Decentralized event-triggering for control of LTI systems

This paper considers Linear Time Invariant (LTI) control systems with full state feedback, a central controller and distributed sensors not co-located with the central controller. We present a methodology for designing decentralized asynchronous event-triggers, which utilize only locally available information, for determining the time instants of transmission from the sensors to the central controller. The proposed design guarantees a positive lower bound for the inter-transmission times of each sensor, while ensuring global asymptotic stability of the origin of the system. Additionally, the proposed decentralized asynchronous event-triggers are shown to preserve scale invariance of inter-transmission times. The proposed method is illustrated through simulations of a linear example.