Robust Output Regulation of Linear Systems by Event-Triggered Dynamic Output Feedback Control

In this article, we study the robust output regulation problem of linear systems by an event-triggered output feedback control law. We first summarize the solvability of the linear robust output regulation problem by the internal model design. Then, we implement this continuous-time control law by an event-triggered output feedback control law together with an output-based triggering mechanism. We show that, under almost the same solvability conditions as those for the linear robust output regulation problem, the robust output regulation problem can also be solved by an event-triggered output feedback control law without incurring Zeno phenomenon. Furthermore, we show that, it is possible to solve the robust output regulation problem practically while preventing the interevent time from approaching zero as time tends to infinity.

Automated summary

In this article, the robust output regulation problem of linear systems is studied using an event-triggered output feedback control law, which is implemented through an output-based triggering mechanism. The solvability of the problem is summarized by internal model design, and it is shown that solving the problem with an event-triggered control law does not lead to the Zeno phenomenon and prevents the interevent time from approaching zero as time tends to infinity.