不確定性互聯系統之穩定性分析與控制器設計 張智凱、蔡耀文
E-mail: [email protected]
摘 要
針對可變結構控制的應用，我們提出一個以可變結構控制為 基礎的模糊控制器，藉著加入平滑參數來降低系統的顫動現象
。 平滑參數所產生的影響將會在文中被分析。 另一方面，本篇論文對非匹配不確定可變結構大型系統，進 行穩定性的研 究。這種分析和設計被應用在具有非匹配不確定藕 合項的系統中。我們設計出的控制器不但可以消除顫動現象而且 滿足 到達條件。此外，我們另設計一種可變結構控制器能使系統 達到指數穩定。根據Barbalat 引理，這些控制器會迫使系統軌 跡 進入順滑平面上。 在論文中，我們不只將輸出回授可變結構控制器應用在非匹 配大型系統，更進一步推導出新的分散 式輸出回授可變結構控制 器，能保證系統能於有限時間進入滑動模式，系統的回授控制只 用到輸出變數而且不需要估測 器。
關鍵詞 : 可變結構控制，顫動現象，指數穩定，輸出回授 目錄
COVER AUTHORIZATION LETTERS...iii ABSTRACT (CHINESE) ...v ABSTRACT (ENGLISH) ...vi
ACKNOWLEDGMENT... vii TABLE OF CONTENTS...viii LIST OF FIGURES... x LIST OF TABLES... xi
ABBREVIATIONS AND SYMBOLS... xii Chapter I INTRODUTION 1.1
Motivation... 1 1.2 Literature Review... 5 1.3 Organization of This Thesis... 7 Chapter II DESIGN A NEW VSC BASED FUZZY CONTROLLER 2.1 Description of the System...9 2.2 Smoothing of Control Law... 10 2.3 Building the Fuzzy Control...13 Chapter III EXPONENTIAL STABILIZATION OF MISMATCHED UNCERTAIN INTERCONNECTED VARIABLE STRUCTURE SYSTEMS 3.1 Mismatched Uncertain Decentralized Systems Model
Definition... 18 3.2 Decentralized Variable Structure Controller Design... 19 3.3 Decentralized Controller Design with Exponential Stable... 23 3.4 Simulating the Large-Scale Systems... 26 Chapter IV NEWLY
DECENTRALIZED OUTPUT FEEDBACK SLIDING MODE CONTROL FOR MISMATCHED UNCERTAIN INTERCONNECTED SYSTEMS 4.1 Review of Output Feedback Sliding Mode Control in Matched Uncertain
Systems... 32 4.2 Mismatched Uncertain Decentralized Systems Mode Definition... 33 4.3 Stability in the Sliding Mode... 35 4.4 Decentralized Output Feedback Sliding Mode Controller Design...
38 Chapter V CONCLUTIONS... 47 REFERENCE...48
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