Dynamic output-feedback control for linear systems by using event-triggered quantisation

This study investigates dynamic output-feedback control for linear systems by using an event-triggered output-feedback with quantisation. The event-triggering scheme is considered both in an event-driven sampling case and the case of periodic event-triggered transmission based on periodical verification of the event condition. A hybrid system model as well as a time delay model are developed for the two event schemes, respectively, to facilitate analysis and design. To obtain an asymptotical stability performance, the quantiser utilised is logarithmic and of infinite level. For the two design methods, conditions to guarantee the asymptotic stability of the closed-loop systems are established in terms of linear matrix inequalities, and the explicit expressions of the dynamic controller are given. Numerical examples are given to show the feasibility and efficiency of the theoretical results.