Robust H∞ control for uncertain stochastic system with spectral restraint

Author

Peng Cui ; Chenghui Zhang ; Mei Zhang

Author_Institution

Sch. of Control Sci. & Eng., Shandong Univ., Jinan, China

fYear

2013

fDate

25-27 May 2013

Firstpage

2568

Lastpage

2572

Abstract

A design procedure for state feedback controllers is derived for uncertain stochastic systems. The controller ensures that the closed loop system is asymptotical mean square stable with stabilizing degree α, and H_∞ bound is less than some given scalars. Based on linear matrix inequalities (LMI) method and convex optimization algorithm, this paper gets one sufficient condition, which guarantees the closed-loop is with stabilizing degree α and the H_∞ bound is least. Furthermore, the robust H_∞ optimization controller design and the least H_∞ bound are presented via solving one convex optimization problem with LMI constraints.

Keywords

H^∞ control; asymptotic stability; closed loop systems; control system synthesis; convex programming; linear matrix inequalities; robust control; state feedback; stochastic systems; uncertain systems; LMI constraints; LMI method; asymptotical mean square stable system; closed loop system; convex optimization algorithm; least H_∞ bound; linear matrix inequalities; robust H_∞ optimization controller design; spectral restraint; stabilizing degree; state feedback controller design; sufficient condition; uncertain stochastic systems; Control systems; Convex functions; Educational institutions; Electronic mail; Linear matrix inequalities; Robustness; Stochastic systems; H∞ control; LMI; convex optimization; spectrum;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6561373

Filename

6561373