Event-triggered based energy-to-peak disturbance rejection for linear systems

This paper investigates the problem of event-based energy-to-peak disturbance rejection for linear systems. First, a state feedback controller is designed to guarantee the internal stability of the closed-loop system and achieve the energy-to-peak disturbance rejection performance. Then, an event scheme is designed, which guarantees that the closed-loop system with the event-triggered control is internally stable and has the energy-to-peak performance. Moreover, the corresponding self-triggered control is presented. Furthermore, the obtained results are extended to linear systems with parameter uncertainties. Finally, two simulation examples are given to illustrate the efficiency of the obtained results.