GARTEUR Open ROBUST CONTROL TECHNIQUES TUTORIAL DOCUMENT PROVISIONAL

Size: px
Start display at page:

Download "GARTEUR Open ROBUST CONTROL TECHNIQUES TUTORIAL DOCUMENT PROVISIONAL"

Transcription

1 ORIGINAL: ENGLISH Febuary 14, 1996 GARTEUR Open ROBUST CONTROL TECHNIQUES TUTORIAL DOCUMENT PROVISIONAL GARTEUR aims at stimulating and co-ordinating co-operation between Research Establishments and Industry in the areas of Aerodynamics, Flight Mechanics, Helicopters, Structures & Materials and Propulsion Technology

2 @RRTguR GROUP FOR AERONAUTICAL RESEARCH AND TECHNOLOGY IN EUROPE ORIGINAL: ENGLISH Febuary 14, 1996 GARTEUR Open ROBUST CONTROL TECHNIQUES TTJTORIAL DOCUMENT PROVISIONAL This report has been prepared under auspices of the Responsables for Flight Mechanics, Systems and Integration of the Group for Aeronautical Research and Technology in EURope (GARTEUR) Group of Resp. : FM-GoR Report Resp. : I. Delgad Project Man. : J.C. Terlouwl ad// 96 L 7' Monitoring Resp. : J.T.M. van Doord Action Group : FM(AGO8) Version : 1, Draft: 3 Completed : Febuary 14, 19% GARTEUR 1996

3 daw6w Version: 1, Draft: 3 -i- Date: Febuary 14, 1996 GARTEUWTP I List of authors Chapter 1 : I. Delgadol, A. Martinez1 Chapter 2 : I. Delgado, A. Martinez Chapter 3 : J.M. de la C d Chapter 4 : J. Aranda2 Chapter 5 : I. Delgado Chapter 6 : I. Delgado Chapter 7 : I. Delgado Chapter 8 : I. Delgado Chapter 9 : J.M. de la Cruz Chapter 10 : J.M. de la Cruz Chapter 11 : A. Helmersson3 Chapter 12 : G. Griibel, H. D. Joos4 Chapter 13 : F. Amato, M. MateiS Chapter 14 : I. Delgado, A. Helmersson, S. Scala6 19 ' INTA, Crta. de Ajalvir p.k.4, Tonej6n de Ardoz, Spain m UNED, Dpto. de InformAtica y Automzltica, Ciudad Universitaria Madrid, Spain. 21 ' Linkoping University, Sweden a 4 Deutsche Forschungsanstdt fiir Luft- und Raumfahrt e.v., Germany P 5 Universita degli Studi di Napoli Federico 11, Italy 24 6 Centro Italiano Richerche Aerospaziali, Italy

4 QARTEUR Version: 1, Draft: 3 -ii- Date: Febuary 14, 1996 GARTEUWTP Summary In GARTEUR Action Group FM(AG08) a design challenge is performed in order to demonstrate how robust flight control theory can be applied to realistic problems and also to demonstrate the limitations of such techniques. For this purpose two benchmark problems have been defined: the Research Civil Aircraft Model (RCAM) and the High Incidence Research Model (HIRM). Twentytwo teams participate in the challenge, together applying the following methods: Robust Eigenvalue/Eigenstructure Assignment Non-Linear Dynamic Inversion (NLDI) Lyapunov Methods Space Parameter H, Linear Quadratic (LQ) & Associated Techniques (LQGILTR) Predictive Control Structured Singular Values. p Analysis & Synthesis Multi-CriteriaIMulti-Model Parameter Tunning Fuzzy Logic Neural Networks Robust Inverse Dynamic Estimation (RIDE) Classical control A short description of each of these techniques is given, except for the last four which may be treated in an update. The main objective of this report is to support a comparative study about applicability, advantages and drawbacks of the methods. In face of this activity, which will be performed during the Evaluation Phase of the project, each technique is treated according to the same structure with sections on the global goals of the method, the systems model description, the controller structure, the design specifications, the analysis approach, the controller synthesis approach, practical implementation aspects and the relation with other methods. Another objective is to provide the committees that will review the HIRM and RCAM design documents with information about the techniques that are being applied. Two techniques which are not applied by the design teams are treated as well: 14. Quantitative Feedback Theory 15. Kharitonov Theory Finally, some theoretical background about Lyapunov concepts, Singular Values and Linear matrix Inequalities is included.

5 QBMCLm Version: 1, Draft: 3 -iii- Date: Febuary 14, 1996 GARTEURITP I Distribution list 2 3 FM(AG08) principal persons Ahmed S (GB) Ambrosino G (IT) Bernussou F(FR) Delgado I (ES) Dormido S (ES) Duranti P (IT) Fielding C (UK) Gautrey J (UK) Helmersson A (SE) Joos H Laidlaw D (GB) Luckner Maciejowski J (UK) Magni J F (FR) Muir E (GB) Post H (NL) Postlethwaite I (UK) Pratt R (UK) Stilhl-Gunnarsson K (SE) Terlouw J C (NL) Vaart J C van der (NL) Verde L 0 a CCL UNA LAAS-CNSR INTA ' UNED ALN BAe-MAD CUN LiTH DLR AVRO DAA UCAM CERT-ONERA DRA FAC ULES LUT SMA NLR DUT CIRA 28 r, Members of the Flight Mechanics, Systems and Integration Group of Responsables Brihstrijmm B (SE) FMV-F-FL n Doom J T M van (NL) NLR 33 England P (GB) DRA (Bedford) 34 R~dloff DLR 35 Verbrugge R A (FR) ONERA-IMFL

6 Version: 1, Draft: 3 Date: Febuary 14, 1996 GARTEUR/TP Jonasson K A (SE) FFA Others Ackennann Amato F (IT) Aranda J (ES) Arzeiler D (FR) Bennani S (NL) Boer W P de (NL) Bournans L (NL) Ciglio U (lt) Cook M (UK) Cruz M de la (ES) Dam A A ten (NL) Dang Vu B (FR) D6ll (FR) Escande B (FR) Faleiro L (UK) Game G (GB) Garcia G (FR) Gennuso D (IT) Glover K (UK) Griibel G (DE) Huynh H T m) Huzrnezan M (UK) Hyde R (GB) Irving J (WK) Labarrere M (FR) Lambrechts P (NL) Lambregts A (NL) Looye G J (NL) Martfnez A (ES) Mattei M Menard P (FR) Moormann Mulder A (NL) Navarro J L (ES) DLR UNAP UNED LAAS-CNRS DUT NLR NIVR CIRA CUN UNED NLR ONERA (Salon) CERT ONERA (Salon) LUT BAe (Filton) LAAS-CNSR ALN UCAM DLR ONERA (Salon) UCAM CCL DASA CERT-ONERA NLR DUT DUT INTA UNAP AS DLR FAC INTA

7 QIRRUBR Version: 1, Draft: 3 -v- Date: Febuary 14, 1996 GARTEURITP I Papageorgiou G (UK) 2 Patel Y (UK) 3 Quesada J L (ES) 4 Rouwhorst W (NL) 5 ScalaS(IT) 6 Schram G (NL) 7 Schuring J (NL) 8 S~hurhg-c~~p~ (NL) 9 Sienel W (DE) 10 Smerlas A (UK) 11 SmithP(GB) 12 Spee J (NL) 13 Tonon A (IT) 14 Tucker M (UK) IS Valk P (NL) 16 WalkerDO 17 Weiden A van der (NL) 18 Weise UCAM DRA INTA NLR CIRA DUT NLR NLR DLR ULES DRA (Bedford) NLR ALN ULES DUT ULES DUT DAA 19 P

8 QlRTEllLKR Version: 1, Draft: 3 -vi- Date: Febuary 14, 1996 GARTEUWTP-088-7

9 afiwgm Version: 1, Draft: 3 -vii- Date: Febuary 14, 1996 GARTEuwTp Contents List of figures... viii List of symbols and abbreviations... ix Introduction... 1 Contents of Tutorial Document on Robust Control Techniques....3 Robust Eigemhmchm Assignment Technique Non Linear Dynamic Inversion Technique Lyapunov Methods mtative Feedback Theory (QFT) 36 Space Parameter Methods H,Tecbniques LQTecbiques Predictive Control Structured S i Values Multi-CriteriaMulti-Model Parameter Tuning ~haribnov Theory MathematicalAppendix

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

101

102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

120

121

122

123

124

125

126

127

128

129

130

131

132

133

134

135

136

137

GARTEUR Open. RCAM Preliminary Design Document. Flight Mechanics Action Group 08

GARTEUR Open. RCAM Preliminary Design Document. Flight Mechanics Action Group 08 GROUP FOR AERONAUTICAL RESEARCH AND TECHNOLOGY IN EUROPE ORIGINAL: ENGLISH Nov. 1, 1995 GARTEUR Open RCAM Preliminary Design Document by Flight Mechanics Action Group 08 GARTEUR aims at stimulating and

More information

GARTEUR Open. Communication Handbook IJY. Fliglit Meclianics Action Group 08

GARTEUR Open. Communication Handbook IJY. Fliglit Meclianics Action Group 08 ORIGINAL: ENGLISH Marcll 11, 1996 GARTEUR Open Communication Handbook IJY Fliglit Meclianics Action Group 08 GARTEUR aims at stimulating and c*ordinnting -operation between Researcli Establisliments and

More information

. GflRTEUR GROUP FOR AERONAUTICAL RESEARCH AND TECHNOLOGY IN EUROPE

. GflRTEUR GROUP FOR AERONAUTICAL RESEARCH AND TECHNOLOGY IN EUROPE . GflRTEUR GROUP FOR AERONAUTICAL RESEARCH AND TECHNOLOGY IN EUROPE ORIGINAL: ENGLISH GARTEUR FM(AG08)iTP-088-2 May 22,1995 GARTEUR Open Flight Control Law Process Model for Use in the GARTEUR Action Group

More information

GROUP FOR AERONAUTICAL RESEARCH AND TECHNOLOGY IN EUROPE ORIGINAL: ENGLISH April 4, 997 GARTEUR Open Post-Design Stability Robustness Assessment of th

GROUP FOR AERONAUTICAL RESEARCH AND TECHNOLOGY IN EUROPE ORIGINAL: ENGLISH April 4, 997 GARTEUR Open Post-Design Stability Robustness Assessment of th GROUP FOR AERONAUTICAL RESEARCH AND TECHNOLOGY IN EUROPE ORIGINAL: ENGLISH April 4, 997 GARTEUR Open Post-Design Stability Robustness Assessment of the RCAM Controller Design Entries by G. Looye, D. Moormann,

More information

ORIGINAL: ENGLISH ADDREF : NLR CR L JULY 31, 1995 GARTEUR OPEN

ORIGINAL: ENGLISH ADDREF : NLR CR L JULY 31, 1995 GARTEUR OPEN ' ORIGINAL: ENGLISH ADDREF : NLR CR 95350 L JULY 31, 1995 GARTEUR OPEN EXPERIMENTAL DESIGN AND TESTPLAN FOR A PILOTED INVESTIGATION OF: A FLIGHT-DIRECTOR GO-AROUND MODE, A REACTIVE WINDSHEAR DETEC'TION

More information

A Nomenclature and Acronyms A.1 List of Acronyms

A Nomenclature and Acronyms A.1 List of Acronyms A Nomenclature and Acronyms A.1 List of Acronyms Acronym Definition AA Absolute Amplitude ADMIRE Aero-Data Model In Research Environment AG Action Group Airbus Airbus Deutschland GmbH AoA Angle of Attack

More information

New Analysis Techniques for Clearance of Flight Control Laws An overview of GARTEUR Flight Mechanics Action Group 11

New Analysis Techniques for Clearance of Flight Control Laws An overview of GARTEUR Flight Mechanics Action Group 11 Nationaal Lucht- en Ruimtevaartlaboratorium National Aerospace Laboratory NLR New Analysis Techniques for Clearance of Flight Control Laws An overview of GARTEUR Flight Mechanics Action Group 11 M. Selier,

More information

M 21 M 22 1 S. . x. x u B D A C

M 21 M 22 1 S. . x. x u B D A C Robstness Assessment of Flight Controllers for a Civil Aircraft sing,analysis. G.H.N. Looye ;2, S. Bennani 2, A. Varga, D. Moormann, G. Grbel Detsches Zentrm fr Lft- nd Ramfahrt (DLR) Institt fr Robotik

More information

in the DNW-HST High Speed Wind Tunnel

in the DNW-HST High Speed Wind Tunnel Nationaal Lucht- en Ruinitevaartlaboratorium National Aerospace Laboratory NLR -. GARTEUR LIMITED Test report of the GARTEUR A028 Model AS28 in the DNW-HST High Speed Wind Tunnel F.L.A. Ganzevles and D.

More information

ONE OF THE major problems in the design of flight

ONE OF THE major problems in the design of flight IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, VOL. 13, NO. 1, JANUARY 2005 15 Robust Nonlinear Flight Control of a High-Performance Aircraft Qian Wang, Member, IEEE, and Robert F. Stengel, Fellow, IEEE

More information

Fokker Aircraft B.V. Schiphol telephone: telex: FMHS NL telex spares: AMFO NL fax:

Fokker Aircraft B.V. Schiphol telephone: telex: FMHS NL telex spares: AMFO NL fax: Fokker Aircraft B.V. Schiphol telephone: 31 20 605 91 11 telex: 11526 FMHS NL telex spares: 16208 AMFO NL fax: 31 20 605 3200 - Fokker Aircraft B.V.. P.O. box 7600. 1117 LI Schiphol. Holland your letterlreference

More information

Automated Generation of LFT-Based Parametric Uncertainty Descriptions from Generic Aircraft Models

Automated Generation of LFT-Based Parametric Uncertainty Descriptions from Generic Aircraft Models Mathematical and Computer Modelling of Dynamical Systems 1387-3954/98/0404-249$12.00 1998, Vol. 4, No. 4, pp. 249-274 c Swets & Zeitlinger Automated Generation of LFT-Based Parametric Uncertainty Descriptions

More information

Particle Image Velocimetry : a breakthrough in experimental aerodynamics for industry.

Particle Image Velocimetry : a breakthrough in experimental aerodynamics for industry. Hamburg 29-31/01/01 EUROPIV 2 Particle Image Velocimetry : a breakthrough in experimental aerodynamics for industry. M. Stanislas, J. Kompenhans, W. Kühn, J. Courty, M. Deschamps Contracts numbers : BR.PR-CT95-00118

More information

GARTEUR LIMITED GARTEUR TP SAAB TECHNICAL EPORT FKH R-4109

GARTEUR LIMITED GARTEUR TP SAAB TECHNICAL EPORT FKH R-4109 GARTEUR LIMITED GARTEUR TP- 10 1-2 SAAB TECHNICAL EPORT FKH R-4109 GARTEUR - STRUCTURES AND MATEMALS - AG 16 DAMAGE PROPAGATION IN COMPOSITE STRUCTURAL ELEMENTS FINAL REPORT PART 2 - COWONS To Ireman (Saab)

More information

Aircraft Pitch Attitude Control Using Backstepping

Aircraft Pitch Attitude Control Using Backstepping Aircraft Pitch Attitude Control Using Backstepping Ola Härkegård and Torkel Glad Department of Electrical Engineering Linköping University, SE-581 83 Linköping, Sweden WWW: http://www.control.isy.liu.se

More information

An introduction to flight control algorithms. Gertjan Looye 6SX%RQIVOYRKIRZSR71SRXIRIKVS

An introduction to flight control algorithms. Gertjan Looye 6SX%RQIVOYRKIRZSR71SRXIRIKVS An introduction to flight control algorithms Gertjan Looye 6SX%RQIVOYRKIRZSR71SRXIRIKVS About me Name: Gertjan Looye Education: Delft, Faculty of Aerospace Engineering MSc. (1996), PhD. (2008) Career:

More information

GARTEUR ACTION GROUP SM AG 23 TP 125 ACTIVE EQUIPMENT ISOLATION AND STRUCTURAL DAMPING FINAL REPORT. Compiled by. Benoît PETITJEAN, ONERA/DDSS

GARTEUR ACTION GROUP SM AG 23 TP 125 ACTIVE EQUIPMENT ISOLATION AND STRUCTURAL DAMPING FINAL REPORT. Compiled by. Benoît PETITJEAN, ONERA/DDSS *$57(85 GROUP FOR AERONAUTICAL RESEARCH AND TECHNOLOGY IN EUROPE FRANCE - GERMANY - ITALY - THE NETHERLANDS - SPAIN - SWEDEN - UNITED KINGDOM GARTEUR ACTION GROUP SM AG 23 TP 125 ACTIVE EQUIPMENT ISOLATION

More information

8 The HIRM+ Flight Dynamics Model

8 The HIRM+ Flight Dynamics Model 8 The HIRM+ Flight Dynamics Model Dieter Moormann EADS Deutschland GmbH, Military Aircraft MT62 Flight Dynamcis, 81663 München, Germany Dieter.Moormann@m.eads.net Summary. The major objective of the GARTEUR

More information

A Backstepping Design for Flight Path Angle Control

A Backstepping Design for Flight Path Angle Control A Backstepping Design for Flight Path Angle Control Ola Härkegård and S. Torkel Glad Division of Automatic Control Department of Electrical Engineering Linköpings universitet, SE-581 83 Linköping, Sweden

More information

GARTEUR/TP-108-2, FFA TN GARTEUR LIMITED 2 GARTEUR LIMITED

GARTEUR/TP-108-2, FFA TN GARTEUR LIMITED 2 GARTEUR LIMITED GARTEUR/TP-108-2, FFA TN 1999-34 GARTEUR LIMITED 2 GARTEUR LIMITED GARTEUR LIMITED GARTEUR/TP-108-2, FFA TN 1999-34 Abstract Errata (known problems to be fixed before final printing): There is a remaining

More information

Roll Ratcheting: Cause and Analysis. Gordon Hohne. Institut fur Flugsystemtechnik Braunschweig. 268 pages 155 figures 87 tables 187 references

Roll Ratcheting: Cause and Analysis. Gordon Hohne. Institut fur Flugsystemtechnik Braunschweig. 268 pages 155 figures 87 tables 187 references Deutsches Zentrum fur Luft- und Raumfahrt e.v. Forschungsbericht 2001-15 Roll Ratcheting: Cause and Analysis Gordon Hohne Institut fur Flugsystemtechnik Braunschweig 268 pages 155 figures 87 tables 187

More information

Resolving the dependence on free-stream values for the k-omega turbulence model

Resolving the dependence on free-stream values for the k-omega turbulence model Resolving the dependence on free-stream values for the k-omega turbulence model J.C. Kok Resolving the dependence on free-stream values for the k-omega turbulence model J.C. Kok This report is based on

More information

QFT VERSUS CLASSICAL GAIN SCHEDULING: STUDY FOR A FAST FERRY

QFT VERSUS CLASSICAL GAIN SCHEDULING: STUDY FOR A FAST FERRY Copyright 00 IFAC 5th Triennial World Congress, Barcelona, Spain QFT VERSUS CLASSICAL GAIN SCHEDULING: STUDY FOR A FAST FERRY J. Aranda, J. M. de la Cruz, J.M. Díaz, S. Dormido Canto Dpt. De Informática

More information

ME 425: Aerodynamics

ME 425: Aerodynamics ME 45: Aerodynamics Dr. A.B.M. Toufique Hasan Professor Department of Mechanical Engineering Bangladesh University of Engineering & Technology (BUET), Dhaka Lecture-0 Introduction toufiquehasan.buet.ac.bd

More information

Lecture Notes in Control and Information Sciences 453

Lecture Notes in Control and Information Sciences 453 Lecture Notes in Control and Information Sciences 453 Editors Professor Dr.-Ing. Manfred Thoma Institut fuer Regelungstechnik, Universität Hannover, Appelstr. 11, 30167 Hannover, Germany E-mail: thoma@irt.uni-hannover.de

More information

Approximating Fixed-Horizon Forecasts Using Fixed-Event Forecasts

Approximating Fixed-Horizon Forecasts Using Fixed-Event Forecasts Approximating Fixed-Horizon Forecasts Using Fixed-Event Forecasts Malte Knüppel and Andreea L. Vladu Deutsche Bundesbank 9th ECB Workshop on Forecasting Techniques 4 June 216 This work represents the authors

More information

Adaptive Control Tutorial

Adaptive Control Tutorial Adaptive Control Tutorial Petros loannou University of Southern California Los Angeles, California Baris Fidan National ICT Australia & Australian National University Canberra, Australian Capital Territory,

More information

Analysis of Pilot-in-the-Loop Oscillations Due to Position and Rate Saturations

Analysis of Pilot-in-the-Loop Oscillations Due to Position and Rate Saturations * Dipartimento di Informatica e Sistemistica Università degli Studi di Napoli Federico II Via Claudio,, Napoli, Italy {framato, rafierv}@unina.it Analysis of ilot-in-the-loop Oscillations Due to osition

More information

Comparative analysis of decoupling control methodologies and multivariable robust control for VS-VP wind turbines

Comparative analysis of decoupling control methodologies and multivariable robust control for VS-VP wind turbines Comparative analysis of decoupling control methodologies and multivariable robust control for VS-VP wind turbines Sergio Fragoso, Juan Garrido, Francisco Vázquez Department of Computer Science and Numerical

More information

A Crash-Course on the Adjoint Method for Aerodynamic Shape Optimization

A Crash-Course on the Adjoint Method for Aerodynamic Shape Optimization A Crash-Course on the Adjoint Method for Aerodynamic Shape Optimization Juan J. Alonso Department of Aeronautics & Astronautics Stanford University jjalonso@stanford.edu Lecture 19 AA200b Applied Aerodynamics

More information

Country

Country Total A 36,3 31,1 B 33,8 36,9 37,4 D 41,4 D-W 41,6 37,7 40,7 42,4 D-E 28,2 36,9 36,8 DK 55,8 49,1 48,8 E 33,2 39,5 33,2 28,9 F 44,4 33,1 36,3 FIN 62,2 30,9 50,6 54,6 GB 26,1 26,2 27,1 GR 14,5 I 34,5 32,1

More information

Efficient Modelling of a Nonlinear Gust Loads Process for Uncertainty Quantification of Highly Flexible Aircraft

Efficient Modelling of a Nonlinear Gust Loads Process for Uncertainty Quantification of Highly Flexible Aircraft Efficient Modelling of a Nonlinear Gust Loads Process for Uncertainty Quantification of Highly Flexible Aircraft SciTech, 8 th -12 th January 2018 Kissimmee, Florida Robert Cook, Chris Wales, Ann Gaitonde,

More information

An LQ R weight selection approach to the discrete generalized H 2 control problem

An LQ R weight selection approach to the discrete generalized H 2 control problem INT. J. CONTROL, 1998, VOL. 71, NO. 1, 93± 11 An LQ R weight selection approach to the discrete generalized H 2 control problem D. A. WILSON², M. A. NEKOUI² and G. D. HALIKIAS² It is known that a generalized

More information

Germain Garcia. LAAS CNRS University of Toulouse : INSA. 40th Anniversary of LAAS CNRS

Germain Garcia. LAAS CNRS University of Toulouse : INSA. 40th Anniversary of LAAS CNRS Germain Garcia LAAS CNRS University of Toulouse : INSA OUTLINE Objective : Give an overview of some works developed in LAAS CNRS in Control design. The presentation is non exhaustive and presents only

More information

Tuning of PID Controllers Based on Sensitivity Margin Specification

Tuning of PID Controllers Based on Sensitivity Margin Specification Tuning of D Controllers ased on Sensitivity Margin Specification S. Dormido and F. Morilla Dpto. de nformática y Automática-UNED c/ Juan del Rosal 6, 84 Madrid, Spain e-mail: {sdormido,fmorilla}@dia.uned.es

More information

Necessary and Sufficient Conditions for Input-Output Finite-Time Stability of Impulsive Dynamical Systems

Necessary and Sufficient Conditions for Input-Output Finite-Time Stability of Impulsive Dynamical Systems Necessary and Sufficient Conditions for Input-Output Finite-Time Stability of Impulsive Dynamical Systems Francesco Amato 1 Gianmaria De Tommasi 2 Alfredo Pironti 2 1 Università degli Studi Magna Græcia

More information

Uncertainty Quantification in Gust Loads Analysis of a Highly Flexible Aircraft Wing

Uncertainty Quantification in Gust Loads Analysis of a Highly Flexible Aircraft Wing Uncertainty Quantification in Gust Loads Analysis of a Highly Flexible Aircraft Wing IFASD 2017 25 th - 28 th June 2017, Como R. G. Cook, C. Wales, A. L. Gaitonde, D. P. Jones and Jonathan Cooper University

More information

Characterizing the role of diabatic processes for the modification of mid-latitude Rossby waves and Jetstream winds

Characterizing the role of diabatic processes for the modification of mid-latitude Rossby waves and Jetstream winds Characterizing the role of diabatic processes for the modification of mid-latitude Rossby waves and Jetstream winds Andreas Schäfler 1, George Craig 2, Andreas Dörnbrack 1, Florian Harnisch 4, Uwe Marksteiner

More information

Necessary and Sufficient Conditions for Input-Output Finite-Time Stability of Linear Time-Varying Systems

Necessary and Sufficient Conditions for Input-Output Finite-Time Stability of Linear Time-Varying Systems Necessary and Sufficient Conditions for Input-Output Finite-Time Stability of Linear Time-Varying Systems Francesco Amato 1 Giuseppe Carannante 2 Gianmaria De Tommasi 2 Alfredo Pironti 2 1 Università degli

More information

Model based optimization and estimation of the field map during the breakdown phase in the ITER tokamak

Model based optimization and estimation of the field map during the breakdown phase in the ITER tokamak Model based optimization and estimation of the field map during the breakdown phase in the ITER tokamak Roberto Ambrosino 1 Gianmaria De Tommasi 2 Massimiliano Mattei 3 Alfredo Pironti 2 1 CREATE, Università

More information

Appendix A Solving Linear Matrix Inequality (LMI) Problems

Appendix A Solving Linear Matrix Inequality (LMI) Problems Appendix A Solving Linear Matrix Inequality (LMI) Problems In this section, we present a brief introduction about linear matrix inequalities which have been used extensively to solve the FDI problems described

More information

Fixed-Order H Controller Design via HIFOO, a Specialized Nonsmooth Optimization Package

Fixed-Order H Controller Design via HIFOO, a Specialized Nonsmooth Optimization Package Fixed-Order H Controller Design via HIFOO, a Specialized Nonsmooth Optimization Package Suat Gumussoy Michael L. Overton Abstract We report on our experience with fixed-order H controller design using

More information

Review on Aircraft Gain Scheduling

Review on Aircraft Gain Scheduling Review on Aircraft Gain Scheduling Z. Y. Kung * and I. F. Nusyirwan a Department of Aeronautical Engineering, Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia.

More information

Comparison of Feedback Controller for Link Stabilizing Units of the Laser Based Synchronization System used at the European XFEL

Comparison of Feedback Controller for Link Stabilizing Units of the Laser Based Synchronization System used at the European XFEL Comparison of Feedback Controller for Link Stabilizing Units of the Laser Based Synchronization System used at the European XFEL M. Heuer 1 G. Lichtenberg 2 S. Pfeiffer 1 H. Schlarb 1 1 Deutsches Elektronen

More information

CONTRAILS FROM (A)ATSR(2) DATA

CONTRAILS FROM (A)ATSR(2) DATA CONTRAILS FROM (A)ATSR(2) DATA Hermann Mannstein and Rüdiger Büll Deutsches Zentrum für Luft- und Raumfahrt, Oberpfaffenhofen, 82230 Wessling, Germany ABSTRACT/RESUME The DLR contrail detection algorithm

More information

Parameterized Linear Matrix Inequality Techniques in Fuzzy Control System Design

Parameterized Linear Matrix Inequality Techniques in Fuzzy Control System Design 324 IEEE TRANSACTIONS ON FUZZY SYSTEMS, VOL. 9, NO. 2, APRIL 2001 Parameterized Linear Matrix Inequality Techniques in Fuzzy Control System Design H. D. Tuan, P. Apkarian, T. Narikiyo, and Y. Yamamoto

More information

A nonlinear approach to the control of a disc-shaped aircraft

A nonlinear approach to the control of a disc-shaped aircraft A nonlinear approach to the control of a disc-shaped aircraft Jean-Marie Kai, Tarek Hamel, Claude Samson To cite this version: Jean-Marie Kai, Tarek Hamel, Claude Samson. A nonlinear approach to the control

More information

Hover Control for Helicopter Using Neural Network-Based Model Reference Adaptive Controller

Hover Control for Helicopter Using Neural Network-Based Model Reference Adaptive Controller Vol.13 No.1, 217 مجلد 13 العدد 217 1 Hover Control for Helicopter Using Neural Network-Based Model Reference Adaptive Controller Abdul-Basset A. Al-Hussein Electrical Engineering Department Basrah University

More information

Sets Exercise 1. Question 1: Which of the following are sets? Justify your answer.

Sets Exercise 1. Question 1: Which of the following are sets? Justify your answer. 1 Sets Exercise 1 Question 1: Which of the following are sets? Justify your answer. (i) The collection of all months of a year beginning with the letter J. (ii) The collection of ten most talented writers

More information

Prerequisite: Qualification by assessment process or completion of Mathematics 1050 or one year of high school algebra with a grade of "C" or higher.

Prerequisite: Qualification by assessment process or completion of Mathematics 1050 or one year of high school algebra with a grade of C or higher. Reviewed by: D. Jones Reviewed by: B. Jean Reviewed by: M. Martinez Text update: Spring 2017 Date reviewed: February 2014 C&GE Approved: March 10, 2014 Board Approved: April 9, 2014 Mathematics (MATH)

More information

First results of the UHV system 'LIFE' (Light Irradiation Facility for Exochemistry)

First results of the UHV system 'LIFE' (Light Irradiation Facility for Exochemistry) Osservatorio Astronomico di Palermo (INAF-OAPa) First results of the UHV system '' (Light Irradiation Facility for Exochemistry) Antonio Jimenez-Escobar Angela Ciaravella Cesare Cecchi-Pestellini Giuliana

More information

The European height reference system and its realizations

The European height reference system and its realizations The European height reference system and its realizations Martina Sacher, Gunter Liebsch EUREF symposium 2015 Tutorial Height & Gravity June 02, Leipzig, Germany Contents 1. UELN-forerunner - Steps of

More information

MathB65 Ch 1 I,II,III, IV.notebook. August 23, 2017

MathB65 Ch 1 I,II,III, IV.notebook. August 23, 2017 Chapter 1: Expressions, Equations and Inequalities I. Variables & Constants II. Algebraic Expressions III. Translations IV. Introduction to Equations V. The Additive/Multiplication Principles VI. Strategy

More information

Neural Network Control of Robot Manipulators and Nonlinear Systems

Neural Network Control of Robot Manipulators and Nonlinear Systems Neural Network Control of Robot Manipulators and Nonlinear Systems F.L. LEWIS Automation and Robotics Research Institute The University of Texas at Arlington S. JAG ANNATHAN Systems and Controls Research

More information

New Results In Numerical And Experimental Fluid Mechanics V: Contributions To The 14th STAB/DGLR Symposium Bremen, Germany 2004 (Notes On Numerical

New Results In Numerical And Experimental Fluid Mechanics V: Contributions To The 14th STAB/DGLR Symposium Bremen, Germany 2004 (Notes On Numerical New Results In Numerical And Experimental Fluid Mechanics V: Contributions To The 14th STAB/DGLR Symposium Bremen, Germany 2004 (Notes On Numerical Fluid Mechanics And Multidisciplinary Design) (v. 5)

More information

Some considerations on the accuracy of derivative computation from PIV vector fields.

Some considerations on the accuracy of derivative computation from PIV vector fields. 4th International Symposium on Particle Image Velocimetry Göttingen, Germany, September 7-9, 2 PIV Paper 69 Some considerations on the accuracy of derivative computation from PIV vector fields. J.M. Foucaut

More information

GEO-CRADLE Regional Event Access to raw materials. Veronika Kopačková, Czech Geological Survey EO-MINERS

GEO-CRADLE Regional Event Access to raw materials. Veronika Kopačková, Czech Geological Survey EO-MINERS GEO-CRADLE Regional Event Access to raw materials Veronika Kopačková, Czech Geological Survey EO-MINERS Morocco&Algeria 17-23 October 2016 EO-MINERS (2010-2013) EO-MINERS was a Research and Technological

More information

EPIC OBSERVATIONS OF BRIGHT BL LAC OBJECTS: WHAT CAN WE LEARN FROM THE X-RAY SPECTRA ABOUT THE ISM

EPIC OBSERVATIONS OF BRIGHT BL LAC OBJECTS: WHAT CAN WE LEARN FROM THE X-RAY SPECTRA ABOUT THE ISM 1 EPIC OBSERVATIONS OF BRIGHT BL LAC OBJECTS: WHAT CAN WE LEARN FROM THE X-RAY SPECTRA ABOUT THE ISM F. Haberl 1, S. Sembay 2, B. Altieri 3, and W. Brinkmann 1 1 Max-Planck-Institut fu r extraterrestrische

More information

Advanced Aerospace Control. Marco Lovera Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano

Advanced Aerospace Control. Marco Lovera Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano Advanced Aerospace Control Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano ICT for control systems engineering School of Industrial and Information Engineering Aeronautical Engineering

More information

Dr. Andrea L Afflitto

Dr. Andrea L Afflitto Dr. Andrea L Afflitto Contact Information 865 Asp Ave. Voice: (405) 325-7885 Last updated: January, 2019 Aerospace and Mechanical Engineering Fax: (405) 325-1088 The University of Oklahoma E-mail: a.lafflitto@ou.edu

More information

DEPARTMENT OF AEROSPACE ENGINEERING, IIT MADRAS

DEPARTMENT OF AEROSPACE ENGINEERING, IIT MADRAS DEPARTMENT OF AEROSPACE ENGINEERING, IIT MADRAS B.Tech Curriculum (from July 015) Semester-wise credit hour distribution Semester I Win. II Sum. III IV V VI VII VIII Total Credits 51 3 56 3 50 56 50* 48*

More information

Generation of Basic Semi-algebraic Invariants Using Convex Polyhedra

Generation of Basic Semi-algebraic Invariants Using Convex Polyhedra Generation of Basic Semi-algebraic Invariants Using Convex Polyhedra Generation of Invariant Conjunctions of Polynomial Inequalities Using Convex Polyhedra R. Bagnara 1, E. Rodríguez-Carbonell 2, E. Zaffanella

More information

Economic and Social Council

Economic and Social Council United Nations Economic and Social Council Distr.: General 18 July 2016 Original: English Committee of Experts on Global Geospatial Information Management Sixth session New York, 3-5 August 2016 Item 2

More information

FUZZY CONTROL OF NONLINEAR SYSTEMS WITH INPUT SATURATION USING MULTIPLE MODEL STRUCTURE. Min Zhang and Shousong Hu

FUZZY CONTROL OF NONLINEAR SYSTEMS WITH INPUT SATURATION USING MULTIPLE MODEL STRUCTURE. Min Zhang and Shousong Hu ICIC Express Letters ICIC International c 2008 ISSN 1881-803X Volume 2, Number 2, June 2008 pp. 131 136 FUZZY CONTROL OF NONLINEAR SYSTEMS WITH INPUT SATURATION USING MULTIPLE MODEL STRUCTURE Min Zhang

More information

Chemistry with Spanish for Science

Chemistry with Spanish for Science Programme Specification (Undergraduate) Chemistry with Spanish for Science This document provides a definitive record of the main features of the programme and the learning outcomes that a typical student

More information

Robust Multivariable Control

Robust Multivariable Control Lecture 1 Anders Helmersson anders.helmersson@liu.se ISY/Reglerteknik Linköpings universitet Addresses email: anders.helmerson@liu.se mobile: 0734278419 http://users.isy.liu.se/rt/andersh/teaching/robkurs.html

More information

A Real Time Piano Model Including Longitudinal Modes

A Real Time Piano Model Including Longitudinal Modes Introduction String Modeling Implementation Issues A Real Time Piano Model Including Longitudinal Modes Stefano Zambon and Federico Fontana Dipartimento di Informatica Università degli Studi di Verona

More information

A Generalization of Barbalat s Lemma with Applications to Robust Model Predictive Control

A Generalization of Barbalat s Lemma with Applications to Robust Model Predictive Control A Generalization of Barbalat s Lemma with Applications to Robust Model Predictive Control Fernando A. C. C. Fontes 1 and Lalo Magni 2 1 Officina Mathematica, Departamento de Matemática para a Ciência e

More information

Aerodynamic force analysis in high Reynolds number flows by Lamb vector integration

Aerodynamic force analysis in high Reynolds number flows by Lamb vector integration Aerodynamic force analysis in high Reynolds number flows by Lamb vector integration Claudio Marongiu, Renato Tognaccini 2 CIRA, Italian Center for Aerospace Research, Capua (CE), Italy E-mail: c.marongiu@cira.it

More information

Application of Robust Control in Unmanned Vehicle Flight Control System Design

Application of Robust Control in Unmanned Vehicle Flight Control System Design Cranfield University Salah I. AlSwailem Application of Robust Control in Unmanned Vehicle Flight Control System Design College of Aeronautics PhD Thesis PhD Thesis Academic Year 2003-2004 Salah I. AlSwailem

More information

Country

Country Total EU-12 89,6 89,4 85,7 82,9 85,9 86,9 87,4 EU-15 89,6 85,7 83,1 86,2 87,0 87,5 EU-25 87,9 A 95,1 90,2 88,0 90,8 88,2 93,7 B 80,7 91,1 84,6 84,3 86,3 89,6 85,8 D 95,1 94,1 86,1 86,3 88,0 86,4 89,4 D-W

More information

DEVELOPMENT AND USE OF OPERATIONAL MODAL ANALYSIS

DEVELOPMENT AND USE OF OPERATIONAL MODAL ANALYSIS Università degli Studi di Napoli Federico II DEVELOPMENT AND USE OF OPERATIONAL MODAL ANALYSIS Examples of Civil, Aeronautical and Acoustical Applications Francesco Marulo Tiziano Polito francesco.marulo@unina.it

More information

or i 2 = -1 i 4 = 1 Example : ( i ),, 7 i and 0 are complex numbers. and Imaginary part of z = b or img z = b

or i 2 = -1 i 4 = 1 Example : ( i ),, 7 i and 0 are complex numbers. and Imaginary part of z = b or img z = b 1 A- LEVEL MATHEMATICS P 3 Complex Numbers (NOTES) 1. Given a quadratic equation : x 2 + 1 = 0 or ( x 2 = -1 ) has no solution in the set of real numbers, as there does not exist any real number whose

More information

Block Structure and Grid Logic, Part 1: Blocks and Segments

Block Structure and Grid Logic, Part 1: Blocks and Segments Deutsches Zentrum für Luft- und Raumfahrt e.v. Block Structure and Grid Logic, Part 1: Blocks and Segments Jochen Raddatz Institute of Aerodynamics and Flow Technology, Braunschweig Overview: What is a

More information

Minimum Linear Arrangements

Minimum Linear Arrangements Minimum Linear Arrangements Rafael Andrade, Tibérius Bonates, Manoel Câmpelo, Mardson Ferreira ParGO - Research team in Parallel computing, Graph theory and Optimization Department of Statistics and Applied

More information

AFAULT diagnosis procedure is typically divided into three

AFAULT diagnosis procedure is typically divided into three 576 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 47, NO. 4, APRIL 2002 A Robust Detection and Isolation Scheme for Abrupt and Incipient Faults in Nonlinear Systems Xiaodong Zhang, Marios M. Polycarpou,

More information

LYAPUNOV theory plays a major role in stability analysis.

LYAPUNOV theory plays a major role in stability analysis. 1090 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 49, NO. 7, JULY 2004 Satisficing: A New Approach to Constructive Nonlinear Control J. Willard Curtis, Member, IEEE, and Randal W. Beard, Senior Member,

More information

Longitudinal Automatic landing System - Design for CHARLIE Aircraft by Root-Locus

Longitudinal Automatic landing System - Design for CHARLIE Aircraft by Root-Locus International Journal of Scientific and Research Publications, Volume 3, Issue 7, July 2013 1 Longitudinal Automatic landing System - Design for CHARLIE Aircraft by Root-Locus Gaber El-Saady, El-Nobi A.Ibrahim,

More information

SYNTHESIS OF LOW ORDER MULTI-OBJECTIVE CONTROLLERS FOR A VSC HVDC TERMINAL USING LMIs

SYNTHESIS OF LOW ORDER MULTI-OBJECTIVE CONTROLLERS FOR A VSC HVDC TERMINAL USING LMIs SYNTHESIS OF LOW ORDER MULTI-OBJECTIVE CONTROLLERS FOR A VSC HVDC TERMINAL USING LMIs Martyn Durrant, Herbert Werner, Keith Abbott Control Institute, TUHH, Hamburg Germany; m.durrant@tu-harburg.de; Fax:

More information

MIMO Toolbox for Matlab

MIMO Toolbox for Matlab MIMO Toolbox for Matlab Oskar Vivero School of Electric and Electronic Engineering University of Manchester, Manchester, UK M60 1QD Email: oskar.vivero@postgrad.manchester.ac.uk Jesús Liceaga-Castro Departamento

More information

FINITE HORIZON ROBUST MODEL PREDICTIVE CONTROL USING LINEAR MATRIX INEQUALITIES. Danlei Chu, Tongwen Chen, Horacio J. Marquez

FINITE HORIZON ROBUST MODEL PREDICTIVE CONTROL USING LINEAR MATRIX INEQUALITIES. Danlei Chu, Tongwen Chen, Horacio J. Marquez FINITE HORIZON ROBUST MODEL PREDICTIVE CONTROL USING LINEAR MATRIX INEQUALITIES Danlei Chu Tongwen Chen Horacio J Marquez Department of Electrical and Computer Engineering University of Alberta Edmonton

More information

Short-Term Weather Forecasting for Probabilistic Wake-Vortex Prediction

Short-Term Weather Forecasting for Probabilistic Wake-Vortex Prediction Short-Term Weather Forecasting for Probabilistic Wake-Vortex Prediction Frank Holzäpfel Deutsches Zentrum für Luft- und Raumfahrt, Institut für Physik der Atmosphäre, Oberpfaffenhofen, Germany Summary

More information

Lecture 5: Functions : Images, Compositions, Inverses

Lecture 5: Functions : Images, Compositions, Inverses Lecture 5: Functions : Images, Compositions, Inverses 1 Functions We have all seen some form of functions in high school. For example, we have seen polynomial, exponential, logarithmic, trigonometric functions

More information

Multiobjective optimization for automatic tuning of robust Model Based Predictive Controllers

Multiobjective optimization for automatic tuning of robust Model Based Predictive Controllers Proceedings of the 7th World Congress The International Federation of Automatic Control Multiobjective optimization for automatic tuning of robust Model Based Predictive Controllers P.Vega*, M. Francisco*

More information

ROBUST CONTROL OF A FLEXIBLE MANIPULATOR ARM: A BENCHMARK PROBLEM. Stig Moberg Jonas Öhr

ROBUST CONTROL OF A FLEXIBLE MANIPULATOR ARM: A BENCHMARK PROBLEM. Stig Moberg Jonas Öhr ROBUST CONTROL OF A FLEXIBLE MANIPULATOR ARM: A BENCHMARK PROBLEM Stig Moberg Jonas Öhr ABB Automation Technologies AB - Robotics, S-721 68 Västerås, Sweden stig.moberg@se.abb.com ABB AB - Corporate Research,

More information

Nonlinear Identification of Backlash in Robot Transmissions

Nonlinear Identification of Backlash in Robot Transmissions Nonlinear Identification of Backlash in Robot Transmissions G. Hovland, S. Hanssen, S. Moberg, T. Brogårdh, S. Gunnarsson, M. Isaksson ABB Corporate Research, Control Systems Group, Switzerland ABB Automation

More information

LIST OF DOCUMENTS* GROUP OF EXPERTS ON GEOGRAPHICAL NAMES. Twenty-seventh session 15 June 2016 New York, 28 April 2 May 2014

LIST OF DOCUMENTS* GROUP OF EXPERTS ON GEOGRAPHICAL NAMES. Twenty-seventh session 15 June 2016 New York, 28 April 2 May 2014 UNITED NATIONS GROUP OF EXPERTS ON GEOGRAPHICAL NAMES GEGN/29/5/Rev.4 Twenty-seventh session 15 June 2016 New York, 28 April 2 May 2014 LIST OF DOCUMENTS* * Prepared by the UNGEGN Secretariat Symbol Title/Country

More information

DOCUMENT CONTROL SHEET

DOCUMENT CONTROL SHEET DOCUMENT CONTROL SHEET ORIGINATOR S REF. SECURITY CLASS. Unclassified ORGINATOR National Aerospace Laboratory NLR, Amsterdam, The Netherlands TITLE Design and testing of a composite bird strike resistant

More information

Algebra I. Course Outline

Algebra I. Course Outline Algebra I Course Outline I. The Language of Algebra A. Variables and Expressions B. Order of Operations C. Open Sentences D. Identity and Equality Properties E. The Distributive Property F. Commutative

More information

The post launch assessment review confirmed the following previous assertions about the mission status:

The post launch assessment review confirmed the following previous assertions about the mission status: 1 GRACE Newsletter No. 2 August 15, 2003 Topics: http://www.csr.utexas/grace/ http://www.gfz-potsdam.de/grace 1. Editorial 2. Major events in Mission Operations since last Newsletter 3. Current status

More information

H Loop Shaping for Systems with Hard Bounds

H Loop Shaping for Systems with Hard Bounds H Loop Shaping for Systems with Hard Bounds Wolfgang Reinelt Department of Electrical Engineering Linköping University, S-581 83 Linköping, Sweden WWW: http://www.control.isy.liu.se/~wolle/ Email: wolle@isy.liu.se

More information

Input-output finite-time stabilization for a class of hybrid systems

Input-output finite-time stabilization for a class of hybrid systems Input-output finite-time stabilization for a class of hybrid systems Francesco Amato 1 Gianmaria De Tommasi 2 1 Università degli Studi Magna Græcia di Catanzaro, Catanzaro, Italy, 2 Università degli Studi

More information

ULTRA-STABLE OSCILLATORS FOR PLANETARY ENTRY PROBES

ULTRA-STABLE OSCILLATORS FOR PLANETARY ENTRY PROBES ULTRA-STABLE OSCILLATORS FOR PLANETARY ENTRY PROBES S.W. Asmar (1), D.H. Atkinson (2), M.K. Bird (3), G.E. Wood (4) (1) Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109,

More information

Gwinnett has an amazing story to share, spanning 200 years from 1818 until today.

Gwinnett has an amazing story to share, spanning 200 years from 1818 until today. I B, Lm, W - D I C Dm 15, 1818, W C, m D I. T m m m Ck Ck m Jk C. B m, 30, A 20. T mk, B, v v m C. m, m 1776, C C. O A 2, 1776, D I,. C v 437 q m xm 280,000. D 1980, C k, m v. A, 2010, j v 800,000 j m

More information

Programme Specification (Undergraduate) Chemistry

Programme Specification (Undergraduate) Chemistry Programme Specification (Undergraduate) BSc Chemistry This document provides a definitive record of the main features of the programme and the learning outcomes that a typical student may reasonably be

More information

European Butterfly Monitoring Scheme (ebms)

European Butterfly Monitoring Scheme (ebms) European Butterfly Monitoring Scheme (ebms) ebms: European Butterfly Monitoring Scheme What is ebms? Why now? What we ve done so far Next steps What is ebms A partnership to promote and develop butterfly

More information

Optimal Control of Weakly Coupled Systems and Applications

Optimal Control of Weakly Coupled Systems and Applications Optimal Control of Weakly Coupled Systems and Applications HIGH ACCURACY TECHNIQUES Z. Gajić, M-T. Lim, D. Skatarić W-C. Su, and V. Kecman Taylor & Francis (CRC Press, Dekker) 2008 Preface This book is

More information

Improving the Accuracy of Particle Mass Concentration Prediction. Lessons learned from the Eyjafjallajokull crisis and other cases

Improving the Accuracy of Particle Mass Concentration Prediction. Lessons learned from the Eyjafjallajokull crisis and other cases Improving the Accuracy of Particle Mass Concentration Prediction Lessons learned from the Eyjafjallajokull crisis and other cases J-L Brenguier Head Météo-France Experimental Research EUFAR Coordinator

More information

NONLINEAR AND ADAPTIVE (INTELLIGENT) SYSTEMS MODELING, DESIGN, & CONTROL A Building Block Approach

NONLINEAR AND ADAPTIVE (INTELLIGENT) SYSTEMS MODELING, DESIGN, & CONTROL A Building Block Approach NONLINEAR AND ADAPTIVE (INTELLIGENT) SYSTEMS MODELING, DESIGN, & CONTROL A Building Block Approach P.A. (Rama) Ramamoorthy Electrical & Computer Engineering and Comp. Science Dept., M.L. 30, University

More information

Introduction to Model Predictive Control. Dipartimento di Elettronica e Informazione

Introduction to Model Predictive Control. Dipartimento di Elettronica e Informazione Introduction to Model Predictive Control Riccardo Scattolini Riccardo Scattolini Dipartimento di Elettronica e Informazione Finite horizon optimal control 2 Consider the system At time k we want to compute

More information