Observer-based adaptive arbitrary switching fuzzy tracking control for a class of switched nonlinear systems

Abstract

This paper focuses on the output tracking problem for a class of uncertain switched nonlinear systems with arbitrary switching signal and unavailable states. By designing a proper reduced-order observer and introducing fuzzy approximation, a systematic adaptive domination recursive method is presented to explicitly construct a common smooth dynamic output feedback controller, such that under arbitrary switching, all error variables of the corresponding closed-loop switched systems are semi-globally, uniformly, and ultimately bounded (SGUUB), as well as the tracking error may be adjusted to a small neighborhood of the origin. Compared with the existing results, the proposed control scheme overcomes the restrictions on nonlinear functions of systems only relating to the output variable and switching signal subjecting to certain dwell time. Its effectiveness and feasibility are demonstrated by both a numerical example and a chemical system.