Stabilization of networked switched linear systems: An asynchronous switching delay system approach

Abstract

In this paper, we investigate the network-dependent hybrid controller design for a class of networked switched linear systems. Networks with limited bandwidth cause the asynchronous motions between switched subsystems and the candidate controllers in both the state measurement and the switching signal. We rewrite the original networked switched systems by sampled asynchronous switched systems with time-varying delays. Using the asynchronous switched delay system method, we give the co-design conditions on both the switching signal and the controllers which depend on the sampling time, the upper bound of network-induced delays, the bound of the asynchronous switching time ratio and the asynchronous occurring frequency, under which the networked switched system is exponentially stable.