區域型T-S模糊時延時變系統之控制器與觀察器設計

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姓名

柯漢雄(Han-Syong Ke) 查詢紙本館藏

畢業系所

電機工程學系

論文名稱

區域型T-S模糊時延時變系統之控制器與觀察器設計
(Design of Controller and Observer for Region-Based T-S Fuzzy Systems with Time Varying Delay)

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摘要(中)

本篇論文旨在探討區域型Takagi-Sugeno(T-S)模糊系統發生時延時變的情況下之控制器與觀察器設計及其穩定度分析，主要藉由模糊區域觀念來改善傳統的平行分佈補償(PDC)的設計方法，進而降低系統穩定度的保守性。首先，討論模糊區域觀念在T-S模糊時延系統的理論分析及模糊區域控制器設計。其次，進一步延伸討論分段Lyapunov穩定準則運用於區域型T-S模糊時延時變系統的穩定度分析。然後，探討模糊區域觀念運用於T-S模糊時延時變系統之觀察器設計及其穩定度分析。最後，舉一些數值模擬証實本方法之可行性。

摘要(英)

This thesis proposes the design of controller and observer for region-based T-S fuzzy system with time varying delay, and a fuzzy region concept is used to improve the design of PDC for fuzzy controllers, and thereby reduce the stability’s conservatism of the region-based T-S fuzzy system with time varying delay. First, the theoretical analysis of region concept and the design of region-based fuzzy controller for region-based T-S fuzzy systems with time delay are discussed. Second, the stability analysis of region-based T-S fuzzy system with time varying delay is further discussed by piecewise Lyapunov stable criterion. Then, use region concept to design observer and discuss its stability. Finally, some numerical simulations are given to demonstrate the feasibility of the method.

關鍵字(中)

★ 時延時變
★ 區域型T-S模糊系統
★ 觀察器

關鍵字(英)

★ Region-based T-S fuzzy system
★ time varying delay
★ observer

論文目次

目錄
頁次
中文摘要 …………………………………………………………… i英文摘要 …………………………………………………………… ii誌謝 …………………………………………………………… iii目錄 …………………………………………………………… iv圖目錄 …………………………………………………………… vi表目錄 …………………………………………………………… vii
一、序論……………………………………………………… 1
1-1 研究背景………………………………………………… 1
1-2 研究動機與方法………………………………………… 2
1-3 論文架構………………………………………………… 3
二、 T-S模糊時延系統與問題描述………………………… 4
2-1 T-S模糊時延系統……………………………………… 4
2-2 平行分佈補償(PDC)觀念運用於模糊控制器設計…… 6
2-3 閉迴路T-S模糊時延控制系統及其穩定度分析……… 7
2-3-1 閉迴路T-S模糊時延控制系統………………………… 7
2-3-2 穩定度分析……………………………………………… 7
2-4 問題描述………………………………………………… 9
三、區域型T-S模糊時延系統……………………………… 11
3-1 區域型T-S模糊時延系統……………………………… 11
3-2 T-S模糊區域控制器…………………………………… 14
3-3 閉迴路區域型T-S模糊時延系統及其穩定度分析…… 15
3-3-1 閉迴路區域型T-S模糊時延系統……………………… 15
3-3-2 穩定度分析……………………………………………… 16
3-4 數值例子………………………………………………… 19
四、區域型T-S模糊時延時變系統及其穩定條件放寬…… 26
4-1 區域型T-S模糊時延時變系統………………………… 26
4-2 分段Lyapunov穩定準則……………………………… 28
五、區域型T-S模糊時延時變系統之觀察器設計………… 34
5-1 區域觀念運用於觀察器設計…………………………… 34
5-1-1 區域觀察器設計………………………………………… 34
5-1-2 穩定度分析……………………………………………… 36
5-2 數值例子………………………………………………… 38
六、結論與未來展望………………………………………… 46
參考文獻 …………………………………………………………… 47

參考文獻

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指導教授

鍾鴻源(Hung-Yuan Chung)

審核日期

2011-7-18

推文