Dual event-triggered control for linear systems with consecutive packet losses

This article investigates an event-triggered control for linear continuous-time systems by tolerating consecutive packet losses. Two event-triggers are, respectively, employed in the sensor-to-controller and controller-to-actuator channels in order to reduce the data transmission pressures. A simple discrete-time state feedback control law is proposed and the control command is only updated when the actuator successfully receives the command information. By the proposed method, the event-triggers are proved to be maintained or violated consecutively. The appropriate data sampling period and the maximal allowable packet loss numbers can be quantitatively determined. In addition, it is also proved that the event-trigger in controller-to-actuator may not be violated immediately with the event-trigger in sensor-to-actuator. The uniform ultimate bound of the closed-loop system can be achieved. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed method.