Optimal control of chaotic system based on LS-SVM with mixed kernel

Authors:
Jianhong Xie
Affiliations:
School of Electronics, Jiangxi University of Finance and Economics, Nanchang, China
Venue:
IITA'09 Proceedings of the 3rd international conference on Intelligent information technology application
Year:
2009

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Abstract

Control of nonlinear system especially chaotic system is a main research content in the control field. In this paper, an optimal control method is proposed, which integrates Least Square Support Vector Machine (LS-SVM) with N-stage optimal control model. To enhance the control performance, a mixed kernel function used to LS-SVM is constructed through analyzing the existed kernel functions of LS-SVM. Then the LS-SVM optimal control method with mixed kernel is applied to control Rossler chaotic system. The closed loop simulation results show that, the chaotic system can be fast and smoothly convergent to the desirable equilibrium points by LS-SVM control method, and the LS-SVM controller is stable.