Variable structure based adaptive control with tuning function design for a class of unknown switched linear systems

Abstract

This paper considers the control problem of switched linear systems with unknown parameters and unknown switching signals. For the considered system, robust model reference adaptive control (MRAC) approach can only guarantee error boundedness under an average dwell time (ADT) condition which is implicit and is difficult to estimate. We propose a variable structure (VS) based adaptive control with tuning function design to achieve better results than the MRAC approach. Moreover, the VS control is partially extended to relative degree two case and using similar approach, it can be generalized to higher relative degree case.