Stability Conditions for Event-triggered Control Systems with Limited Bandwidth and Network Delay

This paper proposes a model-based event-triggered control strategy to reduce the occupation of network resources. We study the problems of the bounded network delay in event-triggered quantized feedback control systems. In order to avoid the Zeno behavior, an event-triggering condition is designed to ensure the asymptotic stability of the system and a lower bound of the stabilizing quantization bit rates is obtained. The updating strategy based on the time stamp is introduced, and the constraints on the network delay are given. Based on these conditions, an upper bound on the tolerable network delay is derived. Simulations are done to demonstrate the effectiveness of the control strategy proposed in this paper.