PARAMETRIC MULTIPLE EIGENVALUE SHIFTING WITH MINIMUM EIGEN-VALUE SENSITIVITY VIA STATE-FEEDBACK BASED ON BLOCK SCHUR FORM

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Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/29425

Title:	PARAMETRIC MULTIPLE EIGENVALUE SHIFTING WITH MINIMUM EIGEN-VALUE SENSITIVITY VIA STATE-FEEDBACK BASED ON BLOCK SCHUR FORM
Authors:	LIN,JJ;WU,YC
Contributors:	電機工程研究所
Keywords:	EIGENSTRUCTURE ASSIGNMENT;POLE ASSIGNMENT
Date:	1994
Issue Date:	2010-06-29 20:24:28 (UTC+8)
Publisher:	中央大學
Abstract:	Based on the block Schur form of an open-loop system matrix, a new sequential design procedure is proposed for characterizing an explicit parametric class of linear state-feedback controllers for the open-loop system, which will shift an arbitrary prescribed spectrum of distinct self-conjugate multiple eigenvalues to the closed-loop system. We also consider the problem of minimizing the sensitivity of the shifted closed-loop multiple eigenvalues with respect to parameter variations in all elements of the closed-loop plant matrix. An insightful parameterization of the desirable closed-loop multiple eigenvalue sensitivity is provided through the explicit parametric class of linear state-feedback controllers. Based on this parameterization, a least square method for designing a state-feedback gain matrix which shifts a desirable set of distinct closed-loop multiple eigenvalues, such that these multiple eigenvalues have minimum sensitivity to perturbation in the closed-loop plant matrix, is presented. A numerical example is worked out to illustrate the design procedures.
Relation:	CONTROL-THEORY AND ADVANCED TECHNOLOGY
Appears in Collections:	[Graduate Institute of Electrical Engineering] journal & Dissertation

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