SVM Inverse Control Method to Nonlinear Systems

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Abstract:

In recent years, inverse system method has been achieved some progress. However, it needs not only deterministic mathematical model but also analytical expression of the inverse system. They are often not able to be realized for most of the actual control systems. Therefore, it is necessary to combine the inverse system method and the intelligent control methods which are not relied on or not entirely relied on precise model in order to overcome its "bottleneck" in practical application. The application of support vector machine in inverse system method is mainly studied in this paper. Firstly, the rigorous theory of inverse system method is introduced. Secondly, SVM inverse control method is described. Finally, the additional controller is designed to complete the closed-loop control of the pseudo linear systems. Through simulation in MATLAB, the result shows that the method in this paper is effective and feasible.

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Advanced Materials Research (Volumes 765-767)

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1974-1978

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September 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] Lin W. Feedback stabilization of general nonlinear control systems: a passive system approach [J]. Systems & control letters, 1995, 25(1): 41-52.

DOI: 10.1016/0167-6911(94)00056-2

Google Scholar

[2] Karer G, Mušič G, Škrjanc I, et al. Feedforward control of a class of hybrid systems using an inverse model [J]. Mathematics and computers in simulation, 2011, 82(3): 414-427.

DOI: 10.1016/j.matcom.2010.10.015

Google Scholar

[3] Cortes C, Vapnik V. Support vector machine [J]. Machine learning, 1995, 20(3): 273-297.

DOI: 10.1007/bf00994018

Google Scholar

[4] GAO Juan. Artificial Neural Networks Theory and Simulation Examples(2nd Version)[M]. Beijing: China Machine Press, (2007).

Google Scholar

[5] LI Chunwen,MIAO Yuan,FENG Yuankun, et al. Inverse System Method for Nonlinear Systems Control (Ⅰ) - Single Variable Control Theory [J]. CONTROL AND DECISION, 1997, 12(5): 529-535.

Google Scholar

[6] LI Chunwen,MIAO Yuan,FENG Yuankun, et al. Inverse System Method for Nonlinear Systems Control (Ⅱ) - Multivariable Variable Control Theory [J]. CONTROL AND DECISION, 1997, 12(6), 625-630.

Google Scholar

[7] LI Chunwen, FENG Yuankun. Inverse System Method and its Application [J]. Journal of Tsinghua University (Science and Technology), 1986, 26(2): 105-114.

Google Scholar

[8] DAI Xianzhong. Control Method of Inversion with Neural Network Used for Multi-Variable Nonlinear Control System [M]. Beijing: Science Press, (2005).

Google Scholar

[9] DAI Xianzhong, LIU Jun etc. Neural network α-th order inverse system method for the control of nonlinear continuous systems [J]. IEE Proceedings-Control Theory and Applications, 1998, 145(6): 519-522.

DOI: 10.1049/ip-cta:19982411

Google Scholar

[10] Kennedy J, Eberhart R. Particle swarm optimization [C]. Proceedings, IEEE International Conference on. IEEE, 1995, 4: 1942-(1948).

Google Scholar

[11] Poli R, Kennedy J, Blackwell T. Particle swarm optimization [J]. Swarm intelligence, 2007, 1(1): 33-57.

DOI: 10.1007/s11721-007-0002-0

Google Scholar

[12] SHI Feng, WANG Xiaochuan, YU Lei, et al. MATLAB Analysis of 30 Neural Network Cases [M]. Beijing:Beijing University of Aeronautics and Astronautics Press, (2010).

Google Scholar

[13] SHI Feng, WANG Hui, YU Lei, et al. MATLAB Analysis of 30 Intelligent Algorithm Cases [M]. Beijing: Beijing University of Aeronautics and Astronautics Press, (2011).

Google Scholar