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Based on the finite time control Lyapunov function the synchronization control between unified chaotic system and chaotic Liu system with uncertain parameters and different structures is investigated. The feedback control law does not require to know the specific value of parameter, but only depends on the variation range of the parameter. Compared with existing control method, it can effectively overcome the effect of mismatched parameters, moreover, the feedback is relatively simple and robust. Simulation results verify the effectiveness of the proposed control method.
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Keywords:
- synchronization with different structures /
- finite time control Lyapunov function /
- robust control
[1] Wang F Q, Liu C X 2006 Acta Phys. Sin.55 505 (in Chinese) [王发强, 刘崇新 2006 55 505]
[2] Liu Y Z, Jiang C S, Lin C S 2007 Acta Phys. Sin.56 707 (in Chinese) [刘杨正, 姜长生, 林长圣 2007 56 707]
[3] Salarieh H, Shahrokhi M 2008 Chaos Solitons and Fractals 37 125
[4] Huang J 2008 Nonlinear Anal. 69 4174
[5] Cai X S, Han Z Z 2005 IEE Proceedings Control Theory and Applications 52 79
[6] Wang H, Han Z Z 2009 Ph. D. Dissertation (shanghai: Shanghai Jiao Tong University) (in Chinese) [王划, 韩正之 2009 博士学位论文(上海:上海交通大学)]
[7] L J H, Chen G R, Cheng D Z 2002 Int. J. Bifurcat. Chaos 12 2719
[8] Chong X L, Tao L, Ling L, Kai L 2004 Chaos Solitons and Fractals 22 1031
[9] Hong Y G, Yang G B, Linda, Wang H 2000 IEEE Conference on Decision and Control 39 2908
[10] Bhat S P, Bernstein D S 2005 Mathematics of Control, Signals, and Systems 17 101
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[1] Wang F Q, Liu C X 2006 Acta Phys. Sin.55 505 (in Chinese) [王发强, 刘崇新 2006 55 505]
[2] Liu Y Z, Jiang C S, Lin C S 2007 Acta Phys. Sin.56 707 (in Chinese) [刘杨正, 姜长生, 林长圣 2007 56 707]
[3] Salarieh H, Shahrokhi M 2008 Chaos Solitons and Fractals 37 125
[4] Huang J 2008 Nonlinear Anal. 69 4174
[5] Cai X S, Han Z Z 2005 IEE Proceedings Control Theory and Applications 52 79
[6] Wang H, Han Z Z 2009 Ph. D. Dissertation (shanghai: Shanghai Jiao Tong University) (in Chinese) [王划, 韩正之 2009 博士学位论文(上海:上海交通大学)]
[7] L J H, Chen G R, Cheng D Z 2002 Int. J. Bifurcat. Chaos 12 2719
[8] Chong X L, Tao L, Ling L, Kai L 2004 Chaos Solitons and Fractals 22 1031
[9] Hong Y G, Yang G B, Linda, Wang H 2000 IEEE Conference on Decision and Control 39 2908
[10] Bhat S P, Bernstein D S 2005 Mathematics of Control, Signals, and Systems 17 101
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