模糊隨機系統極點配置及狀態限制之設計

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姓名

羅于豪(Yu-Hau Lou) 查詢紙本館藏

畢業系所

電機工程學系

論文名稱

模糊隨機系統極點配置及狀態限制之設計
(Fuzzy Control of Stochastic Systems with Pole Placement and Variance Constraints)

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摘要(中)

模糊系統在近年來受到廣泛的討論，本論文中，主要是針對連續模糊隨機系統做分析與研究，在系統中結合協方差控制理論及極點限制進行狀態變數限制及閉迴路極點配置的處理，且為了更滿足系統的實用性，我們加入考慮參數不確定性，並經由線性矩陣不等式(LMI)進行參數不確定性的處理，最後我們提供了一個設計滿足上述情況的控制器的方法。
由於控制器設計並非唯一，最後我們以控制力為考慮要素，提供一個方法進行最小控制力之控制器設計，再者，我們將利用幾個例子來說明本篇論文的有效性。

摘要(英)

This thesis concerns the design problem of fuzzy controllers which guarantee the closed-loop poles within a specified disc and steady-state variance to be less than a set of given upper bounds for continuous T-S fuzzy stochastic systems with parameter uncertainties. Using the linear matrix inequality (LMI) approach, the existence conditions of such T-S fuzzy controllers are derived, but the T-S fuzzy controllers are not unique. A solution to the minimum-effect guaranteed-performance design problem is presented in the sense that the required control effort is minimized subject to performance constraints.

關鍵字(中)

★ 極點配置
★ 協方差
★ 模糊系統

關鍵字(英)

★ pole placement
★ covariance
★ Fuzzy systems

論文目次

摘要……………………………………………………………………Ⅰ
致謝辭…………………………………………………………………Ⅱ
目錄……………………………………………………………………Ⅲ
第一章緒論……………………………………………………………1
第二章連續模糊隨機系統滿足極點及狀態變數限制經由線性矩陣不
等式之控制器設計……………………………………………2
第三章連續模糊隨機系統滿足極點及狀態變數限制之強健性分析及
經由線性矩陣不等式之控制器設計…………………………3
第四章最小控制力之控制器設計……………………………………4
第五章結論……………………………………………………………5
Contents……………………………………………………………Ⅱ
List of Figures……………………………………………………………Ⅳ
List of Tables……………………………………………………………Ⅵ
CHAPTER 1 Introduction……………………………………………………………1
1.1 Background and the Motivation……………………………………………1
1.2 Review of Previous Works………………………………………………3
1.3 Organization of this thesis ……………………………………………4
CHAPTER 2 Design Controllers for Continuous T-S Fuzzy
Stochastic Systems with Pole Placement and
Variance Constraints……………………………………………………………6
2.1 Introduction……………………………………………………………6
2.2 Continuous T-S Fuzzy Stochastic Systems and Its Stability Conditions ……………………………………………………………6
2.3 System Analysis and Design of Controller…………………………8
2.4 An Illustrated Example ……………………………………………………………12
2.5 Conclusions……………………………………………………………17
CHAPTER 3 Analysis and Design Continuous Robust T-S Fuzzy
Stochastic Systems with Pole Placement and Variance Constraints……………18
3.1 Introduction……………………………………………………………18
3.2 Stability Conditions for Continuous Robust T-S Fuzzy
Stochastic Systems……………………………………………………………18
3.3 PDC Fuzzy Controller Design.................................................... 21
3.4 Design of Fuzzy Controller Gain ............................................... 25
3.5 An Illustrated Example............................................................... 28
3.6 Conclusions ................................................................................ 32
CHAPTER 4 Design of the Minimum-effort Variance
Controller..................................................................... 33
4.1 Introduction................................................................................ 33
4.2 The Minimum-effort Variance Control...................................... 33
4.3 Design of the Minimum Energy Controllers ............................. 34
4.4 An Illustrated Example .............................................................. 35
4.5 Conclusions................................................................................ 40
CHAPTER 5 Conclusions ................................................................. 41
References.............................................................................................. 42
Publication ............................................................................................. 46

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指導教授

莊堯棠(Yau-Tarng Juang)

審核日期

2006-5-25

推文