標題: PARAMETRIC MULTIPLE EIGENVALUE SHIFTING WITH MINIMUM EIGEN-VALUE SENSITIVITY VIA STATE-FEEDBACK BASED ON BLOCK SCHUR FORM
作者: LIN, JJ
WU, YC
電控工程研究所
Institute of Electrical and Control Engineering
關鍵字: BLOCK SCHUR FORM;PARAMETRIC STATE FEEDBACK CONTROLLER DESIGN;SPECTRUM-INVARIANT FREE DESIGN PARAMETERS
公開日期: 1-九月-1994
摘要: 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.
URI: http://hdl.handle.net/11536/2343
ISSN: 0911-0704
期刊: CONTROL-THEORY AND ADVANCED TECHNOLOGY
Volume: 10
Issue: 3
起始頁: 347
結束頁: 364
顯示於類別:期刊論文