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文件名称:FUZZY CONTROL SYSTEMS DESIGN AND ANALYSIS
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更新时间:2013-01-06 10:05:27
FUZZY CONTROL DESIGN ANALYSIS
A Linear Matrix Inequality Approach
1 INTRODUCTION 1
1.1 A Control Engineering Approach to Fuzzy Control/1
1.2 Outline of This Book/2
2 TAKAGI-SUGENO FUZZY MODEL AND PARALLEL
DISTRIBUTED COMPENSATION 5
2.1 Takagi-Sugeno Fuzzy Model/6
2.2 Construction of Fuzzy Model/9
2.2.1 Sector Nonlinearity/10
2.2.2 Local Approximation in Fuzzy Partition
Spaces/23
2.3 Parallel Distributed Compensation/25
2.4 A Motivating Example/26
2.5 Origin of the LMI-Based Design Approach /29
2.5.1 Stable Controller Design via Iterative
Procedure/30
2.5.2 Stable Controller Design via Linear Matrix
Inequalities/34
v
vi CONTENTS
2.6 Application: Inverted Pendulum on a Cart /38
2.6.1 Two-Rule Modeling and Control/38
2.6.2 Four-Rule Modeling and Control/42
Bibliography/47
3 LMI CONTROL PERFORMANCE CONDITIONS
AND DESIGNS 49
3.1 Stability Conditions/49
3.2 Relaxed Stability Conditions/52
3.3 Stable Controller Design/58
3.4 Decay Rate/62
3.5 Constraints on Control Input and Output /66
3.5.1 Constraint on the Control Input/66
3.5.2 Constraint on the Output/68
3.6 Initial State Independent Condition/68
3.7 Disturbance Rejection/69
3.8 Design Example: A Simple Mechanical System/76
3.8.1 Design Case 1: Decay Rate/78
3.8.2 Design Case 2: Decay RateqConstraint on the Control Input/79
3.8.3 Design Case 3: Stability qConstraint on the Control Input/80
3.8.4 Design Case 4: Stability qConstraint on the Control
InputqConstraint on the Output/81
References/81
4 FUZZY OBSERVER DESIGN 83
4.1 Fuzzy Observer/83
4.2 Design of Augmented Systems/84
4.2.1 Case A/85
4.2.2 Case B/90
4.3 Design Example/93
References/96
5 ROBUST FUZZY CONTROL 97
5.1 Fuzzy Model with Uncertainty/98
5.2 Robust Stability Condition/98
5.3 Robust Stabilization/105
References/108
CONTENTS vii
6 OPTIMAL FUZZY CONTROL 109
6.1 Quadratic Performance Function and Stabilization Control/110
6.2 Optimal Fuzzy Controller Design/114
Appendix to Chapter 6/118
References/119
7 ROBUST-OPTIMAL FUZZY CONTROL 121
7.1 Robust-Optimal Fuzzy Control Problem /121
7.2 Design Example: TORA/125
References/130
8 TRAJECTORY CONTROL OF A VEHICLE WITH MULTIPLE
TRAILERS 133
8.1 Fuzzy Modeling of a Vehicle with Triple-Trailers/134
8.1.1 Avoidance of Jack-Knife Utilizing Constraint on Output/142
8.2 Simulation Results/144
8.3 Experimental Study/147
8.4 Control of Ten-Trailer Case r 150
References/151
9 FUZZY MODELING AND CONTROL OF CHAOTIC SYSTEMS 153
9.1 Fuzzy Modeling of Chaotic Systems/154
9.2 Stabilization/159
9.2.1 Stabilization via Parallel Distributed Compensation /159
9.2.2 Cancellation Technique/165
9.3 Synchronization/170
9.3.1 Case 1 /170
9.3.2 Case 2 /179
9.4 Chaotic Model Following Control/182
References/192
10 FUZZY DESCRIPTOR SYSTEMS AND CONTROL 195
10.1 Fuzzy Descriptor System/196
10.2 Stability Conditions/197
10.3 Relaxed Stability Conditions/206
10.4 Why Fuzzy Descriptor Systems?/211
References/215
viii CONTENTS
11 NONLINEAR MODEL FOLLOWING CONTROL 217
11.1 Introduction/217
11.2 Design Concept/218
11.2.1 Reference Fuzzy Descriptor System/218
11.2.2 Twin-Parallel Distributed Compensations/219
11.2.3 The Common B Matrix Case/223
11.3 Design Examples/224
References/228
12 NEW STABILITY CONDITIONS AND DYNAMIC
FEEDBACK DESIGNS 229
12.1 Quadratic Stabilizability Using State Feedback PDC/230
12.2 Dynamic Feedback Controllers/232
12.2.1 Cubic Parametrization/236
12.2.2 Quadratic Parameterization/243
12.2.3 Linear Parameterization/247
12.3 Example/253
Bibliography/256
13 MULTIOBJECTIVE CONTROL VIA DYNAMIC PARALLEL
DISTRIBUTED COMPENSATION 259
13.1 Performance-Oriented Controller Synthesis/260
13.1.1 Starting from Design Specifications/260
13.1.2 Performance-Oriented Controller Synthesis/264
13.2 Example/271
Bibliography/274
14 T-S FUZZY MODEL AS UNIVERSAL APPROXIMATOR 277
14.1 Approximation of Nonlinear Functions Using Linear T-S
Systems/278
14.1.1 Linear T-S Fuzzy Systems/278
14.1.2 Construction Procedure of T-S Fuzzy Systems/279
14.1.3 Analysis of Approximation/281
14.1.4 Example/286
CONTENTS ix
14.2 Applications to Modeling and Control of Nonlinear
Systems/287
14.2.1 Approximation of Nonlinear Dynamic Systems
Using Linear Takagi-Sugeno Fuzzy Models/287
14.2.2 Approximation of Nonlinear State Feedback
Controller Using PDC Controller/288
Bibliography/289
15 FUZZY CONTROL OF NONLINEAR TIME-DELAY SYSTEMS 291
15.1 T-S Fuzzy Model with Delays and Stability Conditions/292
15.1.1 T-S Fuzzy Model with Delays/292
15.1.2 Stability Analysis via Lyapunov Approach/294
15.1.3 Parallel Distributed Compensation Control/295
15.2 Stability of the Closed-Loop Systems/296
15.3 State Feedback Stabilization Design via LMIs/297
15.4 H Control/299
15.6 Design Example/300
网友评论
- 模糊控制的经典教材,值得一读。
- 模糊控制的好书,T-S
- 蛮经典的一本入门书,师兄推荐给我的,这个假期有得看了!
- 详细讲述了T-S模糊模型的理论,非常有用
- 模糊控制理论的经典教材
- 非常经典的教材
- 非常经典的教材,深入浅出,易于理解,是模糊控制的必备经典
- 主要针对应用T-S模糊模型来设计非线性系统的控制器,对于各种类型的非线性系统都进行了分析,并给出了相应的控制器设计方法,理论证明也很详细,易于理解。