Decentralized integral-based event-triggered stabilization for linear plant with actuator saturation and output feedback

This paper studies the integral-based event-triggered asymptotic stabilization for a continuous-time linear plant. Both actuator saturation and observer-based output feedback are considered. The sensors and actuators are implemented in a decentralized manner and a type of Zeno-free decentralized integral-based event condition is designed to guarantee the asymptotic stability of the closed-loop systems. The positive lower bound of inter-event times is guaranteed by enforcing the event conditions not to be triggered until some fixed intervals. A linear optimization problem is introduced to find the largest stability region. Moreover, the co-design of the parameters in event conditions and the controller gain matrices is proposed in terms of linear matrix inequalities. Finally, two numerical examples are given to illustrate the efficiency and the feasibility of the proposed results.