Adaptive chattering-free sliding mode control strategy for uncertain chaotic systems via wavelet support vector machine

This paper proposes an adaptive chattering-free sliding mode control strategy for uncertain chaotic systems with wavelet support vector machine based hybrid models. The phi(6) -Van der Pol oscillator whose uncertain behaviors vary with the time is used to test the proposed strategy, and the simulation results show the hybrid control strategy not only can control the uncertain chaotic behaviors to a desired state without oscillator very fast, but also the switching function is smooth without chattering.