WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Robust Guaranteed Cost Control of Discrete-Time System with Mixed Time-Varying Delays and Nonlinear Perturbations
Authors: , ,
Abstract: This paper is concerned with the problem of robust static output feedback guaranteed cost control for a class of nonlinear discrete systems with mixed time-varying delays. The proposed controller uses the output measurement to robustly exponentially stabilize the closed-loop system and guarantee an adequate level of system performance. By constructing a set of improved Lyapunov-Krasovskii functionals, novel criteria for the existence of robust output feedback guaranteed cost controller are established in terms of linear matrix inequality (LMI). Two numerical examples are given to illustrate the effectiveness of the proposed methods.
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Keywords: Guaranteed cost control, Mixed time-varying delays, Discrete-time system, Nonlinear perturbations, Lyapunov-Krasovskii functions, Linear matrix inequality
Pages: 873-884
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #85