Stability of event-triggered output-feedback control systems

This paper focus on the design of the event-triggered control when the full state can not be available. Firstly, an event-triggered control system with a static output-feedback controller is studied. An event condition based on the output error is proposed. The asymptotic stability of the resulting closed-loop system is guaranteed by a condition in terms of an LMI (Linear Matrix Inequality). By solving this LMI, we can design the event condition to obtain longer task periods. Moreover, a corresponding self-triggered control is provided. Furthermore, a state-feedback control system based on an event-triggered observer is researched, where the output of the plant is only transmitted to the observer when the event condition is violated. Conditions in terms of LMIs are derived to ensure the feedback control system as well as the observer error system asymptotic stability. Finally, numerical examples are worked out to illustrate the theoretical results.