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ROBUST POLE ASSIGNMENT VIA OUTPUT FEEDBACK IN DESCRIPTOR LINEAR SYSTEMS WITH STRUCTURAL PARAMETER PERTURBATIONS
Author(s) -
Duan GuangRen,
Zhang Biao
Publication year - 2007
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2007.tb00324.x
Subject(s) - eigenvalues and eigenvectors , control theory (sociology) , sensitivity (control systems) , parametric statistics , mathematics , matrix (chemical analysis) , linear system , multivariable calculus , output feedback , computer science , mathematical analysis , engineering , statistics , physics , artificial intelligence , materials science , control (management) , quantum mechanics , control engineering , electronic engineering , composite material
The problem of eigenvalue assignment via output feedback with minimum sensitivity in multivariable descriptor linear systems with structural parameter perturbations is considered. Based on an eigenstructure assignment result for descriptor linear systems via output feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representations of the closed‐loop eigenvalue sensitivities to the perturbed elements in the open‐loop system matrices are obtained. An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via output feedback is then proposed. The algorithm does not contain ‘going back’ procedures, and allows the closed‐loop eigenvalues to be conveniently optimized within desired regions. Computational results show its effect and simplicity.