Nonfragile-Observer-Based Integral Sliding Mode Control for a Class of Uncertain Switched Hyperbolic Systems

Abstract

This article concerns nonfragile-observer-based integral sliding mode control for a class of uncertain switched hyperbolic systems (USHSs). First, by means of variable substitutions, the original hyperbolic differential system is reduced into a first-order one. Then, a nonfragile observer and the state-estimate-based sliding mode control law are designed, respectively, such that the reachability of the sliding surface and the novel criteria on asymptotical stability of the sliding dynamic USHSs can be ensured. Finally, a numerical example is presented to illustrate the effectiveness of our findings.