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基于有限时间控制Lyapunov函数,研究了统一混沌系统与具有不确定参数Liu混沌系统的异结构同步控制, 其控制律不需要知道参数的具体数值,只依赖参数的变化范围.与现有控制方法相比, 可有效克服较大参数误差对同步的影响,同时设计比较简单,鲁棒性较强.仿真结果证明了控制方法的有效性.
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关键词:
- 异同步 /
- 有限时间控制Lyapunov函数 /
- 鲁棒控制
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.-
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 物理学报 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 物理学报 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 物理学报 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 物理学报 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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