Sequential support vector machine control of nonlinear systems via lyapunov function derivative estimation

Authors:
Zonghai Sun;Youxian Sun;Yongqiang Wang
Affiliations:
National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China;National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China;National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China
Venue:
ICNC'05 Proceedings of the First international conference on Advances in Natural Computation - Volume Part II
Year:
2005

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Abstract

We introduce the support vector machine adaptive control by Lyapunov function derivative estimation. The support vector machine is trained by Kalman filter. Support vector machine is used to estimate the Lyapunov function derivative for affine nonlinear system, whose nonlinearities are assumed to be unknown. In order to demonstrate the availability of this new method of Lyapunov function derivative estimation, a simple example is given in the form of affine nonlinear system. The result of simulation demonstrates that the sequential training algorithm of support vector machine is effective and support vector machine control can achieve a satisfactory performance.