Output regulation for switched linear systems with different coordinate transformations

Abstract

This paper addresses the output regulation problem for switched linear systems. When each regulation equation has their own solution, we give a sufficient condition for the output regulation problem to be solvable. Firstly, we give the regulation equations of switched linear systems and the relation of the transformed states between two consecutive switching times. Secondly, the existence of a minimal average dwell-time for every switching sequence is assumed, and by virtue of an appropriate Lyapunov analysis, the output regulation is achieved. Our result is of much less conservativeness.