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

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

2 About me Name: Gertjan Looye Education: Delft, Faculty of Aerospace Engineering MSc. (1996), PhD. (2008) Career: Institute of System Dynamics and Control (since 1996) Head of Aircraft Systems Dynamics (since 2013)

3 What are the two lectures about? Flight control laws In the following also referred to as FCLs Examples of FCL functions Basic principles of FCLs Focus: aircraft flight path control FCL design aspects Current developments

4 What are the two lectures about? Commanded variables Aircraft response Feedback control Three views: - The hardware view - The software view and - The system dynamics view

5 DLR.de Chart 5 Let s start with some examples

6 DLR.de Chart 6 Boeing 747 First aircraft with new generation of modern Autopilots that use Inertial Navigation Systems )VWXIVHIV;E]TSMRXWEYXSRSQJSPKX

7 DLR.de Chart 7 Hawker-Siddeley HS-121 Trident First aircraft with certified automatic landing system EYGLFIM7MGLX! ZMIP6IHYRHER^

8 DLR.de Chart 8 Lockheed Tristar First aircraft with certified active loads control system First (and only) aircraft with spoiler-based direct lift control (during approach and landing) %RHIV7XIPPIZSRWXEVOI7XVYOXYV LEXXIIWEOXMZI6IKIPYRKKIKIR:IVJSVQYRKI /SQTIRWEXMSRZSR8YVFYPIR^IR

9 DLR.de Chart 9 Airbus A320 NOT the first passenger aircraft with fly-by-wire controls (Concorde) First aircraft with control algorithms commanded by side-stick 4MPSX)MRKEFIRWXIYIVRRMGLXHMVIOXHMI7XIPPYRKHIV7XIPP GLIR WSRHIVR[IVHIRMR7IHMQIRXEXMSRWKIWGL[MRHMKOIMXYQKIVIGLRIX RIYXVEPI4SWMXMSR0SWPEWWIRFIYXIX0EKIFIMFILEPXIR

10 DLR.de Chart 10 Airbus A /600 First aircraft with certified vibration control functions 7XVYOXYVWGL[MRKYRKIR[IVHIRQMX%IVSH]REQMWGLIR/V JXIROSQTIRWMIVX (MIWOERREYWKIWGLEPXIX[IVHIRJEPPWIWWGLPMQQIV[MVH

11 DLR.de Chart 11 Boeing ER First Boeing aircraft with pilot-commanded control algorithms First aircraft with anti tailstrike control laws 6 HIV[IVHIRFIMQ7XEVXKIRIMKXYQWGLRIPPIVEYJ^YLIFIR

12 DLR.de Chart 12 Boeing First aircraft with certified active flutter suppresion system

13 DLR.de Chart 13 X-31A First aircraft with thrust-vectoring control and post-stall manoeurving capability 7XEFMPFMW+VEHTMXGL 0ERHYRKQMXFMW^Y+VEHTMXGL %OXMZI/SRXVSPPKIKIREYJWIX^IR

14 DLR.de Chart 14 ATTAS DLR s former inflight simulator with experiment facility for flight control law testing *VIMTVSKVEQQMIVFEVI6IGLRIVER&SVH HMI1ERJ VHMI*PYKWXIYIVYRKERWGLPMI IRO RRXI

15 DLR.de Chart 15 Flight control functionalities So, there are quite some types of control functions: Automatic flight path and speed control Manual flightpath and speed control On-ground control Loads control Structural control, Active flutter suppression, Aircraft flight path Aircraft airframe We will focus on flight path control: manual or automatic

16 Planning Tuesday June 16 th o Examples of FCL functions o Aircraft flight dynamics: point-mass equations o Basic principles of flight path control o An autopilot control law that always works o Simulation experiments (RCAM example) Wednesday June 17 th o Aircraft flight dynamics: attitude dynamics o Basic principles of attitude control o Simulation experiments (RCAM example) o Optional: Future trends in flight control law design

17 DLR.de Chart 17 The Research Civil Aircraft Model (RCAM) Provided by Airbus for GARTEUR Project Robust Flight Control FM(AG08) Nonlinear 6DOF equations of motion Simple aerodynamics for landing configuration Used by 15 design teams for robust control design challenge Extensively published (book can be downloaded) Model is public domain (Matlab/Simulink) and available on request

18 DLR.de Chart 18 Equations of motion of a point mass TMXGL Small angle assumptions for aero angles No wind, just for this lecture! m = mass g = gravity acceleration L = Lift D = Drag Φ = Roll attitude angle

19 DLR.de Chart 19 Means of flight path control L T D

20 DLR.de Chart 20 Means of flight path control 0EKIHIW*PYK^YIKW L L 0 *PYKTJEH T,SVM^SRXEP TMXGL VSPP D Lift control: angle of attack

21 DLR.de Chart 21 The lift-drag polar Changing lift means Changing drag!

22 DLR.de Chart 22 Means of control of the flight path trajectory Φ L Lateral control: Tilt the lift vector! Φ

23 DLR.de Chart 23 Trimming the aircraft: straight flight = sin + = cos Φ = 0 8VMQQMRK!!7XIPPYRKWSHEWWHMIHMI0EKIWMGLRMGLXRHIVX %PWS%FPIMXYRK4MXGL!%FPIMXYRK6SPP! WMRHIV+PIMGLYRKWIX^IRYRH+PIMGLYRKYQWXIPPIR YQHMI+IWYGLXI:EVMEFPIRWSPP[IVXI^Y RHIR

24 DLR.de Chart 24 Trimming the aircraft: straight flight, higher flight path angle + =sin( + )+ = cos( + ) Φ = 0 In cosine: usually neglected

25 DLR.de Chart 25 Trimming the aircraft: straight flight, higher airspeed + = sin + + = cos Φ = 0 Why does D change? Does D increase or decrease?

26 DLR.de Chart 26 The backside of the power curve

27 DLR.de Chart 27 The Phugoid motion: linearised equations ( +sin +cos = + 1 2, +, ( +sin sin = 1 2,+ +, ( + ) = 1 2, ( sin = 1 2 +, = 1, 1, sin

28 DLR.de Chart 28 The Phugoid motion: exchange between kinetic and potential enery

29 DLR.de Chart 29 Flight control at last! Today: automatic flight path and speed control Most aircraft use a combination of Autopilot control flight path angles via aircraft attitude, and Autothrottle control speed using thrust Modern autopilots / autothrottles have quite some modes:. 2MGLX-HIEP QERWSPPEYJV YQIR "L]VEVGLMGLIJYROXMSRIR source: T. Lambregts

30 DLR.de Chart 30 Design requirements (qualitatively) Stability and stability margins in any flight condition (remember: feedback control!) Smooth command responses (no overshoots, no excessive accelerations, ) Smooth control commands (engines!!) Decoupling Envelope protection Response to failure cases Interactions with other disciplines (loads, flutter, )

31 DLR.de Chart 31 An autopilot control law that always works Let s go one step back, now reasoning the other way around: Specific excess energy This equation tells us: Thrust affects acceleration and flight path angle As an autopilot / autothrottle have to control both: Use thrust to control the specific excess energy!!

32 DLR.de Chart 32 An autopilot control law that always works Question: how to distribute between potential and kinetic energy? Answer: Use aircraft attitude to control:

33 DLR.de Chart 33 The Total Energy Control System (TECS)! " + =T - D + $ $ &' ( )" = KTI *!( " + $! " + KTP! " + Control Algorithm! $ = KEI% $ $ KEP

34 DLR.de Chart 34 The Total Energy Control System (TECS) Inventor: Tony Lambregts

35 DLR.de Chart 35 Mode implementation becomes easy! V c WSPP8EVKIX: HM!IVV +! $ %YXSXVLXXPI7GLYFVIKIPYRK QYWWEPPIWOSVVMKMIVIR[EW HIV%YXSTMPSKVYMRMIVX V TAS MWX+IQIWWIR h c WSPP +, $ %YXSTMPSX 0EKI h MWX

36 DLR.de Chart 36 TECS as an autopilot core

37 DLR.de Chart 37 Means of flight path control: lateral Φ L TMXGL Φ $ = χ $ = + χ $ χ Φ Control Algorithm!

38 DLR.de Chart 38 Online demo

39 DLR.de Chart 39 The effect of wind The following shows an example of a flight test with focus on wind effects So far, we did not discuss this, but wind, turbulence and wind shears have a massive inpact on the design of flight control laws

40 Flight test: Definition of approach trajectory Spiral Runway G/A LOC / Alt / CAS hold ILS FPA ~ -3deg Hinit ILS Standard ILS approach Hend Rturn Dturn Ground Track

41 Background motivation: Helical Noise Abatement Procedure (HeNAP) 66 db Kontur Standartanflug 66 db Kontur Spiralanflug maximale Schalldruckpegel am Boden

42 Wind (kts) Results Go-arounds Runway EDVE Helical approaches h [m] Steep approaches X [m] Ground tracks 1000 Y [m]

43 Results: roll and side slip angles Roll angle Side slip angle (sensor) Side slip angle (synth.) 25 Varying roll 20angle due to varying Ground speed 15 (airspeed is held constant) φ, β [deg] time [s]

44 Results: velocities 105 Ground speed V CAS, V, V compl [m/s] V CAS V V compl Air speed time [s] Go-around

45 Turning flight in constant wind V not constant! Simplification: Level flight µ mg/cos(µ) Y [m] Adapting bank angle mv rhelix mv 2 r helix 2 mg 2 V = mg tan µ = tan µ gr helix r helix Bank angle µ [deg] Constant bank angle X [m] No Wind Wind 20 kts, χ W = Track angle χ [deg] 4 1 Folie 45> Vortrag > Autor Dokumentname > Datum

46 Results: crab angle wind Aircraft heading

47 DLR.de Chart 47 Dealing with noisy airdata: complement airdata and inertial data

48 DLR.de Chart 48 Two complicated figures (1/2)

49 DLR.de Chart 49 Definition of pitch attitude L 0 D

50 DLR.de Chart 50 Two complicated figures (2/2)

51 DLR.de Chart 51 The Newton-Euler moment equations of motion See for example: Flugregelung, R. Brockhaus, Springer

52 DLR.de Chart 52 Rolling moment control - =./ & & Simplified: - =./ &- -

53 DLR.de Chart 53 Yawing moment control : - =./ ; ; ; 6 7+ ;&8 8 + ; &

54 DLR.de Chart 54 Couplings - =./ & &- - : - =./ ; ; ; 6 7+ ;&8 8 + ; &- -

55 DLR.de Chart 55 Pitching moment control < - =./ ) + ) =. 3 + ) + )&> > - 8

56 DLR.de Chart 56 A very common approach for attitude control: Nonlinear Dynamic Inversion Invert the equation: Angular rates Angular accelerations are commanded, control surface deflections computed! We will use the roll example to explain ist principles: - =./ &- -

57 DLR.de Chart 57 NDI applied to roll 23 =./ &- - - = $ Ideal case: 23 = 2$

58 Completing the control loop pc ' p c 1 s Perfect inversion p b Far better: p c 1 s y c p& c y& c Command shaping (reference model) y Disturbance rejection

59 Completing the control loop pc ' p c 1 s Perfect inversion p b Command shaping and disturbance rejection Far better: p c 1 s y c p& c y& c Command shaping (reference model) y Disturbance rejection

60 DLR.de Chart 60 Online demo

61 Dynamic Inversion: advantages/disadvantages Advantages: Application to aircraft is straight forward Excellent nominal performance: decoupling and linearization of A/C dynamics Potentially elaborate gain-scheduling is avoided Disadvantages: No inherent robustness to modeling errors and model simplifications Control laws inherit complexity of the aircraft model Inversion, implementation, and verification may be tedious and error-prone Saturation Also note: Requires state feedback Internal stability of zero-dynamics has to be checked afterwards

62 DLR.de Chart 62 Some future trends: adaptive / fault tolerant control - = $ online Determination (system identification) - = $ Messen

63 DLR.de Chart 63 Control design integrated into aircraft design process

64 DLR.de Chart 64 New configurations

65 DLR.de Chart 65 End Thank you for your attention! Also see the RCAM example models!

66 DLR.de Chart 66 Contact Gertjan Looye Deutsches Zentrum für Luft- und Raumfahrt e.v. (DLR) German Aerospace Center Oberpfaffenhofen Institute of System Dynamics and Control Department of Aircraft Systems Dynamics A: Wessling Germany T: 08153/ F: 08153/ E: I:

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