Notice of Violation of IEEE Publication Principles: Optimal Control of Chaotic System Based on LS-SVM with Mixed Kernel

Abstract

Notice of Violation of IEEE Publication Principles<br><br>"Optimal Control of Chaotic System Based on LS-SVM with Mixed Kernel"<br>by Jianhong Xie<br>in the Proceeding of the 2009 Third International Symposium on Intelligent Information Technology Application, November 2009<br><br>After careful and considered review of the content and authorship of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE's Publication Principles.<br><br>This paper contains significant portions of original text from the paper cited below. The original text was copied without attribution (including appropriate references to the original author(s) and/or paper title) and without permission.<br><br>Due to the nature of this violation, reasonable effort should be made to remove all past references to this paper, and future references should be made to the following article:<br><br>"Optimal Control by Least Squares Support Vector Machines"<br>by J.A.K. Suykens, J. Vandewalle, and B. De Moor<br>in Neural Networks, Vol. 14, Issue 1, January 2001, Elsevier, pp. 23-35<br><br> <br/> 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.