Output feedback control of discrete-time systems with self-triggered controllers

This paper is concerned with the self-triggered output feedback control for discrete-time systems, where an updating instants scheduler is implemented to determine when the controller is updated. For both the full-order and reduced-order observer cases, the updating instants are determined, respectively, where only the information of the estimated state at the current updating instant is required to obtain the next updating instant. It is shown that, with the proposed self-triggered control schemes, not only the updating frequency is significantly reduced, but also the uniform ultimate boundedness of the closed-loop system is guaranteed. Finally, a numerical example is used to verify the effectiveness and the merits of the proposed approaches.