Adaptive prescribed performance sliding mode control based on time‐varying barrier function

Abstract

In this paper, a nonoverestimated adaptive prescribed performance sliding mode control algorithm based on time‐varying barrier function is proposed, for high‐order integrator systems subject to bounded but unknown disturbances. The developed algorithm has some remarkable features. Firstly, it is able to ensure that the system states are confined in a performance function from the initial instant. Secondly, it is easy‐implementable and some exponential stability and practical fixed‐time stability algorithms can be easily obtained. Finally, with the system states to be known, the size of the performance function is independent of the upper bound of the external disturbance. To show the efficiency of the developed algorithm, some numerical simulations are provided.