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 Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/28593

 Title: On the geometric and dynamic structures of the H2 optimal and H∞ central controllers Authors: Po-Feng Wua;Chee-Fai Yung Contributors: NTOU:Department of Electrical Engineering國立臺灣海洋大學:電機工程學系 Keywords: H2 control problem;H∞ control problem;Observer-based controller;Geometric control theory;Reduced-order controller Date: 2010-11 Issue Date: 2011-10-21T02:38:21Z Publisher: Automatica Abstract: Abstract:In this paper, the geometric structure of observer-based controllers is investigated in order to characterize the controllable and unobservable subspaces of the ${\mathcal H}_2$ optimal and the ${\mathcal H}_\infty$ central controllers. It is shown that the controllable and unobservable subspaces of the ${\mathcal H}_2$ optimal and the ${\mathcal H}_\infty$ central controllers can be characterized by the kernel and image subspaces of the solutions of two Lyapunov equations. Under this characterization, the connection between the geometric subspaces and the dynamic behavior of the plant and those of the ${\mathcal H}_2$ optimal and ${\mathcal H}_\infty$ controllers is derived. It is also shown that the ${\mathcal H}_2$ optimal and the ${\mathcal H}_\infty$ central controllers inherit a certain part of the given plant dynamics in the geometric sense. A numerical example is also given for illustration. Relation: 46(11), pp.1824-1828 URI: http://ntour.ntou.edu.tw/handle/987654321/28593 Appears in Collections: [電機工程學系] 期刊論文

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