Dynamic Event-Triggered Optimal Control for Linear Systems with State Observer

In this paper, we present a dynamic event-triggered optimal control method based on state observer for linear systems. Firstly, combining with the minimum principle in optimal control theory, we obtain the optimal feedback control law of the systems by setting the minimum performance index of system state and observer error states. Moreover, we propose a feedback system and observer error system under event-triggered control. Furthermore, a dynamic event-triggered control method is proposed by introducing an internal dynamic variable and the asymptotic stability of the two systems is guaranteed by conditions linear matrix inequalities (LMIs). Finally, a simulation example shows the correctness and effectiveness of the method.