Persistent Bounded Disturbance Rejection for Switched Linear Systems

The problem of persistent bounded disturbance rejection for switched linear systems is considered in this paper. First, the concept of internal stability with performance of bounded disturbance rejection for switched linear systems under arbitrary switching sequences is introduced. Then, an equivalent condition is obtained. By this, a necessary and sufficient condition for the existence of a subsystem-dependent linear state-feedback controller such that the closed-loop system is internally stable with the desired performance is established. A numerical example are worked out to illustrate the efficiency of the proposed approach.