Title :
State feedback control for nonlinear stochastic systems with time-delay
Author :
Biyu, Liu ; Meilan, Li
Author_Institution :
Sch. of Math. Sci. & Comput. Technol., Central South Univ., Changsha
Abstract :
This paper investigates the problem of state feedback control for uncertain nonlinear stochastic systems with time-delay. A state feedback controller is designed so that the closed-loop system is exponentially stable in mean square for all admissible uncertainties. Sufficient conditions are obtained in guarantee that the involved system has robust stabilization in terms of matrix inequalities. A regrouped LMI method is adopted to solve these matrix inequalities. A numerical example is given to illustrate the effectiveness of the given method.
Keywords :
closed loop systems; control system synthesis; delays; linear matrix inequalities; mean square error methods; nonlinear control systems; robust control; stability; state feedback; stochastic systems; LMI method; admissible uncertainties; closed-loop system; exponential stability; matrix inequalities; state feedback controller design; time-delays; uncertain nonlinear stochastic systems; Asymptotic stability; Centralized control; Control systems; Linear matrix inequalities; Nonlinear control systems; Robust stability; State feedback; Stochastic systems; Symmetric matrices; Uncertainty; Exponentially stable in mean square; Linear matrix inequalities; State feedback; Stochastic system;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605030
