Sliding Mode Control Based On SVM for Fractional Order Time-delay System

Abstract

An approach of fractional order sliding mode control based on support vector machine (SVM) was proposed to deal with fractional order system affected by both state delays and control delays. The original system is transformed into linear delay-free system by linear transformation to eliminate the impact of time-delay. Furthermore, a fractional-order sliding mode surface is designed and the SVM is applied to adjust the parameters of reaching law in order to overcome the defects in the conventional sliding mode control reaching law parameters should be set in advance. Compared with integer-order sliding mode control, the proposed method not only enables system to reach switching surface within shorter time, but also guarantees faster response, stronger robustness, lower chattering, and the control performance is improved. The simulation results show that the validity of the proposed scheme.