Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561373
