Second-order time-varying sliding mode control for uncertain systems

A novel second-order time-varying sliding mode control(SOTVSMC) law is proposed for the robust tracking control problem of nonlinear smooth single-input single-output(SISO) system with disturbance. The advantages of the proposed SOTVSMC are twofold. The global second order sliding mode is established, which implies that the closed-loop system is global robust against matched parameter uncertainties and disturbances. Meanwhile, the chattering problem is significantly alleviated. Then the parameter of the sliding mode is obtained by solving an optimal problem. Finally, the effectiveness and robustness of the control strategy is demonstrated by simulation results.

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