Adaptive Event-Triggered Sliding Mode Control

Abstract

In this chapter, the problems of adaptive event-triggered sliding mode control are investigated for semi-Markovian switching systems (S-MSSs). Network-induced communication constraint and uncertain parameter are considered in the designing process of sliding mode controller. Owing to the limitation of the measurement transducers, the states of S-MSSs are not always measurable. Different from the traditional static event-triggered scheme, the adaptive event-triggered scheme is adopted to be efficient in reducing the number of triggering. Due to the network communication, the network-induced delays between the event trigger and the zero-order holder (ZOH) are unavoidable. This chapter aims to design an appropriate sliding mode control law under an adaptive event-triggered mechanism. Based on the stochastic semi-Markovian Lyapunov functional, sojourn-time-dependent sufficient conditions are proposed to realize stochastic stability for S-MSSs. An appropriate sliding mode control law is constructed such that the reachability of the specified sliding surface is guaranteed in a finite-time region. Finally, a boost converter circuit model is presented to demonstrate the theoretical findings.