Event-triggered stabilization of uncertain scalar switched linear systems with bounded network delay

This paper aims to stabilize an uncertain scalar switched linear system whose feedback information is transmitted over a digital communication network. The system has a scalar state. That network can only supply a finite data rate to represent the state and suffers from time-varying bounded network delay. Due to the unknown mode switch time and the unknown network delay, mode mismatch between the plant and the controller is unavoidable. By applying reachable set approximation and propagation approaches, this paper quantitatively investigates the effects of mode mismatch and model uncertainty on the system's stability and designs communication and control strategies to guarantee the desired stability. Moreover, it proposes some novel event-triggered sampling strategies, under which the required stabilizing bit rate can be lower than that required by traditional periodic sampling strategies. Simulations are done to verify the obtained results.