Event-driven communication for sampled-data control systems

In this paper, a sampled-data event detection strategy is proposed for linear continuous-time systems, whose output is sampled periodically to be tested for determining the transmission. Dynamic logic conditions are provided to characterize the asymptotic stability property for event-triggered control systems by defining discrete Lyapunov functions. State and output feedback control laws with event-driven communication are proposed such that the states of event based control systems converge to zero eventually, in the regulation setting. Some examples are presented which demonstrate the utility of this new definition.