Title :
Optimal control for a class of chaos synchronization with input constraint
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, an optimal guaranteed cost control law for chaos synchronization is proposed in this paper. A polytopic model-parameter uncertain presentation for robust control is applied for the piece-wise linear function which exists in a class of chaotic systems. The optimal control law with input constraint is processed by linear matrix inequality (LMI) solver. The effectiveness of the control law is verified and demonstrated by the chaotic Chua´s circuit
Keywords :
Chua´s circuit; Lyapunov methods; chaos; cost optimal control; linear matrix inequalities; piecewise linear techniques; robust control; synchronisation; Lyapunov stabilization; chaos synchronization; chaotic Chua circuit; chaotic systems; input constraint; linear matrix inequality; optimal guaranteed cost control law; piecewise linear function; polytopic model-parameter uncertain presentation; robust control; Chaos; Circuits; Control systems; Couplings; Master-slave; Mathematical model; Optimal control; Piecewise linear techniques; Robust control; Vectors;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1657562
