Dynamic event-triggered average dwell time control for switching linear systems

This paper concerns to an event-triggered control for switching linear systems. For reducing the data transmission amount of the communication network from sensor to controller, a switching-mode independent dynamic event-trigger (DET) is constructed wherein a positive constant and a positive auxiliary variable are simultaneously involved. Based on the received discrete-time state measurements, a mode-dependent feedback control law is proposed. Given some prior activation probabilities of switching signal, an average dwell time (ADT) based controller designed method is presented. It is proved that the closed-loop system achieves Zeno-free mean square bounded exponentially stable (MSBES). Significantly, the minimal event-triggered interval can be accurately given while the maximal event-triggered interval can be approximated. Numerical examples are provided to demonstrate the effectiveness of the proposed method.

Automated summary

This paper presents an event-triggered control method for switching linear systems. By constructing a switching-mode independent dynamic event-trigger method, the data transmission amount of the communication network can be reduced. A mode-dependent feedback control law is proposed based on the received discrete-time state measurements, and a controller design method based on average dwell time is used. It is proven that the closed-loop system achieves Zeno-free mean square bounded exponentially stable.