A New Adaptive Sliding-Mode Control and Its Application to Robot Manipulators

This paper proposes a new adaptive law based on sliding-mode control(SMC) control. The proposed adaptive law adjusts the switching gain near the sliding manifold to have the appropriate attractivity property. This appropriate attractivity property prevents unexpected errors caused by the excessive or insufficient adaptation of switching gain. Furthermore, this adaptive law ensures the fast adaptation speed of switching gain, and this yields the reduction of chattering. For the more practical implementation based on a model-free controller, the proposed adaptive SMC (ASMC) works together with a time-delay controller(TDC). To validate the proposed adaptive law, the results of simulations are carried out and comparisons are made with existing ASMC control schemes.