A Design Method of LS-SVM Based Stable Adaptive Controller for a Class of Nonlinear Systems

Article Preview

Abstract:

A design method of LS-SVM based stable adaptive controller is proposed for a class of nonlinear continuous systems with unknown nonlinear function in this paper. Due to the fact that the control law is derived based on the Lyapunov stability theory, the scheme can not only solve the tracking problem of this class of nonlinear systems, but also it can guarantee the asymptotic stability of the closed systems, which is superior to many LS-SVM based control schemes. The effectiveness of the proposed scheme is demonstrated by simulation results.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

17-20

Citation:

Online since:

February 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] V. N. Vapnik: The Nature of Statistical Learning Theory, ch. 6, New York: Springer-Verlag (1999).

Google Scholar

[2] J. A. K. Suykens: Nonlinear Modeling and Support Vector Machines (Published Conference Proceedings style), in Proc. 18 th Annu. IEEE Conference on Instrumentation and Measurement Technolog, Budapest (2001), pp.287-294.

Google Scholar

[3] J. A. K. Suykens: Support vector machines: a nonlinear modeling and control perspective, European Journal of Control, vol. 7 (2001), pp.311-327.

DOI: 10.3166/ejc.7.311-327

Google Scholar

[4] S. G. Shen, G. J. Wang, and H. Chen: Application of RLS-SVM in Identification and Control for Inverse Dynamics of System, Proceedings of the CSEE, vol. 28 (2008), pp.85-89 (In Chinese).

Google Scholar

[5] Z. K. Guo, Z. Q. Song and J. Q. Mao: Nonlinear generalized predictive control based on least square support vector machine, Control and Decision, Vol. 24 (2009), pp.520-525 (In Chinese).

Google Scholar

[6] K. S. Narendra and A. M. Annaswamy, Stable Adaptive Systems, ch. 4, Prentice Hall: Englewood, Cliffs, NJ (1989).

Google Scholar