Event‐Triggered Feedback Control for Uncertain Switched Systems With Feedback Dropouts

ABSTRACT This article aims to stabilize switched systems with unknown model uncertainty and external disturbances under feedback dropouts and bounded network delay. To cope with the unknown model uncertainty and external disturbances, we introduce estimates of their respective bounds and design a novel algorithm to adaptively adjust these estimates once the system state escapes a designated quantization region. We show that under the proposed algorithm, the system may escape the quantization region several times but finally remains within it. Then considering the couple effects of dropouts, network delay, we develop novel communication and control schemes for the switched systems and derive some stabilizing results by constructing a mode‐dependent Lyapunov function. The results show that when the switching signal and the frequency of dropouts meet certain requirements, the desired stability of the switched system can be achieved. Moreover, we introduce a state estimation model, based on which event‐triggered control schemes are designed to reduce the occupied feedback bandwidth. And the effects of dropouts, network delay and model uncertainty on the occupied feedback bandwidth are investigated. It is proven that our event‐triggered control schemes can maintain the desired stability of the switched systems at a lower bit rate than conventional periodic sampling schemes.