Title :
Delay-dependent H∞ guaranteed cost control for uncertain neutral stochastic systems with unbounded distributed delays
Author :
Jiahua Zou ; Yu Xue ; Yantao Wang ; Xian Zhang
Author_Institution :
Sch. of Math. Sci., Heilongjiang Univ., Harbin, China
Abstract :
In this paper, we consider the problem of delay-dependent H∞ guaranteed cost control for a class of uncertain neutral stochastic systems with unbounded distributed delays. The aim is to design a delay-dependentH∞ guaranteed cost controller and to obtain the upper bound of the quadratic cost function. Since the stochastic robust H∞ stabilization condition is investigated by a nonlinear matrix inequality approach, a cone complementarity linearization (CCL) algorithm is constructed to solve the nonlinear problem. A numerical example is provided to demonstrate the effectiveness of the proposed approach.
Keywords :
H∞ control; cost optimal control; delay systems; distributed control; linear matrix inequalities; linearisation techniques; nonlinear control systems; robust control; stochastic systems; uncertain systems; CCL algorithm; cone complementarity linearization algorithm; delay-dependent H∞ guaranteed cost control; nonlinear matrix inequality approach; nonlinear problem; quadratic cost function; stochastic robust H∞ stabilization condition; unbounded distributed delays; uncertain neutral stochastic systems; upper bound; Closed loop systems; Cost function; Delays; Linear matrix inequalities; Stochastic systems; Uncertainty; Vectors; cone complementarity linearization (CCL); delay-dependent H∞ guaranteed cost control; neutral stochastic system; nonlinear matrix inequality; unbounded distributed delays;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895658