Event-triggered Observers-based Output Feedback H∞ Control for Linear Time-invariant Systems with Quantization

This paper is concerned with the H∞ output feedback control for linear time-invariant (LTI) systems with the quantization to realize the operation optimization of a microgrid (MG). Meanwhile, a novel eventtriggered mechanism is introduced to reduce the number of control signals. Furthermore, a model of observer which is based on the event-triggered mechanism is proposed to verify the synchronization of LTI systems. Based on this model, a criteria which is derived from linear matrix inequalities (LMIs) is provided such that the system performance can be ensured. Finally, a numerical example is presented to illustrate the effectiveness of the results.