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Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment
Author(s) -
Yang Chunlei,
Liu Jianzhou,
Liu Yu
Publication year - 2012
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 - 10.1002/asjc.448
Subject(s) - sylvester equation , sylvester matrix , matrix (chemical analysis) , mathematics , variable (mathematics) , iterative method , generalized inverse , sylvester's law of inertia , moore–penrose pseudoinverse , inverse , control theory (sociology) , mathematical optimization , computer science , algorithm , control (management) , symmetric matrix , artificial intelligence , mathematical analysis , eigenvalues and eigenvectors , physics , materials science , geometry , matrix polynomial , quantum mechanics , polynomial matrix , polynomial , composite material
In this paper, a numerical solution to the problem of eigenstructure assignment for descriptor systems is investigated. To this end, we obtain numerical solutions of the generalized Sylvester matrix equation AV + BW = EVF using an iterative method. Based on the presented solution of this equation, an approach using a generalized inverse matrix for eigenstructure assignment in continuous descriptor system via descriptor variable feedback u = Kx is proposed. Finally, some numerical results show the effectiveness of the proposed approach. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society