期刊
LINEAR ALGEBRA AND ITS APPLICATIONS
卷 312, 期 1-3, 页码 161-180出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/S0024-3795(00)00100-2
关键词
discrete-time systems; linear quadratic regulator; uncertainty; gain perturbations; robust control; Riccati equation approach
This paper considers the problem of guaranteed cost control for discrete-time linear systems under state feedback control gain perturbations. Two classes of perturbations are considered, namely, additive and multiplicative. The state feedback control designs for optimal guaranteed cost control under the two classes of gain perturbations are given in terms of solutions to algebraic Riccati equations. The designs are such that the cost of the closed-loop system is guaranteed to be within a certain bound for all admissible uncertainties. Numerical examples are included to illustrate the design procedures. (C) 2000 Elsevier Science Inc. All rights reserved.
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