Stabilization of delayed nonlinear systems via periodically intermittent event-triggered control

This article investigates the periodically intermittent event-triggered control (PIEC) for delayed nonlinear systems. The PIEC strategy, by means of introducing event-triggered strategy into periodically intermittent controller, is proposed to reduce the amount of communications while still preserving a satisfactory closed-loop performance. Some sufficient conditions are derived, which are incorporated into the controller design to determine the controller gain and the triggered parameters in a co-design case. The overall strategy ensures a global asymptotic stability for the closed-loop system and the existence of positive dwell time between two consecutive events. Therefore, Zeno behavior is excluded. Finally, the simulation example of Lu oscillator is given to verify the effectiveness of the theoretical results.