Title :
H∞ guaranteed cost control for a class of discrete-time stochastic systems with sector nonlinearities and mixed time delays
Author :
Hu, Yanmei ; Wang, Yantao ; Zhang, Xian
Author_Institution :
Sch. of Math. Sci., Heilongjiang Univ., Harbin, China
Abstract :
This paper deals with the H∞ guaranteed cost control problem for a class of discrete-time stochastic systems involving sector nonlinearities and mixed time delays. Based on the H∞ guaranteed cost control theory and Lyapunov-Krasovskii functional method, an effective approach is proposed to design a H∞ state feedback guaranteed cost controller such that the resultant closed-loop system is stochastically stable in the mean square sense and has a H∞ performance level, and obtains a specified quadratic cost upper bound. Since the conditions obtained for the existence of H∞ guaranteed cost controllers are not linear matrix inequalities, a modified cone complementarity linearization algorithm is employed to solve the non-convex feasibility control problem. A numerical example demonstrates the effectiveness of the method.
Keywords :
Closed loop systems; Cost function; Delay; Delay effects; State feedback; Stochastic systems; Symmetric matrices; H∞ performance; cone complementarity linearization (CCL); discrete-time stochastic system; guaranteed cost control; mixed time-delays; sector nonlinearity; state feedback;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei, China
Print_ISBN :
978-1-4673-2581-3