Event-triggered state observer for continuous-time switched systems with external disturbances

This paper studies the problem of event-triggered state observer design for switched linear systems with external disturbances. To reduce resource consumption and waste, we consider that the output information of the system is only obtained by the observer when the event is triggered. First, we review the periodic event-triggered strategy and use it to determine the discrete measurement time points of the output information. Specifically, the event-triggered sampling condition is detected according to the h period. Once the preset trigger condition is met, the event is triggered immediately, that is, the output information at this time is passed to the observer. Then we build the sampled observation error system and analyse its stability and $ {H}_{\infty } $ H∞ performance by the method of multiple piecewise Lyapunov function. The corresponding solvability criteria for the event-triggered state observer are formulated. Finally, two examples are provided to show the validity of the results.