Sliding mode observer for set-valued Lur’e systems and chattering removing

Abstract

In this paper, we study a sliding mode observer for a class of set-valued Lur’e systems subject to uncertainties. We show the well-posedness of the problem and highlight the clear advantages of our approach over the existing Luenberger-like observers. Furthermore, we provide a new continuous approximation to remove the chattering effect in the sliding mode technique. Some numerical examples are given to illustrate our theoretical approach.