臺灣博碩士論文加值系統

本論文針對連續及離散T-S 模糊系統，利用多重李雅普諾夫函數法，並引進三指標組合技術設計狀態回授控制器，建立更寬鬆的二次可穩定化條件，所有的結果以線性矩陣不等式型式表示。由於連續與離散系統使用的李雅普諾夫函數型式不同，因此本論文使用不同的狀態回授控制器之型式對應推導。尤其是連續系統的控制器型式，比現有文獻更簡單且易於實現。最後，於每章最後一節附上一些數值模擬的例題，驗證本論文方法實際應用的可行性。

This thesis proposes a more relaxed stabilization condition and then designs a state feedback controller via the multiple Lyapunov function approach for continuous time and discrete time T-S fuzzy systems. All the results are represented in the form of linear matrix inequalities (LMIs). Due to the different types of Lyapunov functions for continuous-time and discrete-time systems, the forms of state feedback controllers for both systems are also different. Particularly, for continuous-time cases, the form of the proposed controller is much simpler and more realizable. At the end of Chapter 3 and Chapter 4, some practical examples are given to illustrate the proposed ideas.

摘 要 i
Abstract ii
致 謝 iii
List of Figures v
Nomenclature vi
Chapter 1 Introduction 1
1-1 Motivation and Overview 1
1-2 Organization of the Thesis 3
Chapter 2 Problem Formulation and Preliminaries 4
2-1 The T-S Fuzzy System 4
2-2 Control Objectives 6
2-3 Preliminary Lemmas 6
Chapter 3 Stabilization of Continuous-Time T-S Fuzzy Systems 9
3-1 Stabilization of Continuous-Time T-S Fuzzy Systems 9
3-2 Comparison of Relaxation for Stabilization Conditions 17
3-3 A Numerical Example 18
Chapter 4 Stabilization of Discrete-Time T-S Fuzzy Systems 22
4-1 Stabilization of Discrete-Time T-S Fuzzy Systems 22
4-2 Comparison of Relaxation for Stabilization Conditions 35
4-3 Numerical Examples 40
Chapter 5 Conclusions 48
References 50

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