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Optimized event-triggered control for linear systems with state observer

In this paper, an optimal event-triggered control method based on observer for linear systems is proposed. In order to reduce resource consumption and computing cost, we propose an event-triggered strategy, a linear state observer based on event-triggered mechanism is designed. Using the event-based strategy, the signal transmitting and controller updating occur in an aperiodic manner. It is proved that the linear system using the event-triggered optimal control strategy is asymptotically stable and the event-triggered method can avoid the existence of Zeno behavior. Simulation results have proved the effectiveness of the proposed method.