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研究生: 洪偉祥
Wei-Hsiang Hung
論文名稱: 具有H infinity性能之 T-S 模糊時間
H infinity control for T-S fuzzytime-delay systems
指導教授: 莊堯棠
Yau-Tarng Juang
口試委員:
學位類別: 碩士
Master
系所名稱: 資訊電機學院 - 電機工程學系
Department of Electrical Engineering
畢業學年度: 92
語文別: 英文
論文頁數: 58
中文關鍵詞: T-S模糊模型Lyapunov法線性矩陣不等式非線性系統
外文關鍵詞: Lyapunov stable, LMI, T-S fuzzy model, nonlinear systems
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  • 本文主要是討論非線性之時間延遲系統在加入模糊控制器後之穩定度,以及考慮當系統存在外部干擾時,系統對外部干擾的容忍能力。首先以Takagi 和 Sugeno模糊模型來表示所討論的非線性之時間延遲系統,再來加入模糊控制器,並討論此時系統未加入雜訊時的穩定狀態;接著加入外部雜訊並以 控制理論作為系統對抗雜訊容忍程度的控制,以求得系統的性能指標 。最後將以化學攪拌槽的例子做為本文中所提出方法的模擬驗證。


    This thesis introduces a fuzzy linear control design procedure for the nonlinear time-delay systems with optimal robustness performance. Based on the Takagi–Sugeno (T-S) fuzzy models, a fuzzy state feedback controller is developed to stabilize the nonlinear time delay system by the Lyapunov approach. Besides, the effect of external disturbance on control performance is attenuated to a minimum value. Thus based on the fuzzy linear model, performance design can be achieved in nonlinear control systems. Sufficient conditions for the existence of fuzzy state feedback gain are derived through the numerical solution of a set of linear matrix inequalities. An illustrative example based on the continuous stirred tank reactor (CSTR) model is presented.

    Abstract---------------------------------------------------------------------Ⅰ Content----------------------------------------------------------------------Ⅱ List of Figures--------------------------------------------------------------Ⅳ List of Tables---------------------------------------------------------------Ⅴ Chapter 1 Introduction-------------------------------------------------------1 1-1 Background-------------------------------------------------------1 1-2 Motivation-------------------------------------------------------2 1-3 Organization-----------------------------------------------------3 Chapter 2 System model description-------------------------------------------5 2-1 Introduction-----------------------------------------------------5 2-2 Takagi-Sugeno Fuzzy Model with time delay------------------------5 Chapter 3 PDC controller design----------------------------------------------9 3-1 Introduction-----------------------------------------------------9 3-2 State feedback fuzzy controller design---------------------------9 3-3 Stabilization analysis------------------------------------------11 Chapter 4 H infinity control------------------------------------------------13 4-1 Introduction----------------------------------------------------13 4-2 Control design via fuzzy linear control-----------------------14 Chapter 5 Simulation and Discussion-----------------------------------------20 5-1 A CSTR example--------------------------------------------------20 5-2 Discussion------------------------------------------------------27 Chapter 6 Conclusions-------------------------------------------------------33 6-1 Conclusions-----------------------------------------------------33 References-------------------------------------------------------------------34


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