H∞ guaranteed cost control for stochastic system with distributed delays

Author

Su, Lian-Qing ; Zhu, Xiao-dan ; Zhou, Chang-Jie ; Qiu, Ji-qing ; Zhao, Yan-Chun ; Du, Xiao-ming

Author_Institution

Coll. of Sci., Hebei Univ. of Sci. & Technol., Shijiazhuang, China

Volume

4

fYear

2010

fDate

11-14 July 2010

Firstpage

1855

Lastpage

1859

Abstract

The problem of H_∞ guaranteed cost control for delay-dependent stochastic systems is considered. Both distributed delays and delay dependent appear in the systems. A delay-dependent stabilization condition is given in terms of Lyapunov stability theory and the linear matrix inequality (LMI) technique. Furthermore, a sufficient condition of the existence of H_∞ guaranteed cost controller is constructed. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed approaches in this paper.

Keywords

H^∞ control; Lyapunov methods; delays; distributed control; linear matrix inequalities; stochastic systems; H_∞ guaranteed cost control; Lyapunov stability theory; distributed delays; linear matrix inequality; stabilization condition; stochastic system; Delay; Linear matrix inequalities; Delay-dependent; Hoo control; distributed delay; guaranteed cost control; stochastic system;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics (ICMLC), 2010 International Conference on

Conference_Location

Qingdao

Print_ISBN

978-1-4244-6526-2

Type

conf

DOI

10.1109/ICMLC.2010.5580954

Filename

5580954