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Guaranteed Cost Control for Chaos Synchronization: LMI Approach

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3 Author(s)
Chang-Fei Tong ; Inst. of Modern Control Eng., Zhejiang Univ., Hangzhou ; Hui Zhang ; You-Xian Sun

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

Published in:
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on  (Volume:1 )

Date of Conference: 0-0 0

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