臺灣博碩士論文加值系統

本論文針對T-S模糊控制系統，提出狀態回授及觀測器輸出回授之設計方法，保證系統達到預定的H2控制成效。本論文採用Lyapunov function穩定度觀念，配合LMI技術，引進三指標組合方法，提出比現有文獻更加寬鬆之設計條件，在系統不含不確定量的情況之下，本文也提出一個步驟完成模糊觀測器設計的方法（目前文獻上針對類似問題皆採用兩步驟才能完成），所有的條件以LMI型式表示，方便求解運算及程式撰寫。

This thesis deals with H2 guaranteed cost fuzzy control problems for continuous
-time T-S fuzzy systems. Both state feedback cases and observer-based output feedback cases are investigated. Sufficient conditions for the existence of fuzzy controllers ensuring H2 guaranteed cost fuzzy controllers are given in terms of linear matrix inequalities (LMIs). In comparison with existing conditions, the proposed ones are more relaxed and thus may obtain a better H2 cost for performance control. When the system does not contain uncertainties, unlike existing literature using the two-step procedure, a one-step approach is proposed for the design of H2 guaranteed cost fuzzy controllers.

摘 要 I
Abstract II
致 謝 III
目 錄 IV
圖目錄 V
符號說明 VI
一、緒 論 1
1-1 文獻回顧與研究動機 1
1-2 論文綱要 2
二、問題描述與輔助定理之介紹 3
三、H2成效保證模糊狀態回授控制器設計 7
3-1狀態回授控制器設計 7
3-2數值模擬 11
四、H2成效保證模糊觀測控制器設計 17
4-1不含未確定項模糊系統之H2保證成本觀測器設計 17
4-2含有未確定項之H2保證成本模糊觀測器設計 26
4-3數值模擬 31
五、結論 38
參考文獻 39

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