H∞模糊系統控制-寬鬆變數法; H∞ satbilition analysis for fuzzy control system

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Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/2793

Title:	H∞模糊系統控制-寬鬆變數法;H∞ satbilition analysis for fuzzy control system
Authors:	鄭丞謨;Cheng-Mo Zheng
Contributors:	機械工程研究所
Keywords:	模糊系統;fuzzy
Date:	2006-06-23
Issue Date:	2009-09-21 11:56:09 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	本篇論文是研究狀態回饋控制以及 H∞ 性能的模糊控制穩定性分析，本論文將分成兩部分來進行討論，第一部份先推導(控制)系統滿足 Lyapunov 穩定的檢測條件。第二部分考慮干擾的影響，推導出使受控系統滿足 H∞ 穩定的檢測條件。對於一個具非線性特徵的 Takagi-Sugeno(T-S) 模糊系統，在新的寬鬆充分條件之下保證其穩定。無論是連續或者離散時間的模糊(控制)系統都是用相似的方法(檢測條件 LMIs)來探討。本篇論文是針對一個前件部相依的 Lyapunov 函數(premise-dependent Lyapunov function)來探討 T-S 模糊系統的穩定條件，而以前的文獻一般都是用單一矩陣 P(common P) 來推導所需的檢測條件。對於穩定與性能分析以及控制器的設計目前都是用 LMI 以及數值分析來處理運算，這些採用前件部相依的 Lyapunov 函數(premise-dependent Lyapunov function) 經數理證明及電腦模擬的結果都比現存文獻採用單一矩陣 P(common P) 的結果寬鬆。 In this paper, sufficient LMI conditions for the H∞ state feedback control synthesis of fuzzy control systems consisting of Takagi-Sugeno fuzzy models are proposed for continuous- and discrete-time fuzzy sys- tem in a unified manner. Based on a premise-dependent Lyapunov func- tion, we release the conservatism that commonly exists in the common P approach. Particularly, the restriction embedded in continuous-time systems on derivative of μ is removed by introducing Lie derivative to the Lyapunov approach. It is shown that the slack variables employed in this paper provide additional feasibility in solving the H∞ stabilization problem of fuzzy control systems. Consequently, the stabilization condi- tions are shown to be more relaxed than others in the existing literature. Numerical simulations appear promising for the proposed method and illuminate the reduction of conservatism clearly.
Appears in Collections:	[Graduate Institute of Mechanical Engineering] Electronic Thesis & Dissertation

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