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Indexed by:期刊论文

Date of Publication:2011-05-01

Journal:OPTIMAL CONTROL APPLICATIONS & METHODS

Included Journals:Scopus、SCIE、EI

Volume:32

Issue:3

Page Number:285-297

ISSN No.:0143-2087

Key Words:stochastic systems; nonlinear systems; uncertain systems; reliable control; actuator failure; time-delay

Abstract:This paper is concerned with the reliable control problem against actuator failures for a class of uncertain discrete-time stochastic nonlinear time-delay systems. The failures of actuators are quantified by a variable varying in a given interval. The stochastic nonlinearities described by statistical means cover several well-studied nonlinear functions as special cases. The time-varying delay is unknown with given lower and upper bounds. The multiplicative stochastic disturbances are in the form of a scalar Gaussian white noise with unit variance. Attention is focused on the analysis and design of a stable controller such that, for all possible actuator failures, stochastic nonlinearities and disturbances, time delays and admissible parameter uncertainties, the closed-loop system is exponentially mean-square stable. A linear matrix inequality approach is developed to solve the addressed problem. A numerical example is given to demonstrate the effectiveness of the proposed design approach. Copyright (C) 2010 John Wiley & Sons, Ltd.