DocumentCode :
1487438
Title :
Stochastic reliable control of a class of uncertain time-delay systems with unknown nonlinearities
Author :
Wang, Zidong ; Huang, Biao ; Burnbam, K.J.
Volume :
48
Issue :
5
fYear :
2001
fDate :
5/1/2001 12:00:00 AM
Firstpage :
646
Lastpage :
650
Abstract :
This paper investigates the robust reliable control problem for a class of nonlinear time-delay stochastic systems. The system under study involves stochastics, state time-delay, parameter uncertainties, possible actuator failures and unknown nonlinear disturbances, which are often encountered in practice and the sources of instability. Our attention is focused on the design of linear state feedback memoryless controllers such that, for all admissible uncertainties as well as actuator failures occurring among a prespecified subset of actuators, the plant remains stochastically exponentially stable in mean square, independent of the time delay. Sufficient conditions are proposed to guarantee the desired robust reliable exponential stability despite possible actuator failures, which are in terms of the solutions to algebraic Riccati inequalities. An illustrative example is exploited to demonstrate the applicability of the proposed design approach
Keywords :
control nonlinearities; delay systems; memoryless systems; stochastic systems; uncertain systems; actuator failures; algebraic Riccati inequalities; linear state feedback memoryless controllers; parameter uncertainties; state time-delay; stochastic reliable control; time delay; uncertain time-delay systems; unknown nonlinearities; Control systems; Hydraulic actuators; Linear feedback control systems; Nonlinear control systems; Robust control; Robust stability; State feedback; Stochastic processes; Stochastic systems; Uncertain systems;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7122
Type :
jour
DOI :
10.1109/81.922470
Filename :
922470
Link To Document :
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