FEEDBACK and CONTROL SYSTEMS
|
|
- Berenice Lawson
- 5 years ago
- Views:
Transcription
1 SCHA UM'S OUTLINE OF THEORY AND PROBLEMS OF FEEDBACK and CONTROL SYSTEMS Second Edition CONTINUOUS (ANALOG) AND DISCRETE (DIGITAL) JOSEPH J. DiSTEFANO, III, PhD. Departments of Computer Science and Mediane University of California, Los Angeles ALLEN R. STUBBERUD, PhD. Department of Electrica! and Computer Engineering University of California, Irvine IVAN J. WILLIAMS, Ph.D. Space and Technology Group, TR W, Inc. SCHAUM'S OUTLINE SERIES McGRAW-HILL New York San Francisco Washington, D.C. Auckland Bogota Caracas Lisbon London Madrid Mexico City Milan Montreal New Delhi San Juan Singapore Sydney Tokyo Toronto
2 Contents Chapter / INTRODUCTION Control Systems: What They Are Examples of Control Systems Open-Loop and Closed-Loop Control Systems Feedback Characteristics of Feedback Analog and Digital Control Systems The Control Systems Engineering Problem Control System Models or Representations 6 Chapter 2 CONTROL SYSTEMS TERM1NOLOGY Block Diagrams: Fundamentals Block Diagrams of Continuous (Analog) Feedback Control Systems Terminology of the Closed-Loop Block Diagram Block Diagrams of Discrete-Time (Sampled-Data, Digital) Components, Control Systems, and Computer-Controlled Systems Supplementary Terminology Servomechanisms Regulators 23 Chapter 3 DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS, AND LINEAR SYSTEMS System Equations Differential Equations and Difference Equations Partial and Ordinary Differential Equations Time Variability and Time lnvarian.ee Linear and Nonlinear Differential and Difference Equations The Differential Operator D and the Characteristic Equation Linear Independence and Fundamental Sets Solution of Linear Constant-Coefficient Ordinary Differential Equations The Free Response The Forced Response The Total Response The Steady State and Transient Responses Singularity Functions: Steps, Ramps, and Impulses Second-Order Systems State Variable Representation of Systems Described by Linear Differential Equations Solution of Linear Constant-Coefficient Difference Equations State Variable Representation of Systems Described by Linear Difference Equations Linearity and Superposition Causality and Physically Realizable Systems 57
3 Chapter 4 THE LAPLACE TRANSFORM AND THE z-transform Introduction The Laplace Transform The Inverse Laplace Transform Some Properties of the Laplace Transform and Its Inverse Short Table of Laplace Transforms Application of Laplace Transforms to the Solution of Linear Constant-Coefficient Differential Equations Partial Fraction Expansions Inverse Laplace Transforms Using Partial Fraction Expansions The z-transform Determining Roots of Polynomials Complex Plane: Pole-Zero Maps Graphical Evaluation of Residues Second-Ordcr Systems 98 Chapter 5 STABILITY Stability Definition« Characteristic Root Locations for Continuous Systems Routh Stability Criterion Hurwitz Stability Criterion Continued Fraction Stability Criterion Stability Criteria for Discrete-Time Systems 117 Chapter 6 TRANSFER FUNCTIONS Definition of a Continuous System Transfer Function Properties of a Continuous System Transfer Function Transfer Functions of Continuous Control System Compcnsators and Controllers Continuous System Time Response Continuous System Frequency Response Discrete-Time System Transfer Functions, Compensators and Time Responses Discrete-Time System Frequency Response Combining Continuous-Time and Discrete-Time Elements 134 Chapter 7 BLOCK DIAGRAM ALGEBRA AND TRANSFER FUNCTIONS OF SYSTEMS Introduction Review of Fundamentals Blocks in Cascade Canonical Form of a Feedback Control System Block Diagram Transformation Theorems Unity Feedback Systems Superposition of Multiple Inputs Rcduction of Complicated Block Diagrams 160 Chapter 8 SIGNAL FLOW GRAPHS Introduction Fundamentals of Signal Flow Graphs 179
4 8.3 Signal Flow Graph Algebra Definitions Construction of Signal Flow Graphs The General Input-Output Gain Formula Transfer Function Computation of Cascaded Components Block Diagram Reduction Using Signal Flow Graphs and the General Input-Output Gain Formula 187 Chapter 9 SYSTEM SENSITTVITY MEASURES AND CLASSIFICATION OF FEEDBACK SYSTEMS Introduction Sensitivity of Transfer Functions and Frequeney Response Functions to System Parameters Output Sensitivity to Parameters for Differential and Difference Equation Models Classification of Continuous Feedback Systems by Type Position Error Constants for Continuous Unity Feedback Systems Velocity Error Constants for Continuous Unity Feedback Systems Acceleration Error Constants for Continuous Unity Feedback Systems Error Constants for Discrete Unity Feedback Systems Summary Table for Continuous and Discrete-Time Unity Feedback Systems Error Constants for More General Systems 218 Chapter 10 ANALYSIS AND DESIGN OF FEEDBACK CONTROL SYSTEMS: OBJECTIVES AND METHODS Introduction Objectives of Analysis Methods of Analysis Design Objectives System Compensation Design Methods The w-transform for Discrete-Time Systems Analysis and Design Using Continuous System Methods Algebraic Design of Digital Systems, Including Deadbeat Systems 238 Chapter // NYQUIST ANALYSIS Introduction Plotting Complex Functions of a Complex Variable Definitions Properties of the Mapping P(s) or P(z) Polar Plots Properties of Polar Plots The Nyquist Path The Nyquist Stability Plot Nyquist Stability Plots of Practical Feedback Control Systems The Nyquist Stability Criterion Relative Stability M- and N-Circles 263
5 Chapter 12 NYQUIST DESIGN Design Philosophy Gain Factor Compensation Gain Factor Compensation Using M-Circles Lead Compensation Lag Compensation Lag-Lead Compensation Other Compensation Sehemes and Conibinations of Compensators 308 Chapter 13 ROOT-LOCUS ANALYSIS Introduction Variation of Closed-Loop System Poles: The Root-Locus Angle and Magnitude Criteria Number of Loci Real Axis Loci Asymptotes Breakaway Points Departure and Arrival Angles Comtruction of the Root-Locus The Closed-Loop Transfer Function and the Time-Domain Response Gain and Phase Margins from the Root-Locus Damping Ratio from the Root-Locus for Continuous Systems 329 Chapter 14 ROOT-LOCUS DESIGN The Design Problem Cancellation Compensation Phase Compensation: Lead and Lag Networks Magnitude Compensation and Combinations of Compensators Dominant Pole-Zero Approximations Point Design Feedback Compensation 353 Chapter 75 BODE ANALYSIS Introduction Logarithmic Scales and Bode Plots The Bode Form and the Bode Gain for Continuous-Timc Systems Bode Piots of Simple Continuous-Time Frequency Response Functions and Thcir Asymptotie Approximations Construction of Bode Plots for Continuous-Time Systems Bode Plots of Discrete-Time Frequency Response Functions Relative Stability Closed-Loop Frequency Response Bode Analysis of Discrete-Time Systems Using the w-transform 377 Chapter 16 BODE DESIGN Design Philosophy Gain Factor Compensation Lead Compensation for Continuous-Time Systems Lag Compensation for Continuous-Time Systems Lag-Lead Compensation for Continuous-Time Systems Bode Design of Discrete-Time Systems 395
6 Chapter 17 NICHOLS CHART ANALYSIS Introduction db Magnitude-Phase Angle Plots Construction of db Magnitude-Phase Angle Plots Relative Stability The Nichols Chart Closed-Loop Frequency Response Functions 419 Chapter 18 NICHOLS CHART DESIGN Design Philosophy Gain Factor Compensation Gain Factor Compensation Using Constant Amplitude Curves Lead Compensation for Contimious-Time Systems Lag Compensation for Continuous-Time Systems Lag-Lead Compensation Nichols Chart Design of Discrete-Time Systems 443 Chapter 19 INTRODUCTION TO NONLINEAR CONTROL SYSTEMS Introduction Linearized and Piecewise-Linear Approximations of Nonlinear Systems Phase Plane Methods Lyapunov's Stability Criterion Frequency Response Methods 466 Chapter 20 INTRODUCTION TO ADVANCED TOPICS IN CONTROL SYSTEMS ANALYSIS AND DESIGN Introduction Controllability and Observability Time-Domain Design of Feedback Systems (State Feedback) Control Systems with Random Inputs Optimal Control Systems Adaptive Control Systems 485 APPENDIX A 486 Some Laplace Transform Pairs Useful for Control Systems Analysis APPENDIX B 488 Some z-transform Pairs Useful for Control Systems Analysis REFERENCES AND BIBLIOGRAPHY. 489
7 APPENDIX C 491 SAMPLE Screens from thc Companton Inteructiue Outline. INDEX 507
Table of Laplacetransform
Appendix Table of Laplacetransform pairs 1(t) f(s) oct), unit impulse at t = 0 a, a constant or step of magnitude a at t = 0 a s t, a ramp function e- at, an exponential function s + a sin wt, a sine fun
More informationFeedback Control of Dynamic Systems
THIRD EDITION Feedback Control of Dynamic Systems Gene F. Franklin Stanford University J. David Powell Stanford University Abbas Emami-Naeini Integrated Systems, Inc. TT Addison-Wesley Publishing Company
More informationDynamic Systems. Modeling and Analysis. Hung V. Vu. Ramin S. Esfandiari. THE McGRAW-HILL COMPANIES, INC. California State University, Long Beach
Dynamic Systems Modeling and Analysis Hung V. Vu California State University, Long Beach Ramin S. Esfandiari California State University, Long Beach THE McGRAW-HILL COMPANIES, INC. New York St. Louis San
More informationCONTROL * ~ SYSTEMS ENGINEERING
CONTROL * ~ SYSTEMS ENGINEERING H Fourth Edition NormanS. Nise California State Polytechnic University, Pomona JOHN WILEY& SONS, INC. Contents 1. Introduction 1 1.1 Introduction, 2 1.2 A History of Control
More informationCONTROL SYSTEMS ENGINEERING Sixth Edition International Student Version
CONTROL SYSTEMS ENGINEERING Sixth Edition International Student Version Norman S. Nise California State Polytechnic University, Pomona John Wiley fir Sons, Inc. Contents PREFACE, vii 1. INTRODUCTION, 1
More informationEET 3212 Control Systems. Control Systems Engineering, 6th Edition, Norman S. Nise December 2010, A. Goykadosh and M.
NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York 300 Jay Street Brooklyn, NY 11201-2983 Department of Electrical and Telecommunications Engineering Technology TEL (718) 260-5300 - FAX:
More informationContents. PART I METHODS AND CONCEPTS 2. Transfer Function Approach Frequency Domain Representations... 42
Contents Preface.............................................. xiii 1. Introduction......................................... 1 1.1 Continuous and Discrete Control Systems................. 4 1.2 Open-Loop
More informationMATHEMATICAL HANDBOOK. Formulas and Tables
SCHAUM'S OUTLINE SERIES MATHEMATICAL HANDBOOK of Formulas and Tables Second Edition MURRAY R. SPIEGEL, Ph.D. Former Professor and Chairman Mathematics Department Rensselaer Polytechnic Institute Hartford
More informationR a) Compare open loop and closed loop control systems. b) Clearly bring out, from basics, Force-current and Force-Voltage analogies.
SET - 1 II B. Tech II Semester Supplementary Examinations Dec 01 1. a) Compare open loop and closed loop control systems. b) Clearly bring out, from basics, Force-current and Force-Voltage analogies..
More informationKINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING
KINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING QUESTION BANK SUB.NAME : CONTROL SYSTEMS BRANCH : ECE YEAR : II SEMESTER: IV 1. What is control system? 2. Define open
More informationDigital Control Engineering Analysis and Design
Digital Control Engineering Analysis and Design M. Sami Fadali Antonio Visioli AMSTERDAM BOSTON HEIDELBERG LONDON NEW YORK OXFORD PARIS SAN DIEGO SAN FRANCISCO SINGAPORE SYDNEY TOKYO Academic Press is
More information1 An Overview and Brief History of Feedback Control 1. 2 Dynamic Models 23. Contents. Preface. xiii
Contents 1 An Overview and Brief History of Feedback Control 1 A Perspective on Feedback Control 1 Chapter Overview 2 1.1 A Simple Feedback System 3 1.2 A First Analysis of Feedback 6 1.3 Feedback System
More informationTHE PROPERTIES OF GASES AND LIQUIDS
THE PROPERTIES OF GASES AND LIQUIDS Bruce E. Poling University of Toledo John M. Prausnitz University of California at Berkeley John P. O'Connell University of Virginia Fifth Edition McGRAW-HILL New York
More information(b) A unity feedback system is characterized by the transfer function. Design a suitable compensator to meet the following specifications:
1. (a) The open loop transfer function of a unity feedback control system is given by G(S) = K/S(1+0.1S)(1+S) (i) Determine the value of K so that the resonance peak M r of the system is equal to 1.4.
More informationAutomatic Control Systems
Automatic Control Systems Edited by Dr. Yuri Sokolov Contributing Authors: Dr. Victor Iliushko, Dr. Emaid A. Abdul-Retha, Mr. Sönke Dierks, Dr. Pascual Marqués. Published by Marques Aviation Ltd Southport,
More informationControl Systems. University Questions
University Questions UNIT-1 1. Distinguish between open loop and closed loop control system. Describe two examples for each. (10 Marks), Jan 2009, June 12, Dec 11,July 08, July 2009, Dec 2010 2. Write
More informationVALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur
VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur 603 203. DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGINEERING SUBJECT QUESTION BANK : EC6405 CONTROL SYSTEM ENGINEERING SEM / YEAR: IV / II year
More informationIndex. Index. More information. in this web service Cambridge University Press
A-type elements, 4 7, 18, 31, 168, 198, 202, 219, 220, 222, 225 A-type variables. See Across variable ac current, 172, 251 ac induction motor, 251 Acceleration rotational, 30 translational, 16 Accumulator,
More informationEC CONTROL SYSTEM UNIT I- CONTROL SYSTEM MODELING
EC 2255 - CONTROL SYSTEM UNIT I- CONTROL SYSTEM MODELING 1. What is meant by a system? It is an arrangement of physical components related in such a manner as to form an entire unit. 2. List the two types
More informationControl Systems. EC / EE / IN. For
Control Systems For EC / EE / IN By www.thegateacademy.com Syllabus Syllabus for Control Systems Basic Control System Components; Block Diagrammatic Description, Reduction of Block Diagrams. Open Loop
More informationCourse roadmap. ME451: Control Systems. What is Root Locus? (Review) Characteristic equation & root locus. Lecture 18 Root locus: Sketch of proofs
ME451: Control Systems Modeling Course roadmap Analysis Design Lecture 18 Root locus: Sketch of proofs Dr. Jongeun Choi Department of Mechanical Engineering Michigan State University Laplace transform
More informationCourse Summary. The course cannot be summarized in one lecture.
Course Summary Unit 1: Introduction Unit 2: Modeling in the Frequency Domain Unit 3: Time Response Unit 4: Block Diagram Reduction Unit 5: Stability Unit 6: Steady-State Error Unit 7: Root Locus Techniques
More informationSRM UNIVERSITY DEPARTMENT OF BIOMEDICAL ENGINEERING ODD Semester DAY floor
SRM UNIVERSITY DEPARTMENT OF BIOMEDICAL ENGINEERING ODD Semester-2014-2015 CONTROL SYSTEMS Course Code: Course Title: Control Systems Semester: V SEM B. Tech Third Year Course Timings: STAFF NAME: Anitha.G
More informationIC6501 CONTROL SYSTEMS
DHANALAKSHMI COLLEGE OF ENGINEERING CHENNAI DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING YEAR/SEMESTER: II/IV IC6501 CONTROL SYSTEMS UNIT I SYSTEMS AND THEIR REPRESENTATION 1. What is the mathematical
More informationLINEAR AND NONLINEAR PROGRAMMING
LINEAR AND NONLINEAR PROGRAMMING Stephen G. Nash and Ariela Sofer George Mason University The McGraw-Hill Companies, Inc. New York St. Louis San Francisco Auckland Bogota Caracas Lisbon London Madrid Mexico
More informationAnalysis and Synthesis of Single-Input Single-Output Control Systems
Lino Guzzella Analysis and Synthesis of Single-Input Single-Output Control Systems l+kja» \Uja>)W2(ja»\ um Contents 1 Definitions and Problem Formulations 1 1.1 Introduction 1 1.2 Definitions 1 1.2.1 Systems
More informationTheory and Problems of Signals and Systems
SCHAUM'S OUTLINES OF Theory and Problems of Signals and Systems HWEI P. HSU is Professor of Electrical Engineering at Fairleigh Dickinson University. He received his B.S. from National Taiwan University
More informationSECTION 5: ROOT LOCUS ANALYSIS
SECTION 5: ROOT LOCUS ANALYSIS MAE 4421 Control of Aerospace & Mechanical Systems 2 Introduction Introduction 3 Consider a general feedback system: Closed loop transfer function is 1 is the forward path
More informationControls Problems for Qualifying Exam - Spring 2014
Controls Problems for Qualifying Exam - Spring 2014 Problem 1 Consider the system block diagram given in Figure 1. Find the overall transfer function T(s) = C(s)/R(s). Note that this transfer function
More informationVALLIAMMAI ENGINEERING COLLEGE
VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur 603 203 DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK V SEMESTER IC650 CONTROL SYSTEMS Regulation 203 Academic Year 207 8 Prepared
More informationDEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING
KINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK SUBJECT CODE & NAME: CONTROL SYSTEMS YEAR / SEM: II / IV UNIT I SYSTEMS AND THEIR REPRESENTATION PARTA [2
More informationAutomatic Control Systems, 9th Edition
Chapter 7: Root Locus Analysis Appendix E: Properties and Construction of the Root Loci Automatic Control Systems, 9th Edition Farid Golnaraghi, Simon Fraser University Benjamin C. Kuo, University of Illinois
More informationChemical Process Dynamics and Control. Aisha Osman Mohamed Ahmed Department of Chemical Engineering Faculty of Engineering, Red Sea University
Chemical Process Dynamics and Control Aisha Osman Mohamed Ahmed Department of Chemical Engineering Faculty of Engineering, Red Sea University 1 Chapter 4 System Stability 2 Chapter Objectives End of this
More informationNADAR SARASWATHI COLLEGE OF ENGINEERING AND TECHNOLOGY Vadapudupatti, Theni
NADAR SARASWATHI COLLEGE OF ENGINEERING AND TECHNOLOGY Vadapudupatti, Theni-625531 Question Bank for the Units I to V SE05 BR05 SU02 5 th Semester B.E. / B.Tech. Electrical & Electronics engineering IC6501
More informationECE 486 Control Systems
ECE 486 Control Systems Spring 208 Midterm #2 Information Issued: April 5, 208 Updated: April 8, 208 ˆ This document is an info sheet about the second exam of ECE 486, Spring 208. ˆ Please read the following
More informationFUNDAMENTALS OF AERODYNAMICS
*A \ FUNDAMENTALS OF AERODYNAMICS Second Edition John D. Anderson, Jr. Professor of Aerospace Engineering University of Maryland H ' McGraw-Hill, Inc. New York St. Louis San Francisco Auckland Bogota Caracas
More informationR10. IV B.Tech II Semester Regular Examinations, April/May DIGITAL CONTROL SYSTEMS JNTUK
Set No. 1 1 a) Explain about the shifting and scaling operator. b) Discuss briefly about the linear time invariant and causal systems. 2 a) Write the mapping points between S-Plane and Z-plane. b) Find
More informationR10 JNTUWORLD B 1 M 1 K 2 M 2. f(t) Figure 1
Code No: R06 R0 SET - II B. Tech II Semester Regular Examinations April/May 03 CONTROL SYSTEMS (Com. to EEE, ECE, EIE, ECC, AE) Time: 3 hours Max. Marks: 75 Answer any FIVE Questions All Questions carry
More informationLecture 6 Classical Control Overview IV. Dr. Radhakant Padhi Asst. Professor Dept. of Aerospace Engineering Indian Institute of Science - Bangalore
Lecture 6 Classical Control Overview IV Dr. Radhakant Padhi Asst. Professor Dept. of Aerospace Engineering Indian Institute of Science - Bangalore Lead Lag Compensator Design Dr. Radhakant Padhi Asst.
More informationDifferential Equations
Differential Equations Theory, Technique, and Practice George F. Simmons and Steven G. Krantz Higher Education Boston Burr Ridge, IL Dubuque, IA Madison, Wl New York San Francisco St. Louis Bangkok Bogota
More informationDigital Control Systems
Digital Control Systems Lecture Summary #4 This summary discussed some graphical methods their use to determine the stability the stability margins of closed loop systems. A. Nyquist criterion Nyquist
More informationBoundary. DIFFERENTIAL EQUATIONS with Fourier Series and. Value Problems APPLIED PARTIAL. Fifth Edition. Richard Haberman PEARSON
APPLIED PARTIAL DIFFERENTIAL EQUATIONS with Fourier Series and Boundary Value Problems Fifth Edition Richard Haberman Southern Methodist University PEARSON Boston Columbus Indianapolis New York San Francisco
More informationEEE 184 Project: Option 1
EEE 184 Project: Option 1 Date: November 16th 2012 Due: December 3rd 2012 Work Alone, show your work, and comment your results. Comments, clarity, and organization are important. Same wrong result or same
More informationFATIMA MICHAEL COLLEGE OF ENGINEERING & TECHNOLOGY
FATIMA MICHAEL COLLEGE OF ENGINEERING & TECHNOLOGY Senkottai Village, Madurai Sivagangai Main Road, Madurai - 625 020. An ISO 9001:2008 Certified Institution DEPARTMENT OF ELECTRONICS AND COMMUNICATION
More informationCHAPTER 7 : BODE PLOTS AND GAIN ADJUSTMENTS COMPENSATION
CHAPTER 7 : BODE PLOTS AND GAIN ADJUSTMENTS COMPENSATION Objectives Students should be able to: Draw the bode plots for first order and second order system. Determine the stability through the bode plots.
More informationSTABILITY OF CLOSED-LOOP CONTOL SYSTEMS
CHBE320 LECTURE X STABILITY OF CLOSED-LOOP CONTOL SYSTEMS Professor Dae Ryook Yang Spring 2018 Dept. of Chemical and Biological Engineering 10-1 Road Map of the Lecture X Stability of closed-loop control
More informationEC6405 - CONTROL SYSTEM ENGINEERING Questions and Answers Unit - I Control System Modeling Two marks 1. What is control system? A system consists of a number of components connected together to perform
More information7.4 STEP BY STEP PROCEDURE TO DRAW THE ROOT LOCUS DIAGRAM
ROOT LOCUS TECHNIQUE. Values of on the root loci The value of at any point s on the root loci is determined from the following equation G( s) H( s) Product of lengths of vectors from poles of G( s)h( s)
More informationTest 2 SOLUTIONS. ENGI 5821: Control Systems I. March 15, 2010
Test 2 SOLUTIONS ENGI 5821: Control Systems I March 15, 2010 Total marks: 20 Name: Student #: Answer each question in the space provided or on the back of a page with an indication of where to find the
More informationINSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad ELECTRICAL AND ELECTRONICS ENGINEERING TUTORIAL QUESTION BANK
Course Name Course Code Class Branch INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad -500 043 ELECTRICAL AND ELECTRONICS ENGINEERING TUTORIAL QUESTION BAN : CONTROL SYSTEMS : A50 : III B. Tech
More informationME 475/591 Control Systems Final Exam Fall '99
ME 475/591 Control Systems Final Exam Fall '99 Closed book closed notes portion of exam. Answer 5 of the 6 questions below (20 points total) 1) What is a phase margin? Under ideal circumstances, what does
More informationRoot Locus Methods. The root locus procedure
Root Locus Methods Design of a position control system using the root locus method Design of a phase lag compensator using the root locus method The root locus procedure To determine the value of the gain
More informationBasic. Theory. ircuit. Charles A. Desoer. Ernest S. Kuh. and. McGraw-Hill Book Company
Basic C m ш ircuit Theory Charles A. Desoer and Ernest S. Kuh Department of Electrical Engineering and Computer Sciences University of California, Berkeley McGraw-Hill Book Company New York St. Louis San
More informationIntroduction to. Process Control. Ahmet Palazoglu. Second Edition. Jose A. Romagnoli. CRC Press. Taylor & Francis Group. Taylor & Francis Group,
Introduction to Process Control Second Edition Jose A. Romagnoli Ahmet Palazoglu CRC Press Taylor & Francis Group Boca Raton London NewYork CRC Press is an imprint of the Taylor & Francis Group, an informa
More informationELECTRICAL ENGINEERING
ELECTRICAL ENGINEERING Subject Code: EE Course Structure Sections/Units Section A Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Section B Section C Section D Section E Section F Section G Section H
More informationCHAPTER # 9 ROOT LOCUS ANALYSES
F K א CHAPTER # 9 ROOT LOCUS ANALYSES 1. Introduction The basic characteristic of the transient response of a closed-loop system is closely related to the location of the closed-loop poles. If the system
More informationINSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad
INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad - 500 043 Electrical and Electronics Engineering TUTORIAL QUESTION BAN Course Name : CONTROL SYSTEMS Course Code : A502 Class : III
More informationECE317 : Feedback and Control
ECE317 : Feedback and Control Lecture : Steady-state error Dr. Richard Tymerski Dept. of Electrical and Computer Engineering Portland State University 1 Course roadmap Modeling Analysis Design Laplace
More informationINSTRUMENTAL ENGINEERING
INSTRUMENTAL ENGINEERING Subject Code: IN Course Structure Sections/Units Section A Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Section B Section C Section D Section E Section F Section G Section H Section
More informationECEN 605 LINEAR SYSTEMS. Lecture 20 Characteristics of Feedback Control Systems II Feedback and Stability 1/27
1/27 ECEN 605 LINEAR SYSTEMS Lecture 20 Characteristics of Feedback Control Systems II Feedback and Stability Feedback System Consider the feedback system u + G ol (s) y Figure 1: A unity feedback system
More information10ES-43 CONTROL SYSTEMS ( ECE A B&C Section) % of Portions covered Reference Cumulative Chapter. Topic to be covered. Part A
10ES-43 CONTROL SYSTEMS ( ECE A B&C Section) Faculty : Shreyus G & Prashanth V Chapter Title/ Class # Reference Literature Topic to be covered Part A No of Hours:52 % of Portions covered Reference Cumulative
More informationI What is root locus. I System analysis via root locus. I How to plot root locus. Root locus (RL) I Uses the poles and zeros of the OL TF
EE C28 / ME C34 Feedback Control Systems Lecture Chapter 8 Root Locus Techniques Lecture abstract Alexandre Bayen Department of Electrical Engineering & Computer Science University of California Berkeley
More informationCHAPTER 1 Basic Concepts of Control System. CHAPTER 6 Hydraulic Control System
CHAPTER 1 Basic Concepts of Control System 1. What is open loop control systems and closed loop control systems? Compare open loop control system with closed loop control system. Write down major advantages
More informationChapter 2. Classical Control System Design. Dutch Institute of Systems and Control
Chapter 2 Classical Control System Design Overview Ch. 2. 2. Classical control system design Introduction Introduction Steady-state Steady-state errors errors Type Type k k systems systems Integral Integral
More informationIMPROVED TECHNIQUE OF MULTI-STAGE COMPENSATION. K. M. Yanev A. Obok Opok
IMPROVED TECHNIQUE OF MULTI-STAGE COMPENSATION K. M. Yanev A. Obok Opok Considering marginal control systems, a useful technique, contributing to the method of multi-stage compensation is suggested. A
More informationOutline. Classical Control. Lecture 1
Outline Outline Outline 1 Introduction 2 Prerequisites Block diagram for system modeling Modeling Mechanical Electrical Outline Introduction Background Basic Systems Models/Transfers functions 1 Introduction
More informationORGANIC CHEMISTRY. Fifth Edition. Stanley H. Pine
ORGANIC CHEMISTRY Fifth Edition Stanley H. Pine Professor of Chemistry California State University, Los Angeles McGraw-Hill, Inc. New York St. Louis San Francisco Auckland Bogota Caracas Lisbon London
More informationAppendix A: Exercise Problems on Classical Feedback Control Theory (Chaps. 1 and 2)
Appendix A: Exercise Problems on Classical Feedback Control Theory (Chaps. 1 and 2) For all calculations in this book, you can use the MathCad software or any other mathematical software that you are familiar
More informationProblems -X-O («) s-plane. s-plane *~8 -X -5. id) X s-plane. s-plane. -* Xtg) FIGURE P8.1. j-plane. JO) k JO)
Problems 1. For each of the root loci shown in Figure P8.1, tell whether or not the sketch can be a root locus. If the sketch cannot be a root locus, explain why. Give all reasons. [Section: 8.4] *~8 -X-O
More informationSimon Fraser University School of Engineering Science ENSC Linear Systems Spring Instructor Jim Cavers ASB
Simon Fraser University School of Engineering Science ENSC 380-3 Linear Systems Spring 2000 This course covers the modeling and analysis of continuous and discrete signals and systems using linear techniques.
More informationAndrea Zanchettin Automatic Control AUTOMATIC CONTROL. Andrea M. Zanchettin, PhD Spring Semester, Linear systems (frequency domain)
1 AUTOMATIC CONTROL Andrea M. Zanchettin, PhD Spring Semester, 2018 Linear systems (frequency domain) 2 Motivations Consider an LTI system Thanks to the Lagrange s formula we can compute the motion of
More informationDepartment of Electronics and Instrumentation Engineering M. E- CONTROL AND INSTRUMENTATION ENGINEERING CL7101 CONTROL SYSTEM DESIGN Unit I- BASICS AND ROOT-LOCUS DESIGN PART-A (2 marks) 1. What are the
More informationControl Systems Engineering ( Chapter 8. Root Locus Techniques ) Prof. Kwang-Chun Ho Tel: Fax:
Control Systems Engineering ( Chapter 8. Root Locus Techniques ) Prof. Kwang-Chun Ho kwangho@hansung.ac.kr Tel: 02-760-4253 Fax:02-760-4435 Introduction In this lesson, you will learn the following : The
More informationECE 345 / ME 380 Introduction to Control Systems Lecture Notes 8
Learning Objectives ECE 345 / ME 380 Introduction to Control Systems Lecture Notes 8 Dr. Oishi oishi@unm.edu November 2, 203 State the phase and gain properties of a root locus Sketch a root locus, by
More informationFrequency Response Techniques
4th Edition T E N Frequency Response Techniques SOLUTION TO CASE STUDY CHALLENGE Antenna Control: Stability Design and Transient Performance First find the forward transfer function, G(s). Pot: K 1 = 10
More informationStep input, ramp input, parabolic input and impulse input signals. 2. What is the initial slope of a step response of a first order system?
IC6501 CONTROL SYSTEM UNIT-II TIME RESPONSE PART-A 1. What are the standard test signals employed for time domain studies?(or) List the standard test signals used in analysis of control systems? (April
More informationa. Closed-loop system; b. equivalent transfer function Then the CLTF () T is s the poles of () T are s from a contribution of a
Root Locus Simple definition Locus of points on the s- plane that represents the poles of a system as one or more parameter vary. RL and its relation to poles of a closed loop system RL and its relation
More informationUniversity of Science and Technology, Sudan Department of Chemical Engineering.
ISO 91:28 Certified Volume 3, Issue 6, November 214 Design and Decoupling of Control System for a Continuous Stirred Tank Reactor (CSTR) Georgeous, N.B *1 and Gasmalseed, G.A, Abdalla, B.K (1-2) University
More informationINTRODUCTION TO DIGITAL CONTROL
ECE4540/5540: Digital Control Systems INTRODUCTION TO DIGITAL CONTROL.: Introduction In ECE450/ECE550 Feedback Control Systems, welearnedhow to make an analog controller D(s) to control a linear-time-invariant
More informationDynamic Compensation using root locus method
CAIRO UNIVERSITY FACULTY OF ENGINEERING ELECTRONICS & COMMUNICATIONS DEP. 3rd YEAR, 00/0 CONTROL ENGINEERING SHEET 9 Dynamic Compensation using root locus method [] (Final00)For the system shown in the
More informationEssentials of College Algebra
Essentials of College Algebra For these Global Editions, the editorial team at Pearson has collaborated with educators across the world to address a wide range of subjects and requirements, equipping students
More informationCascade Control of a Continuous Stirred Tank Reactor (CSTR)
Journal of Applied and Industrial Sciences, 213, 1 (4): 16-23, ISSN: 2328-4595 (PRINT), ISSN: 2328-469 (ONLINE) Research Article Cascade Control of a Continuous Stirred Tank Reactor (CSTR) 16 A. O. Ahmed
More informationMATLAB for Engineers
MATLAB for Engineers Adrian Biran Moshe Breiner ADDISON-WESLEY PUBLISHING COMPANY Wokingham, England Reading, Massachusetts Menlo Park, California New York Don Mills, Ontario Amsterdam Bonn Sydney Singapore
More informationDISCRETE-TIME SIGNAL PROCESSING
THIRD EDITION DISCRETE-TIME SIGNAL PROCESSING ALAN V. OPPENHEIM MASSACHUSETTS INSTITUTE OF TECHNOLOGY RONALD W. SCHÄFER HEWLETT-PACKARD LABORATORIES Upper Saddle River Boston Columbus San Francisco New
More informationSRI VENKATESWARA COLLEGE OF ENGINEERING
COURSE DELIVERY PLAN - THEORY Page 1 of 7 Department of Chemical Engineering B.E/B.Tech/M.E/M.Tech : Chemical Engineering Regulation:2013 PG Specialisation : NA Sub. Code / Sub. Name : CH 6605 - Process
More information6.1 Sketch the z-domain root locus and find the critical gain for the following systems K., the closed-loop characteristic equation is K + z 0.
6. Sketch the z-domain root locus and find the critical gain for the following systems K (i) Gz () z 4. (ii) Gz K () ( z+ 9. )( z 9. ) (iii) Gz () Kz ( z. )( z ) (iv) Gz () Kz ( + 9. ) ( z. )( z 8. ) (i)
More informationCONTROL SYSTEMS LECTURE NOTES B.TECH (II YEAR II SEM) ( ) Prepared by: Mrs.P.ANITHA, Associate Professor Mr.V.KIRAN KUMAR, Assistant Professor
LECTURE NOTES B.TECH (II YEAR II SEM) (2017-18) Prepared by: Mrs.P.ANITHA, Associate Professor Mr.V.KIRAN KUMAR, Assistant Professor Department of Electronics and Communication Engineering MALLA REDDY
More informationEXPERIMENTS IN PHYSICAL CHEMISTRY
EXPERIMENTS IN PHYSICAL CHEMISTRY SIXTH EDITION DAVID P. SHOEMAKER CARL W. GARLAND JOSEPH W. NIBLER The Late Emeritus Professor of Chemistry Professor of Chemistry Professor of Chemistry Oregon State University
More informationCourse roadmap. ME451: Control Systems. Example of Laplace transform. Lecture 2 Laplace transform. Laplace transform
ME45: Control Systems Lecture 2 Prof. Jongeun Choi Department of Mechanical Engineering Michigan State University Modeling Transfer function Models for systems electrical mechanical electromechanical Block
More informationNETWORK ANALYSIS WITH APPLICATIONS
NETWORK ANALYSIS WITH APPLICATIONS Third Edition William D. Stanley Old Dominion University Prentice Hall Upper Saddle River, New Jersey I Columbus, Ohio CONTENTS 1 BASIC CIRCUIT LAWS 1 1-1 General Plan
More informationSECTION 8: ROOT-LOCUS ANALYSIS. ESE 499 Feedback Control Systems
SECTION 8: ROOT-LOCUS ANALYSIS ESE 499 Feedback Control Systems 2 Introduction Introduction 3 Consider a general feedback system: Closed-loop transfer function is KKKK ss TT ss = 1 + KKKK ss HH ss GG ss
More informationUniversity of California at Berkeley TRUNbTAM THONG TIN.THirVlEN
DECISION MAKING AND FORECASTING With Emphasis on Model Building and Policy Analysis Kneale T. Marshall U.S. Naval Postgraduate School Robert M. Oliver )A1 HOC OUOC GIA HA NO! University of California at
More informationControl Systems I. Lecture 7: Feedback and the Root Locus method. Readings: Jacopo Tani. Institute for Dynamic Systems and Control D-MAVT ETH Zürich
Control Systems I Lecture 7: Feedback and the Root Locus method Readings: Jacopo Tani Institute for Dynamic Systems and Control D-MAVT ETH Zürich November 2, 2018 J. Tani, E. Frazzoli (ETH) Lecture 7:
More informationCYBER EXPLORATION LABORATORY EXPERIMENTS
CYBER EXPLORATION LABORATORY EXPERIMENTS 1 2 Cyber Exploration oratory Experiments Chapter 2 Experiment 1 Objectives To learn to use MATLAB to: (1) generate polynomial, (2) manipulate polynomials, (3)
More informationEC 8391-CONTROL SYSTEMS ENGINEERING. Questions and Answers PART-A. Unit - I Systems Components And Their Representation
EC 8391-CONTROL SYSTEMS ENGINEERING Questions and Answers PART-A Unit - I Systems Components And Their Representation 1. What is control system? A system consists of a number of components connected together
More informationControl Systems I. Lecture 6: Poles and Zeros. Readings: Emilio Frazzoli. Institute for Dynamic Systems and Control D-MAVT ETH Zürich
Control Systems I Lecture 6: Poles and Zeros Readings: Emilio Frazzoli Institute for Dynamic Systems and Control D-MAVT ETH Zürich October 27, 2017 E. Frazzoli (ETH) Lecture 6: Control Systems I 27/10/2017
More informationFrequency Response Analysis
Frequency Response Analysis Consider let the input be in the form Assume that the system is stable and the steady state response of the system to a sinusoidal inputdoes not depend on the initial conditions
More informationLecture 1 Root Locus
Root Locus ELEC304-Alper Erdogan 1 1 Lecture 1 Root Locus What is Root-Locus? : A graphical representation of closed loop poles as a system parameter varied. Based on Root-Locus graph we can choose the
More informationModule 3F2: Systems and Control EXAMPLES PAPER 2 ROOT-LOCUS. Solutions
Cambridge University Engineering Dept. Third Year Module 3F: Systems and Control EXAMPLES PAPER ROOT-LOCUS Solutions. (a) For the system L(s) = (s + a)(s + b) (a, b both real) show that the root-locus
More informationAutomatic Control Systems. Part III: Root Locus Technique
www.pdhcenter.com PDH Coure E40 www.pdhonline.org Automatic Control Sytem Part III: Root Locu Technique By Shih-Min Hu, Ph.D., P.E. Page of 30 www.pdhcenter.com PDH Coure E40 www.pdhonline.org VI. Root
More information