Title :
Robust H∞ control for uncertain time delay stochastic systems containing saturating nonlinear actuators
Author :
Li, Xie ; Gang, Xiong ; Xing, He ; Nyberg, Tima ; Weidong, Zhang ; Xiaoming, Xu
Author_Institution :
Dept. of Autom., Shanghai Jiao Tong Univ., China
Abstract :
The robust H∞ control problem for uncertain stochastic time-delay systems containing saturating nonlinear actuators is considered. The uncertainties are assumed to satisfy a specific match condition. The time delays exist in state as well as control input. A sufficient condition for which the stochastic system is robustly stable in probability for all admissible uncertainties and all time delays is derived. The delay-independent memoryless robust H∞ controllers are constructed to stabilize the given system in terms of a group of linear matrix inequalities
Keywords :
H∞ control; closed loop systems; control nonlinearities; delay systems; matrix algebra; nonlinear control systems; robust control; stochastic systems; uncertain systems; admissible uncertainties; delay-independent memoryless controllers; linear matrix inequalities; robust H∞ control; saturating nonlinear actuators; sufficient condition; uncertain time delay stochastic systems; Actuators; Control systems; Delay effects; Linear matrix inequalities; Nonlinear control systems; Robust control; Robustness; Stochastic systems; Sufficient conditions; Uncertainty;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980313
