動態輸出回授控制平方和穩定分析; Dynamic Output Feedback Stability Analysis via SOS

NCUIR > Engineering College > Graduate Institute of Mechanical Engineering > Electronic Thesis & Dissertation > Item 987654321/47666

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/47666

Title:	動態輸出回授控制平方和穩定分析;Dynamic Output Feedback Stability Analysis via SOS
Authors:	廖偉証;Wei-cheng Liao
Contributors:	機械工程研究所
Keywords:	線性矩陣不等式;Takagi-Sugeno 模糊模型;扇形有界非線性項;廣義動態輸出回授控制器;平方和;圓準則;耗散性控制;circle criterion;sum of squares;T-S fuzzy model;generalized dynamic output feedback controller;dissipative control;sectorbounded nonlinearity;Linear matrix inequality
Date:	2011-07-21
Issue Date:	2012-01-05 12:30:40 (UTC+8)
Abstract:	第一部分論述非線性系統轉換成廣義Takagi-Sugeno模糊系統後, 將其結合廣義動態輸出回授控制器, 並在上述架構下與圓定理整合, 求得雙線性矩陣不等式, 再簡化至動態輸出回授控制器, 求得在此系統架構下之二次穩定條件。第二部份說明二次穩定LMI 檢測條件的演化, 從傳統LMI 檢測法到寬鬆矩陣變數和波雅定理的出現, 而重點在如何演進至平方和二次穩定檢測法。第三部份討論圓定理與耗散性控制理論兩者的關聯性。 In this thesis, three topics are addressed. First, we investigate a general control problem via the Circle criterion borrowed from system theory; We show a fuzzy version of Circle criterion and then provide a synthesis result based on the Circle criterion, establishing closed-loop stabilizability for dynamic output feedback controllers and state-feedback controllers. Second, we show how to solve LMI representation numerically by SOSTOOLS. Third, we solve a stabilization problem for systems with sector-bounded nonlinearities at their input. Then, based on dissipative control and Circle criterion, we get the same stabilization conditions for a state feedback stabilizing controller. Finally, we integrate Circle theorem and dissipative control theorem into one unified structure.
Appears in Collections:	[Graduate Institute of Mechanical Engineering] Electronic Thesis & Dissertation

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