Delay-dependent robust stabilization of uncertain stochastic system with time-varying delay

Author

Li Boren

Author_Institution

Coll. of Comput., Dongguan Univ. of Technol., Dongguan, China

fYear

2014

Firstpage

4447

Lastpage

4451

Abstract

In this paper, we consider the delay-dependent robust stabilization of uncertain stochastic system with time-varying delay using Lyapunov-Krasovskii (LK) functional approach. By exploiting a candidate LK functional and using free-weighting matrices in the delay-dependent analysis, a less conservative sufficient condition for the existence of a memoryless state feedback controller. A numerical example is presented to illustrate the effectiveness of the proposed result.

Keywords

Lyapunov methods; control system analysis; delays; linear matrix inequalities; robust control; state feedback; stochastic systems; uncertain systems; LK functional approach; Lyapunov-Krasovskii functional approach; delay-dependent analysis; delay-dependent robust stabilization; free-weighting matrix; memoryless state feedback controller; sufficient condition; time-varying delay; uncertain stochastic system; Delays; Equations; Linear matrix inequalities; Robustness; Stochastic systems; Symmetric matrices; Time-varying systems; Delay-dependent analysis; Linear Matrix Inequality; Lyapunov-Krasovskii functional; Time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2014 11th World Congress on

Type

conf

DOI

10.1109/WCICA.2014.7053462

Filename

7053462