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Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems

Zhang, Jinhui and Shi, Peng and Qiu, Jiqing (2009) Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems. Journal of the Franklin Institute, 346 (7). pp. 676-690. ISSN 0016-0032

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Abstract

This paper deals with the problem of non-fragile guaranteed cost control for a class of uncertain stochastic nonlinear time-delay systems. The parametric uncertainties are assumed to be time-varying and norm bounded. The time-delay factors are unknown and time-varying with known bounds. The aim of this paper is to design a memoryless non-fragile state feedback control law such that the closed-loop system is stochastically asymptotically stable in the mean square for all admissible parameter uncertainties and the closed-loop cost function value is not more than a specified upper bound. A new sufficient condition for the existence of such controllers is presented based on the linear matrix inequality (LMI) approach. Then, a convex optimization problem is formulated to select the optimal guaranteed cost controller which minimizes the upper bound of the closed-loop cost function. Numerical example is given to illustrate the effectiveness of the developed techniques.

Item Type: Article
Uncontrolled Keywords: ResPubID17500, stochastic systems, time-varying delays, guaranteed cost control, linear matrix inequalities (LMIs0, norm-bounded uncertainty
Subjects: SEO Classification > 970109 Expanding Knowledge in Engineering
Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0199 Other Mathematical Sciences Information Systems
Depositing User: VUIR
Date Deposited: 14 Jun 2011 06:49
Last Modified: 01 May 2012 02:22
URI: http://vuir.vu.edu.au/id/eprint/4728
DOI: 10.1016/j.jfranklin.2009.04.001
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Citations in Scopus: 38 - View on Scopus

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