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Conventional chaos control methods need model information of the chaos system, but model parameter is always unknown in engineering practice and the dynamic uncertainty of model-building often appears inevitably. In this case it is impossible to acquire best control performance index of optimization. To resolve this problem an adaptive control algorithm of chaotic systems based on model free method is proposed. It is a low cost controller. With this method, we can easily know a priori knowledge of chaos system only be adjusting a few parameters online without training before hand. We prove that this algorithm has a good stability mathematically. Simulation results show the effectiveness of this theory.
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Keywords:
- chaotic control /
- adaptive /
- model free /
- data-drive
[1] Mei X P, Fan Z P, Chen C L 2002 Chaos Control and The Application on Security Communication (1st Ed.) (Beijing: National Defence Industry Press) p75 (in Chinese) [美新平, 范正平, 陈彩莲 2002混沌控制及其在保密通信中的应用(北京: 国防工业出版社) 第75页]
[2] Lorenz E N 1963 Atmos. Science 20 130
[3] Hubler A 1989 Helv. Phys. Acta 62 343
[4] Ott E, Grebogi C, Yorke J A 1990 Phys. Rev. Lett. 64 1196
[5] Hou Z S, Bu X H 2011 Expert Syst. Appl. 38 710
[6] Hou Z S, Jin S T 2011 IEEE Trans. Neural Networks 22 2173
[7] Jens W, Marco A, Leonardo R 2011 Int. J. Control. 84 138
[8] Bu X H, Yu F S, Zhang H W 2012 Math. Problems Engin. 55 1
[9] Abudoureheman Kadeer 2009 Ph. D. Dissertation (Dalian: Dalian University of Techology) (in Chinese) [阿布都热合曼·卡的尔 2009 博士学位论文 (大连: 大连理工大学)]
[10] Tao C H, Lu J A 2003 Acta Phys. Sin. 52 281 (in Chinese) [陶朝海,陆君安 2003 52 281]
[11] Chen Y S, Liang J S 2006 J. Hebei Univ. Sci. Technol. 27 267 (in Chinese) [陈予恕, 梁建术2006 河北科技大学学报 27 267]
[12] Yu D C, Meng Q H 2005 Acta Phys. Sin. 54 1092 (in Chinese) [禹东川, 孟庆浩 2005 54 1092]
[13] Tian G B 2009 Ph. D. Dissertation (Guangzhou: South China University of Techology) (in Chinese) [钱恭斌 2009 博士学位论文 (广州: 华南理工大学)]
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[1] Mei X P, Fan Z P, Chen C L 2002 Chaos Control and The Application on Security Communication (1st Ed.) (Beijing: National Defence Industry Press) p75 (in Chinese) [美新平, 范正平, 陈彩莲 2002混沌控制及其在保密通信中的应用(北京: 国防工业出版社) 第75页]
[2] Lorenz E N 1963 Atmos. Science 20 130
[3] Hubler A 1989 Helv. Phys. Acta 62 343
[4] Ott E, Grebogi C, Yorke J A 1990 Phys. Rev. Lett. 64 1196
[5] Hou Z S, Bu X H 2011 Expert Syst. Appl. 38 710
[6] Hou Z S, Jin S T 2011 IEEE Trans. Neural Networks 22 2173
[7] Jens W, Marco A, Leonardo R 2011 Int. J. Control. 84 138
[8] Bu X H, Yu F S, Zhang H W 2012 Math. Problems Engin. 55 1
[9] Abudoureheman Kadeer 2009 Ph. D. Dissertation (Dalian: Dalian University of Techology) (in Chinese) [阿布都热合曼·卡的尔 2009 博士学位论文 (大连: 大连理工大学)]
[10] Tao C H, Lu J A 2003 Acta Phys. Sin. 52 281 (in Chinese) [陶朝海,陆君安 2003 52 281]
[11] Chen Y S, Liang J S 2006 J. Hebei Univ. Sci. Technol. 27 267 (in Chinese) [陈予恕, 梁建术2006 河北科技大学学报 27 267]
[12] Yu D C, Meng Q H 2005 Acta Phys. Sin. 54 1092 (in Chinese) [禹东川, 孟庆浩 2005 54 1092]
[13] Tian G B 2009 Ph. D. Dissertation (Guangzhou: South China University of Techology) (in Chinese) [钱恭斌 2009 博士学位论文 (广州: 华南理工大学)]
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