Title :
Control and synchronization for uncertain chaotic systems with LMI approach
Author :
Deng, Lili ; Xu, Junqun
Author_Institution :
Inst. of Syst. Eng., Tianjin Univ., Tianjin, China
Abstract :
This paper presents new sufficient conditions for control and synchronization of chaos systems with parametric uncertainties by applying the linear-state-feedback approach. Control laws are derived to achieve chaos control and chaos synchronization on the basis of Lyapunov stability theory. In particular, we provide the synchronous upper-bound with the only bounded perturbations. Numerical stimulations are given to illustrate the proposed results.
Keywords :
Lyapunov methods; chaos; linear matrix inequalities; nonlinear control systems; stability; synchronisation; uncertain systems; LMI approach; Lyapunov stability theory; chaos control; chaos synchronization; linear matrix inequalities; linear-state-feedback approach; parametric uncertainty; uncertain chaotic systems; Chaos; Control systems; Feedback control; Lyapunov method; Niobium; Sliding mode control; Sufficient conditions; Systems engineering and theory; Uncertain systems; Uncertainty; Chaos Control; Chaos Synchronization; Linear Matrix Inequalities; Uncertain System;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498396
