A sliding mode control design for mismatched uncertain systems based on states transformation scheme and chattering alleviating scheme

Abstract

In this paper, a class of mismatched uncertain systems is investigated. And a novel sliding mode control design is presented. During the design process of the proposed control, a transformation scheme is proposed, which can easily transform the mismatched uncertain systems into matched systems. Based on the matched systems, a novel full order sliding mode surface is designed, which can avoid the singular issue of terminal sliding mode control. And a chattering alleviating scheme is also proposed, which can ensure that the sliding mode control is chattering free regardless of whether the conventional sliding mode control or the terminal sliding mode control is used. Compared with the recurrent controller, the complexity of the proposed controller is reduced. It is much simpler and easy to implement. Also, the need of system knowledge is also reduced. The control performance is validated by simulation.