简介
Summary:
Publisher Summary 1
"Preface Since the Industrial Revolution, control systems have played important roles in improving product quality, saving energy, reducing emission, and relieving the drudgery of routine repetitive manual operations. In the past hundred years, many theories have been proposed for control system design. However, there are three main problems when some of these advanced control theories are applied to industrial systems: 1. These theories depend on empirical methods or trial-and-error methods in choosing weighting functions. 2. Both the design procedures and results are complicated for under- standing and using. 3. The controllers cannot be designed or tuned for quantitative engineering performance indices (such as overshoot or stability margin). In this book, an improved theory called the Quantitative Process Control Theory is introduced to solve these problems. This new theory has three features: 1. When using the theory, the designer is not required to choose a weighting function. 2. The design is suboptimal and analytical. It is easy to understand and use. 3. The controllers can be designed or tuned for quantitative engineering performance indices. Mathematical proofs are provided in this book for almost all results, especially when they contribute tothe understanding of the subjects presented. This will, I believe, enhance the educational value of this book. During the procedure of writing, as few concepts as possible are introduced and as few mathematical tools as possible are employed so as to make the book acces- sible. Examples are presented at strategic points to help readers understand the subjects discussed. Chapter summaries are included to highlight the main problems and results"--
Publisher Summary 2
"Preface Since the Industrial Revolution, control systems have played important roles in improving product quality, saving energy, reducing emission, and relieving the drudgery of routine repetitive manual operations. In the past hundred years, many theories have been proposed for control system design. However, there are three main problems when some of these advanced control theories are applied to industrial systems: 1. These theories depend on empirical methods or trial-and-error methods in choosing weighting functions. 2. Both the design procedures and results are complicated for under- standing and using. 3. The controllers cannot be designed or tuned for quantitative engineering performance indices (such as overshoot or stability margin). In this book, an improved theory called the Quantitative Process Control Theory is introduced to solve these problems. This new theory has three features: 1. When using the theory, the designer is not required to choose a weighting function. 2. The design is suboptimal and analytical. It is easy to understand and use. 3. The controllers can be designed or tuned for quantitative engineering performance indices. Mathematical proofs are provided in this book for almost all results, especially when they contribute tothe understanding of the subjects presented. This will, I believe, enhance the educational value of this book. During the procedure of writing, as few concepts as possible are introduced and as few mathematical tools as possible are employed so as to make the book accessible. Examples are presented at strategic points to help readers understand the subjects discussed. Chapter summaries are included to highlight the main problems and results"--Provided by publisher.
Publisher Summary 3
Provided by publisher.
目录
Table Of Contents:
List of Figures xi
List of Tables xvii
Symbol Description xix
Preface xxiii
About the Author xxvii
1 Introduction 1(18)
1.1 A Brief History of Control Theory 1(3)
1.2 Design of Feedback Control Systems 4(4)
1.3 Consideration of Control System Design 8(4)
1.4 What This Book Is about 12(3)
1.5 Summary 15(4)
Exercises 17(1)
Notes and References 18(1)
2 Classical Analysis Methods 19(28)
2.1 Process Dynamic Responses 19(4)
2.2 Rational Approximations of Time Delay 23(4)
2.3 Time Domain Performance Indices 27(6)
2.4 Frequency Response Analysis 33(4)
2.5 Transformation of Two Commonly Used Models 37(4)
2.6 Design Requirements and Controller Comparison 41(3)
2.7 Summary 44(3)
Exercises 45(1)
Notes and References 46(1)
3 Essentials of the Robust Control Theory 47(30)
3.1 Norms and System Gains 47(7)
3.2 Internal Stability and Performance 54(5)
3.3 Controller Parameterization 59(3)
3.4 Robust Stability and Robust Performance 62(5)
3.5 Robustness of the System with Time Delay 67(6)
3.6 Summary 73(4)
Exercises 74(1)
Notes and References 74(3)
4 H∞ PID Controllers for Stable Plants 77(36)
4.1 Traditional Design Methods 78(2)
4.2 H∞ PID Controller for the First-Order Plant 80(4)
4.3 The H∞ PID Controller and the Smith Predictor 84(4)
4.4 Quantitative Performance and Robustness 88(11)
4.5 H∞ PID Controller for the Second-Order Plant 99(3)
4.6 All Stabilizing PID Controllers for Stable Plants 102(6)
4.7 Summary 108(5)
Exercises 109(2)
Notes and References 111(2)
5 H2 PID Controllers for Stable Plants 113(36)
5.1 H2 PID Controller for the First-Order Plant 114(3)
5.2 Quantitative Tuning of the H2 PID Controller 117(6)
5.3 H2 PID Controller for the Second-Order Plant 123(5)
5.4 Control of Inverse Response Processes 128(5)
5.5 PID Controller Based on the Maclaurin Series Expansion 133(4)
5.6 PID Controller with the Best Achievable Performance 137(3)
5.7 Choice of the Filter 140(4)
5.8 Summary 144(5)
Exercises 145(2)
Notes and References 147(2)
6 Control of Stable Plants 149(32)
6.1 The Quasi-H∞ Smith Predictor 150(4)
6.2 The H2 Optimal Controller and the Smith Predictor 154(4)
6.3 Equivalents of the Optimal Controller 158(6)
6.4 The PID Controller and High-Order Controllers 164(5)
6.5 Choice of the Weighting Function 169(5)
6.6 Simplified Tuning for Quantitative Robustness 174(2)
6.7 Summary 176(5)
Exercises 177(1)
Notes and References 178(3)
7 Control of Integrating Plants 181(36)
7.1 Feature of Integrating Systems 181(6)
7.2 H∞ PID Controller for Integrating Plants 187(6)
7.3 H2 PID Controller for Integrating Plants 193(5)
7.4 Controller Design for General Integrating Plants 198(7)
7.5 Maclaurin PID Controller for Integrating Plants 205(4)
7.6 The Best Achievable Performance of a PID Controller 209(2)
7.7 Summary 211(6)
Exercises 214(2)
Notes and References 216(1)
8 Control of Unstable Plants 217(40)
8.1 Controller Parameterization for General Plants 217(6)
8.2 H∞ PID Controller for Unstable Plants 223(5)
8.3 H2 PID Controller for Unstable Plants 228(7)
8.4 Performance Limitation and Robustness 235(7)
8.5 Maclaurin PID Controller for Unstable Plants 242(4)
8.6 PID Design for the Best Achievable Performance 246(2)
8.7 All Stabilizing PID Controllers for Unstable Plants 248(3)
8.8 Summary 251(6)
Exercises 253(2)
Notes and References 255(2)
9 Complex Control Strategies 257(38)
9.1 The 2 DOF Structure for Stable Plants 257(6)
9.2 The 2 DOF Structure for Unstable Plants 263(5)
9.3 Cascade Control 268(4)
9.4 An Anti-Windup Structure 272(7)
9.5 Feedforward Control 279(4)
9.6 Optimal Input Disturbance Rejection 283(5)
9.7 Control of Plants with Multiple Time Delays 288(3)
9.8 Summary 291(4)
Exercises 292(1)
Notes and References 293(2)
10 Analysis of MIMO Systems 295(26)
10.1 Zeros and Poles of a MIMO Plant 296(2)
10.2 Singular Values 298(4)
10.3 Norms for Signals and Systems 302(2)
10.4 Nominal Stability and Performance 304(4)
10.5 Robust Stability of MIMO Systems 308(6)
10.6 Robust Performance of MIMO Systems 314(2)
10.7 Summary 316(5)
Exercises 317(3)
Notes and References 320(1)
11 Classical Design Methods for MIMO Systems 321(16)
11.1 Interaction Analysis 321(4)
11.2 Decentralized Controller Design 325(4)
11.3 Decoupler Design 329(5)
11.4 Summary 334(3)
Exercises 334(1)
Notes and References 335(2)
12 Quasi-H∞ Decoupling Control 337(26)
12.1 Diagonal Factorization for Quasi-H∞ Control 337(4)
12.2 Quasi-H∞ Controller Design 341(4)
12.3 Analysis for Quasi-H∞ Control Systems 345(3)
12.4 Increasing Time Delays for Performance Improvement 348(3)
12.5 A Design Example for Quasi-H∞ Control 351(3)
12.6 Multivariable PID Controller Design 354(7)
12.7 Summary 361(2)
Exercises 361(1)
Notes and References 362(1)
13 H2 Decoupling Control 363(26)
13.1 Controller Parameterization for MIMO Systems 363(5)
13.2 Diagonal Factorization for H2 Control 368(3)
13.3 H2 Optimal Decoupling Control 371(3)
13.4 Analysis for H2 Decoupling Control Systems 374(2)
13.5 Design Examples for H2 Decoupling Control 376(7)
13.6 Summary 383(6)
Exercises 386(1)
Notes and References 387(2)
14 Multivariable H2 Optimal Control 389(40)
14.1 Factorization for Simple RHP Zeros 390(4)
14.2 Construction Procedure of Factorization 394(4)
14.3 Factorization for Multiple RHP Zeros 398(7)
14.4 Analysis and Computation 405(5)
14.5 Solution to the H2 Optimal Control Problem 410(3)
14.6 Filter Design 413(3)
14.7 Examples for H2 Optimal Controller Design 416(8)
14.8 Summary 424(5)
Exercises 425(2)
Notes and References 427(2)
Bibliography 429(12)
Index 441
List of Figures xi
List of Tables xvii
Symbol Description xix
Preface xxiii
About the Author xxvii
1 Introduction 1(18)
1.1 A Brief History of Control Theory 1(3)
1.2 Design of Feedback Control Systems 4(4)
1.3 Consideration of Control System Design 8(4)
1.4 What This Book Is about 12(3)
1.5 Summary 15(4)
Exercises 17(1)
Notes and References 18(1)
2 Classical Analysis Methods 19(28)
2.1 Process Dynamic Responses 19(4)
2.2 Rational Approximations of Time Delay 23(4)
2.3 Time Domain Performance Indices 27(6)
2.4 Frequency Response Analysis 33(4)
2.5 Transformation of Two Commonly Used Models 37(4)
2.6 Design Requirements and Controller Comparison 41(3)
2.7 Summary 44(3)
Exercises 45(1)
Notes and References 46(1)
3 Essentials of the Robust Control Theory 47(30)
3.1 Norms and System Gains 47(7)
3.2 Internal Stability and Performance 54(5)
3.3 Controller Parameterization 59(3)
3.4 Robust Stability and Robust Performance 62(5)
3.5 Robustness of the System with Time Delay 67(6)
3.6 Summary 73(4)
Exercises 74(1)
Notes and References 74(3)
4 H∞ PID Controllers for Stable Plants 77(36)
4.1 Traditional Design Methods 78(2)
4.2 H∞ PID Controller for the First-Order Plant 80(4)
4.3 The H∞ PID Controller and the Smith Predictor 84(4)
4.4 Quantitative Performance and Robustness 88(11)
4.5 H∞ PID Controller for the Second-Order Plant 99(3)
4.6 All Stabilizing PID Controllers for Stable Plants 102(6)
4.7 Summary 108(5)
Exercises 109(2)
Notes and References 111(2)
5 H2 PID Controllers for Stable Plants 113(36)
5.1 H2 PID Controller for the First-Order Plant 114(3)
5.2 Quantitative Tuning of the H2 PID Controller 117(6)
5.3 H2 PID Controller for the Second-Order Plant 123(5)
5.4 Control of Inverse Response Processes 128(5)
5.5 PID Controller Based on the Maclaurin Series Expansion 133(4)
5.6 PID Controller with the Best Achievable Performance 137(3)
5.7 Choice of the Filter 140(4)
5.8 Summary 144(5)
Exercises 145(2)
Notes and References 147(2)
6 Control of Stable Plants 149(32)
6.1 The Quasi-H∞ Smith Predictor 150(4)
6.2 The H2 Optimal Controller and the Smith Predictor 154(4)
6.3 Equivalents of the Optimal Controller 158(6)
6.4 The PID Controller and High-Order Controllers 164(5)
6.5 Choice of the Weighting Function 169(5)
6.6 Simplified Tuning for Quantitative Robustness 174(2)
6.7 Summary 176(5)
Exercises 177(1)
Notes and References 178(3)
7 Control of Integrating Plants 181(36)
7.1 Feature of Integrating Systems 181(6)
7.2 H∞ PID Controller for Integrating Plants 187(6)
7.3 H2 PID Controller for Integrating Plants 193(5)
7.4 Controller Design for General Integrating Plants 198(7)
7.5 Maclaurin PID Controller for Integrating Plants 205(4)
7.6 The Best Achievable Performance of a PID Controller 209(2)
7.7 Summary 211(6)
Exercises 214(2)
Notes and References 216(1)
8 Control of Unstable Plants 217(40)
8.1 Controller Parameterization for General Plants 217(6)
8.2 H∞ PID Controller for Unstable Plants 223(5)
8.3 H2 PID Controller for Unstable Plants 228(7)
8.4 Performance Limitation and Robustness 235(7)
8.5 Maclaurin PID Controller for Unstable Plants 242(4)
8.6 PID Design for the Best Achievable Performance 246(2)
8.7 All Stabilizing PID Controllers for Unstable Plants 248(3)
8.8 Summary 251(6)
Exercises 253(2)
Notes and References 255(2)
9 Complex Control Strategies 257(38)
9.1 The 2 DOF Structure for Stable Plants 257(6)
9.2 The 2 DOF Structure for Unstable Plants 263(5)
9.3 Cascade Control 268(4)
9.4 An Anti-Windup Structure 272(7)
9.5 Feedforward Control 279(4)
9.6 Optimal Input Disturbance Rejection 283(5)
9.7 Control of Plants with Multiple Time Delays 288(3)
9.8 Summary 291(4)
Exercises 292(1)
Notes and References 293(2)
10 Analysis of MIMO Systems 295(26)
10.1 Zeros and Poles of a MIMO Plant 296(2)
10.2 Singular Values 298(4)
10.3 Norms for Signals and Systems 302(2)
10.4 Nominal Stability and Performance 304(4)
10.5 Robust Stability of MIMO Systems 308(6)
10.6 Robust Performance of MIMO Systems 314(2)
10.7 Summary 316(5)
Exercises 317(3)
Notes and References 320(1)
11 Classical Design Methods for MIMO Systems 321(16)
11.1 Interaction Analysis 321(4)
11.2 Decentralized Controller Design 325(4)
11.3 Decoupler Design 329(5)
11.4 Summary 334(3)
Exercises 334(1)
Notes and References 335(2)
12 Quasi-H∞ Decoupling Control 337(26)
12.1 Diagonal Factorization for Quasi-H∞ Control 337(4)
12.2 Quasi-H∞ Controller Design 341(4)
12.3 Analysis for Quasi-H∞ Control Systems 345(3)
12.4 Increasing Time Delays for Performance Improvement 348(3)
12.5 A Design Example for Quasi-H∞ Control 351(3)
12.6 Multivariable PID Controller Design 354(7)
12.7 Summary 361(2)
Exercises 361(1)
Notes and References 362(1)
13 H2 Decoupling Control 363(26)
13.1 Controller Parameterization for MIMO Systems 363(5)
13.2 Diagonal Factorization for H2 Control 368(3)
13.3 H2 Optimal Decoupling Control 371(3)
13.4 Analysis for H2 Decoupling Control Systems 374(2)
13.5 Design Examples for H2 Decoupling Control 376(7)
13.6 Summary 383(6)
Exercises 386(1)
Notes and References 387(2)
14 Multivariable H2 Optimal Control 389(40)
14.1 Factorization for Simple RHP Zeros 390(4)
14.2 Construction Procedure of Factorization 394(4)
14.3 Factorization for Multiple RHP Zeros 398(7)
14.4 Analysis and Computation 405(5)
14.5 Solution to the H2 Optimal Control Problem 410(3)
14.6 Filter Design 413(3)
14.7 Examples for H2 Optimal Controller Design 416(8)
14.8 Summary 424(5)
Exercises 425(2)
Notes and References 427(2)
Bibliography 429(12)
Index 441
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