Observer-based event-triggered H∞ control for switched delay systems with nonlinear perturbation

The observer-based event-triggered H-infinity control for switched systems is studied. The system researched is affected by external disturbance, nonlinear perturbation and time delay, which helps expand the application range of switched system theory. First, to alleviate the high cost or difficulty of obtaining the system state, we construct an improved state observer, which echoes the structure of the considered system. Then, based on the observed state, we adopt a general event-triggered strategy (ETS) to save resources and give a proof of excluding the Zeno phenomenon. Next, using the mode-dependent average dwell time (MADT) and the Lyapunov-Krasovskii functional, the sufficient criteria for the system with H-infinity performance are obtained. With the singular value decomposition (SVD) of column-full rank matrix, the observer gains, the controller gains, and the event-triggered parameter matrices are co-designed. Finally, a simulation example is implemented to demonstrate the value of this paper.