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Fuzzy Modeling and Impulsive Control of a Memristor-Based Chaotic System |
ZHONG Qi-Shui1, YU Yong-Bin2, YU Jue-Bang3 |
1Institute of Astronautics and Aeronautics, University of Electronic Scienceand Technology of China, Chengdu 6100542School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 6100543School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054 |
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Cite this article: |
ZHONG Qi-Shui, YU Yong-Bin, YU Jue-Bang 2010 Chin. Phys. Lett. 27 020501 |
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Abstract We mainly investigate the issues of fuzzy modeling and impulsive control of a memristor-based chaotic system and present a memristor-based chaotic system as the Takagi-Sugeno model-based fuzzy system. Then, based on the impulsive control theory of dynamical systems, a criterion ensuring impulsive stabilization of the memristor-based chaotic system is derived for the first time. An illustrative example is given to verify the effectiveness of the control scheme.
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Keywords:
05.45.Gg
42.82.Fv
07.05.Mh
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Received: 21 May 2009
Published: 08 February 2010
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PACS: |
05.45.Gg
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(Control of chaos, applications of chaos)
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42.82.Fv
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(Hybrid systems)
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07.05.Mh
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(Neural networks, fuzzy logic, artificial intelligence)
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[1] Ott E, Grebogi C and Yorke J 1990 Phys. Rev. Lett. 64 1196 [2] Zhong Q, Bao J, Yu Y and Liao X 2008 Chin. Phys. Lett. 25 2812 [3] Zhong Q, Bao J, Yu Y and Liao X 2008 Math. Comput. Simulat. 79 409 [4] Tanaka K, Ikeda T and Wang H 1998 IEEE Trans. Circuits Systems 45 1021 [5] Li Z and Shi S 2003 Phys. Lett. A 311 4 [6] Li Z, Chen G, Shi S et al 2003 Phys. Lett. A 310 40 [7] Zhang H, Liao X and Yu J 2005 Chaos, Solitons and Fractals 26 835 [8] Zheng Y A, Nian Y B and Liu Z R 2002 Chin. Phys. Lett. 19 1251 [9] Yang T 1999 IEEE Trans. Automatic Control 44 1080 [10] Zhong Q, Bao J, Yu Y and Liao X 2009 Chaos, Solitons and Fractals 41 2123 [11] Sun J, Zhang Y, and Wu Q 2003 IEEE Trans. Automat. Control 48 829 [12] Liu X, Teo K and Zhang Y 2005 Nonlin. Anal. 62 429 [13] Sen M and Luo N 2003 IEEE Trans. Circuits Systems 50 149 [14] Liu X and Ballinger G 2001 Comput. Math. Appl. 41 903 [15] Strukov D B et al 2008 Nature 453 80 [16] Chua L O 1971 IEEE Trans. Circuit Theory 18 507 [17] Chen G 2008 IEEE Circuits Systems Mag. 8 55 [18] Itoh M and Chua L O 2008 Int. J. Bifur. Chaos 18 3183 [19] Tanaka K and Wang H O 2001 Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach (New York: John Wiley \& Sons)
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