DocumentCode :
3165348
Title :
Delay-dependent state-feedback ℌ control for nonlinear stochastic systems with time-varying delays
Author :
Huiping Li ; Yang Shi
Author_Institution :
Dept. of Mech. Eng., Univ. of Victoria, Victoria, BC, Canada
fYear :
2012
fDate :
10-13 Dec. 2012
Firstpage :
4279
Lastpage :
4284
Abstract :
This paper is concerned with the state-feedback H control problem for a class of stochastic nonlinear systems with time-varying state delays, where both the disturbance and the white noise are considered. To synthesize the investigated system, the parameter-dependent storage functional is firstly constructed. By means of completing the square, the delay-dependent controller is designed such that the closed-loop system is exponentially stable in mean square and the prescribed disturbance attenuation level is achieved. Finally, the developed delay-dependent conditions are further specialized to synthesize a type of special delayed nonlinear systems by solving several linear matrix inequalities (LMIs) and a bilinear matrix inequality (BMI).
Keywords :
H control; asymptotic stability; closed loop systems; delays; linear matrix inequalities; nonlinear systems; state feedback; stochastic systems; white noise; BMI; LMI; bilinear matrix inequality; closed-loop system; delay-dependent state-feedback H control problem; disturbance attenuation level; exponential stability; linear matrix inequalities; nonlinear stochastic systems; parameter-dependent storage functional; special delayed nonlinear systems; time-varying state delays; white noise; Attenuation; Delay; Linear matrix inequalities; Nonlinear systems; Stochastic systems; Symmetric matrices; Time varying systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
ISSN :
0743-1546
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
Type :
conf
DOI :
10.1109/CDC.2012.6426127
Filename :
6426127
Link To Document :
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