Solvability of the output regulation problem for switched non-linear systems

Abstract

The output regulation problem for a class of switched non-linear systems is addressed in this study. First of all, the authors adopt the multiple Lyapunov function method to design a switching law, which solves the problem without the problem solvability of any subsystem. Then, in the sense of an average dwell time, another solvability condition for the problem is presented with respect to a family of switching signals which satisfies the average dwell time. Moreover, an explicit expression about the average dwell time is given. The results extend those of the output regulation problem for non-switched non-linear systems to switched non-linear systems. Simulation examples also show the validity of the results.