Feedback Stabilization of Switched Linear Systems With Bounded Network Delay Under Finite Data Rates

This paper aims to stabilize a switched linear system which transmits its feedback information through digital communication networks. It investigates the effects of three factors on stabilization of the concerned system, including bounded network delay, unknown switching time instants and limited information to represent the system state. The network delay cannot be precisely known, may degrade the system’s performance and even destabilize it. Compared with the earlier work on delay-free switched linear systems, it needs to place stricter restrictions on the feedback data rate conditions and the average dwell time. It assumes that the switching is slow enough in the sense of combined dwell time and average dwell time, each individual mode is stabilizable and the available feedback data rate is high enough, but still finite. It proposes some encoding and control strategies to stabilize the switched linear systems with bounded network delay under some feedback data rate conditions.