Title: Non-fragile guaranteed cost control for a class of non-linear uncertain systems

Authors: Jiqing Qiu, Yuming Guo, Mifeng Ren, Yanjun Wang

Addresses: Science of College, Hebei University of Science and Technology, Shijiazhuang Hebei 050018, China. ' Science of College, Hebei University of Science and Technology, Shijiazhuang Hebei 050018, China. ' Science of College, Hebei University of Science and Technology, Shijiazhuang Hebei 050018, China. ' Science of College, Hebei University of Science and Technology, Shijiazhuang Hebei 050018, China

Abstract: This paper considers the problem of designing a non-fragile guaranteed cost controller for a class of non-linear uncertain systems with time-varying delays and controller gain perturbations. Based on the Lyapunov stability theory and the linear matrix inequality (LMI) approach, a sufficient condition to get a guaranteed cost controller is given, which results in the closed-loop system being asymptotically stable and the system|s cost function value being less than a determinate upper bound. Finally, a numerical example and simulation diagram are provided to illustrate the design developed in this paper.

Keywords: uncertain systems; time-varying delay; linear matrix inequalities; LMIs; non-fragile guaranteed cost control; nonlinear systems; controller gain perturbations.

DOI: 10.1504/IJMIC.2011.041311

International Journal of Modelling, Identification and Control, 2011 Vol.13 No.3, pp.214 - 220

Published online: 21 Mar 2015 *

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