Integral Sliding Mode Control for a Kind of Impulsive Uncertain Reaction-Diffusion Systems

Abstract

This article discusses the integral sliding mode control problem for a kind of periodically impulsive uncertain reaction-diffusion systems (IURDSs). A novel integral sliding surface containing impulsive effects and reaction-diffusion terms is constructed, such that the impulsive effects for IURDSs can be removed. A novel sliding mode controller with impulsive effects is designed to ensure the reachability of the specified sliding surface in a finite time interval. By means of linear matrix inequalities (LMIs), the robust exponential stability of this kind of IURDSs are derived. Finally, a numerical example is provided to verify the availability of our findings.