Analysis and Synthesis of Fuzzy Control Systems: A Model-Based Approach (Hardcover)

Chapter 1. Introduction to Fuzzy Logic Control
1.1 Introduction
1.2 Brief Review of Fuzzy Logic Control
1.2.1 Conventional Fuzzy Control (Mamdani-Type Fuzzy Control)
1.2.2 Fuzzy PID Control
1.2.3 Neuro?Fuzzy Control or Fuzzy?Neuro Control
1.2.4 Fuzzy Sliding Mode Control
1.2.5 Adaptive Fuzzy Control
1.2.6 Takagi?Sugeno Model-Based Fuzzy Control
1.3 Summary
Chapter 2. Fuzzy Sets and Fuzzy Systems
2.1 Introduction
2.2 Fuzzy Sets and Related Concepts
2.3 Fuzzy Relations and Fuzzy IF?THEN Rules
2.4 Fuzzy Reasoning
2.5 Fuzzy Models and Fuzzy Systems
2.5.1 Mamdani Fuzzy Systems
2.5.2 Takagi?Sugeno Fuzzy Systems
2.5.3 Fuzzy Dynamic Systems
2.6 Conclusions
Chapter 3. T?S Fuzzy Modeling and Identification
3.1 Introduction
3.2 T?S Fuzzy Models
3.3 Universal Function Approximators
3.4 T?S Fuzzy Model Identification from Nonlinear Models
3.5 T?S Fuzzy Model Identification from Data
3.5.1 Identification of Membership Functions
3.5.2 Identification of Local Models
3.6 Approximation Error Analysis
3.7 Conclusions
Chapter 4. Stability Analysis of T?S Fuzzy Systems
4.1 Introduction
4.2 Stability Analysis Based on Common Quadratic Lyapunov Functions
4.3 Stability Analysis Based on Piecewise Quadratic Lyapunov Functions
4.4 Stability Analysis Based on Fuzzy Quadratic Lyapunov Functions
4.5 Stability Analysis of T?S Fuzzy Affine Systems Based on Piecewise Quadratic Lyapunov Functions
4.6 Comparison of Stability Results via Numerical Examples
4.7 Conclusions
Chapter 5. Stabilization Controller Synthesis of T?S Fuzzy Systems
5.1 Introduction
5.2 Stabilization Based on Common Quadratic Lyapunov Functions
5.3 Stabilization Based on Piecewise Quadratic Lyapunov Functions
5.4 Stabilization Based on Fuzzy Quadratic Lyapunov Functions
5.5 Comparison of Stabilization Results via Numerical Examples
5.6 Conclusions
Chapter 6. Robust H∞ Controller Synthesis of T?S Fuzzy Systems
6.1 Introduction
6.2 Robust H∞ Control Based on Common Quadratic Lyapunov Functions
6.3 Robust H∞ Control Based on Piecewise Quadratic Lyapunov Functions
6.4 Robust H∞ Control Based on Fuzzy Quadratic Lyapunov Functions
6.5 Comparison of Robust H∞ Control Results via Numerical Examples
6.6 Conclusions
Chapter 7. Observer and Output Feedback Controller Synthesis of T?S Fuzzy Systems
7.1 Introduction
7.2 Observer and Output Feedback Controller Synthesis Based on Common Quadratic Lyapunov Functions
7.3 Observer and Output Feedback Controller Synthesis Based on Piecewise Quadratic Lyapunov Functions
7.4 Observer and Output Feedback Controller Synthesis Based on Fuzzy Quadratic Lyapunov Functions
7.5 Comparison of Observer Design Results via Numerical Examples
7.6 Conclusions
Chapter 8. Robust Controller Synthesis of Uncertain T?S Fuzzy Systems
8.1 Introduction
8.2 Model of Uncertain T?S Fuzzy Systems
8.3 Controller Synthesis Based on Piecewise Quadratic Lyapunov Functions
8.3.1 Robust H∞ Performance Analysis
8.3.2 Piecewise State Feedback Controller Design
8.3.3 Piecewise Output Feedback Controller Design
8.4 Controller Synthesis Based on Fuzzy Quadratic Lyapunov Functions
8.4.1 Robust H∞ Performance Analysis
8.4.2 State Feedback Controller Design
8.4.3 Output Feedback Controller Design
8.5 An Example
8.6 Conclusions
Chapter 9. Controller Synthesis of T?S Fuzzy Systems with Time-Delay
9.1 Introduction
9.2 Model of T?S Fuzzy Systems with Time-Delay
9.3 Controller Synthesis Based on Piecewise Quadratic Lyapunov Functionals
9.3.1 Delay-Independent H∞ Controller Design
9.3.2 Delay-Dependent H∞ Controller Design
9.4 Controller Synthesis Based on Fuzzy Quadratic Lyapunov Functionals
9.4.1 Delay-Independent H∞ Controller Design
9.4.2 Delay-Dependent H∞ Controller Design
9.5 An Example
9.6 Conclusions
Chapter 10. Fuzzy Model Predictive Control
10.1 Introduction
10.2 Problem Formulation
10.3 Fuzzy Model Predictive Control Approaches
10.3.1 Fuzzy Min?Max MPC Based on Common Quadratic Lyapunov Functions
10.3.2 Fuzzy Min?Max MPC Based on Piecewise Quadratic Lyapunov Functions
10.3.3 Constrained Fuzzy MPC
10.4 Simulation Examples
10.5 Conclusions
Chapter 11. Robust Filtering of T?S Fuzzy Systems
11.1 Introduction
11.2 Problem Formulation
11.3 Filter Design Based on Common Quadratic Lyapunov Functions
11.3.1 H∞ Filter Design
11.3.2 Generalized H2 Filter Design
11.4 Filter Design Based on Piecewise Quadratic Lyapunov Functions
11.4.1 H∞ Filter Design
11.4.2 Generalized H2 Filter Design
11.5 Filter Design Based on Fuzzy Quadratic Lyapunov Functions
11.5.1 H∞ Filter Design
11.5.2 Generalized H2 Filter Design
11.6 Simulation Examples
11.7 Conclusions
Chapter 12. Adaptive Control of T?S Fuzzy Systems
12.1 Introduction
12.2 Problem Formulation
12.3 Adaptive Control System Design
12.3.1 Adaptation Algorithm
12.3.2 Controller Design with Known Parameters
12.3.3 Adaptive Control System Design
12.3.4 Robust Adaptive Control
12.4 A Simulation Example
12.5 Conclusions
Appendix Several Useful Lemmas
References
Index