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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/11143

Title: H∞ 控制器降階與熵最小化問題之研究
On Controller Reduction and Entropy Minimization in H Infinity Control
Authors: 容志輝
Contributors: 國立臺灣海洋大學:電機工程學系
Keywords: H∞ Control;Controller Reduction;Entropy Minimization;Geometric Control Theory
Date: 2002
Issue Date: 2011-06-28T08:08:30Z
Abstract: This report is concerned with the problem of finding an output feedback controller with a possibly minimum order for a given (generalized) plant, that satisfies a prespecified closed-loop H∞-norm bound with internal stability and, at the same time, minimizes an entropy integral (at infinity) overbounding the closed-loop linear quadratic Gaussian (LQG) cost. It is proven that the rth order H∞ controller obtained by the author in (Yung, 2000) is one solution to the problem. Taking a geometric approach, the problem is solved by the exploitation of invariant subspaces of Hamiltonian matrices and their connection with the (anti)-stabilizing solutions associated with the standard algebraic Riccati equations developed in Petersen et al., (1991) and Doyle et al., (1989). All proofs given will be simple and clear, and provide deeper insight into the synthesis of H∞ controllers.
URI: http://ntour.ntou.edu.tw/ir/handle/987654321/11143
Appears in Collections:[電機工程學系] 研究計畫

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