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Orthogonal basis selection method for robust partial eigenvalue assignment problem in second-order control systems
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DOI：10.1016/j.jsv.2008.03.002.png)
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Abstract
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In this paper, we study the robust partial eigenvalue assignment problem using state feedback control in second-order control systems, which means that the feedback control matrices not only assign specific eigenvalues to the second-order closed-loop system, but also that the system is robust, or insensitive to perturbations in the coefficient matrices. Some measures of robustness of the closed-loop system are discussed and a numerical method is proposed such that it aims to minimize one measure of the conditioning of the closed-loop system. Numerical examples show that the method is convergent, and often leads to better conditioned closed-loop system. (c) 2008 Elsevier Ltd. All rights reserved.
Keywords:
POLE ASSIGNMENT
EIGENSTRUCTURE ASSIGNMENT
QUADRATIC PENCIL
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