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For a class of continuous time different structure chaotic systems, due to the strong robustness and adaptability of active disturbance rejection controller (ADRC), we put forward a kind of the anti-synchronization of different structure chaotic systems with auto-disturbance-rejection control strategy. Because there are many parameters in ADRC and they are very difficult to set, in this paper we propose a chaotic particle swarm optimization algorithm to optimize the parameters of controller. Using Lorenz system and Chua system with different structures as an example to perform the simulation test, the results of the simulation verify that the proposed method can realize the anti-synchronization control of the different structure chaos systems faster and has a very strong anti-interference ability.
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Keywords:
- anti-synchronization of different chaotic systems /
- active disturbance rejection controller /
- chaos particle swarm optimization /
- parameters optimization
[1] Liu F C, Song J Q 2008 Acta Phys. Sin. 57 4729 (in Chinese) [刘福才, 宋佳秋 2008 57 4729]
[2] Liu F C, Zang X F, Song J Q 2009 Acta Phys. Sin. 58 3765 (in Chinese) [刘福才, 臧秀凤, 宋佳秋 2009 58 3765]
[3] Cai N, Jing Y W, Jiang N, Zhang S Y 2009 J. Northeastern Univ. (Natural Science) 30 313 (in Chinese) [蔡娜, 井元伟, 姜囡, 张嗣瀛 2009 东北大学学报 (自然科学版) 30 313]
[4] Wang L Z, Fang H 2010 J. Southwest Univ. National. (Natural Science Edition) 36 721 (in Chinese) [王兰梓, 房辉 2010 西南民族大学学报 (自然科学版) 36 721]
[5] Wang X Y, Wu X J 2007 Acta Phys. Sin. 56 1988 (in Chinese) [王兴元, 武相军2007 56 1988]
[6] Liu F C, Li J Y, Zang X F 2011 Acta Phys. Sin. 60 030504 (in Chinese) [刘福才, 李俊义, 臧秀凤 2011 60 030504]
[7] Zhu S P 2011 Comput. Engineer. Appl. 47 145 (in Chinese) [朱少平 2011 计算机工程与应用 47 145]
[8] Han J Q 2002 Control Engineer. 9 13 (in Chinese) [韩京清 2002 控制工程 9 13]
[9] Zhu L L, Yu X N, Liu L 2005 Electron. Instrum. Custom. 4 64 (in Chinese) [朱丽岭, 于希宁, 刘磊 2005 仪器仪表用户 4 64]
[10] Liu Z H, Zhang Y J, Zhang J, Wu J H 2011 Acta Phys. Sin. 60 0195011 (in Chinese) [刘朝华, 张英杰, 张兢, 吴建辉 2011 60 0195011]
[11] Wang F B, Liu J, Chen Z K, Jiao C W 2012 Chin. J. Mech. Engineer. 48 32 (in Chinese) [王福斌, 刘杰, 陈至坤, 焦春旺 2012 机械工程学报 48 32]
[12] Tang X L 2007 Ph. D. Dissertation (Chongqing: Chongqing University) [唐贤伦 2007 博士学位论文 (重庆: 重庆大学)]
[13] Wang J Z, Zhu S L, Zhao W G, Zhu W J 2011 Expert Syst. Appl. 38 8151
[14] Geng H, Yang H Y , Zhang Y A, Chen H Y 2010 J. Syst. Simulat. 22 89 (in Chinese) [耿宏, 杨海云, 张永暖, 陈华媛 2010 系统仿真学报 22 89]
[15] Qian M W 2012 Small & Special Electrical Machines 40 40 (in Chinese) [钱苗旺 2012 微特电机 40 40]
[16] An X H, Gao Y L 2008 J. Comput. Appl. 28 28 (in Chinese) [安晓会, 高岳林 2008计算机应用 28 28]
[17] Hu J, Wang Z Q, Qiao S J, Gan J C 2011 Appl. Math. Comput. 217 8655
[18] Wong W K, Leung S Y S, Guo Z X 2012 Expert Syst. Appl. 39 8557
[19] Liu J K 2002 Advanced PID Control and MATLAB Simulation (Beijing: Publishing House of Electronics Industry) p130 (in Chinese) [刘金琨 2002 先进PID控制及其MATLAB仿真 (北京:电子工业出版社) 第130页]
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[1] Liu F C, Song J Q 2008 Acta Phys. Sin. 57 4729 (in Chinese) [刘福才, 宋佳秋 2008 57 4729]
[2] Liu F C, Zang X F, Song J Q 2009 Acta Phys. Sin. 58 3765 (in Chinese) [刘福才, 臧秀凤, 宋佳秋 2009 58 3765]
[3] Cai N, Jing Y W, Jiang N, Zhang S Y 2009 J. Northeastern Univ. (Natural Science) 30 313 (in Chinese) [蔡娜, 井元伟, 姜囡, 张嗣瀛 2009 东北大学学报 (自然科学版) 30 313]
[4] Wang L Z, Fang H 2010 J. Southwest Univ. National. (Natural Science Edition) 36 721 (in Chinese) [王兰梓, 房辉 2010 西南民族大学学报 (自然科学版) 36 721]
[5] Wang X Y, Wu X J 2007 Acta Phys. Sin. 56 1988 (in Chinese) [王兴元, 武相军2007 56 1988]
[6] Liu F C, Li J Y, Zang X F 2011 Acta Phys. Sin. 60 030504 (in Chinese) [刘福才, 李俊义, 臧秀凤 2011 60 030504]
[7] Zhu S P 2011 Comput. Engineer. Appl. 47 145 (in Chinese) [朱少平 2011 计算机工程与应用 47 145]
[8] Han J Q 2002 Control Engineer. 9 13 (in Chinese) [韩京清 2002 控制工程 9 13]
[9] Zhu L L, Yu X N, Liu L 2005 Electron. Instrum. Custom. 4 64 (in Chinese) [朱丽岭, 于希宁, 刘磊 2005 仪器仪表用户 4 64]
[10] Liu Z H, Zhang Y J, Zhang J, Wu J H 2011 Acta Phys. Sin. 60 0195011 (in Chinese) [刘朝华, 张英杰, 张兢, 吴建辉 2011 60 0195011]
[11] Wang F B, Liu J, Chen Z K, Jiao C W 2012 Chin. J. Mech. Engineer. 48 32 (in Chinese) [王福斌, 刘杰, 陈至坤, 焦春旺 2012 机械工程学报 48 32]
[12] Tang X L 2007 Ph. D. Dissertation (Chongqing: Chongqing University) [唐贤伦 2007 博士学位论文 (重庆: 重庆大学)]
[13] Wang J Z, Zhu S L, Zhao W G, Zhu W J 2011 Expert Syst. Appl. 38 8151
[14] Geng H, Yang H Y , Zhang Y A, Chen H Y 2010 J. Syst. Simulat. 22 89 (in Chinese) [耿宏, 杨海云, 张永暖, 陈华媛 2010 系统仿真学报 22 89]
[15] Qian M W 2012 Small & Special Electrical Machines 40 40 (in Chinese) [钱苗旺 2012 微特电机 40 40]
[16] An X H, Gao Y L 2008 J. Comput. Appl. 28 28 (in Chinese) [安晓会, 高岳林 2008计算机应用 28 28]
[17] Hu J, Wang Z Q, Qiao S J, Gan J C 2011 Appl. Math. Comput. 217 8655
[18] Wong W K, Leung S Y S, Guo Z X 2012 Expert Syst. Appl. 39 8557
[19] Liu J K 2002 Advanced PID Control and MATLAB Simulation (Beijing: Publishing House of Electronics Industry) p130 (in Chinese) [刘金琨 2002 先进PID控制及其MATLAB仿真 (北京:电子工业出版社) 第130页]
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