Set-point output tracking problem for linear plants via periodic event-triggered control

This study addresses event-triggered tracking control for linear systems with constant reference signals anddisturbances. A remote observer-based proportional-integral controller, which communicates with the plant only at somediscrete instants, is designed. The transmissions, involving both the sensor-to-controller and the controller-to-actuator channels,are scheduled by periodic event-triggered control. A new kind of summation-based triggering condition is proposed which canensure that there exists a positive minimum inter-event time uniformly for a family of controllers parameterised by the verificationperiods. Then, it is proved that the proposed periodic event-triggered control can solve the set-point tracking problemasymptotically without the assumption that the reference signal is accessible to the sensor. Finally, simulation results areprovided to illustrate the efficiency and feasibility of the obtained results.