封面
摘要
第一章緒論
第二章相關數學基礎
第三章精確模式與多目標控制於混沌系統之應用
第四章以LMI為基礎之近似模糊模式與控制
第五章以LMI為基礎非線性系統控制
第六章結論與未來展望
誌謝
1. Introductory chapter
1.1 Background
1.2 Literature Review
1.3 Motivation
1.4 Purpose and Contribution
1.5 Organization of the Dissertation
2. Mathematical Preliminaries
2.1 Introduction
2.2 T-S Fuzzy Modeling
2.3 Parallel Distributed Conpensation and Basic Stability Analysis
2.4 Fuzzy Observer Design
2.5 Formulation of Linear Matrix Inequalities
2.6 Some Notes on Feasibility
2.7 Summary
3. Exact Modeling and Multiobjective Control-Application on Chaotic Systems
3.1 Introduction
3.2 Exact Modeling and Multiobjective Control
3.3 Output Feedback Tracking Control
3.4 Some Cases of Exponential Tracking
3.5 Numerical Simulations and Experiment
3.6 Summary
4. Fuzzy Modeling and Approximate Fuzzy Control
4.1 Introduction
4.2 LMIs and Kharitonov''s Theorem
4.3 Basic Rule of Fuzzy Modeling
4.4 Extension to Higher Order Systems
4.5 Approximate Control
4.6 Summary
5. LMI-based Control for Nonlinear Systems
5.1 Introduction
5.2 Modeling
5.3 Dynamic Observer and Output Feedback Control
5.4 Robust Output Tracking/Regulation
5.5 Summary
6. Conclusions and Future Perspectives
Bibliography
Appendices

[1] Takagi, T. and Sugeno, M., [1985] "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern. vol. 15, no. 1, pp. 116-132.[2] Tanaka, K., and Sugeno, M., [1992] "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst. no. 45, pp. 135-156.[3] Tanaka, K., Ikeda, T. and Wang, H. O., [1998] "A unified approach to controlling chaos via an LMI-based fuzzy control system design," IEEE Trans. Circuits Syst. I, vol. 45, no. 10, pp. 1021-1040.[4] Tanaka, K., Ikeda, T. and Wang, H. O.,[1998] "Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs," IEEE Trans. Fuzzy Syst. vol. 6, no. 2, pp. 250-265.[5] Tanaka, K., and Wang, H. O., [2001], Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach}, John Wiley and Sons, Canada.[6] Tseng, C.-S., Chen, B.-S., and Uang, H.-J., [2001] "Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model," IEEE Trans. Fuzzy Syst., vol. 9, pp.381-392.