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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51439

Title: State-space characterization of all solutions to positive real control problem
Authors: Chee-Fai Yung
Contributors: 國立臺灣海洋大學電機工程學系
Keywords: positive real control
Youla parameterization
Kalman‐Yacubovich‐Popov lemma
state‐space formula
Date: 1999
Issue Date: 2018-11-29T01:37:34Z
Publisher: Journal of the Chinese Institute of Engineers
Abstract: Abstract: The purpose of this paper is to give a state‐space characterization of all internally stabilizing finite‐dimensional linear time‐invariant output feedback controllers for a given finite‐dimensional linear time‐invariant plant which ensure that the resulting closed‐loop transfer function is extended strictly positive real(ESPR). All such controllers are parameterized by a fixed linear fractional transformation with an ESPR, stable free parameter. The parameterized controllers have a state dimension not less than that of the open‐loop plant. The development uses only elementarily algebraic ideas beginning with a change of variables, an extended version of Kalman‐Yacubovich‐Popov positive real lemma, and Youla parameterization, thus the proofs given are simple and clear.
Relation: 22(5) pp.653-659
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51439
Appears in Collections:[電機工程學系] 技術報告

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