Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-05-01

Journal: OPTIMAL CONTROL APPLICATIONS & METHODS

Included Journals: EI、SCIE、Scopus

Volume: 32

Issue: 3

Page Number: 285-297

ISSN: 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.