Title :
Guaranteed Cost Control for Chaos Synchronization: LMI Approach
Author :
Tong, Chang-Fei ; Zhang, Hui ; Sun, You-Xian
Author_Institution :
Inst. of Modern Control Eng., Zhejiang Univ., Hangzhou
Abstract :
Based on Lyapunov stabilization and robust control theory, a guaranteed cost control law for synchronization of unidirectionally-coupled chaos systems is proposed in this paper. A linear model parameter uncertain form translation is given to transact the nonlinear part of the chaos system. Then, robust control is applied to the system. The optimal guaranteed control with linear error feedback scheme is solved by linear matrix inequality (LMI). A method to limit the control gain is also given to avoid great value. Finally, the effectiveness of the control law is verified and demonstrated by Chua´s circuit and Lorenz system in numerical examples
Keywords :
Lyapunov methods; chaos; cost optimal control; feedback; linear matrix inequalities; nonlinear control systems; robust control; LMI approach; Lyapunov stabilization; chaos synchronization; chaos system; control gain; guaranteed cost control; linear error feedback; linear matrix inequality; linear model parameter uncertain form translation; optimal guaranteed control; robust control theory; unidirectionally-coupled chaos systems; Chaos; Circuits; Control systems; Costs; Couplings; Error correction; Mathematical model; Optimal control; Robust control; Vectors; Chaos Synchronization; Guaranteed cost control; LMI;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712479
