Event-Triggered $H_{\infty}$ Observer of Switched Linear Systems

In this paper, the problem of event-triggered
$H_{\infty}$
observer for continuous-time switched linear systems is analyzed, which is affected by unknown but bounded additional disturbance and measurement noise. First, a mode dependent event-triggered sampling scheme is proposed. Then, sufficient conditions for the exponential stability and weighted
$H_{\infty}$
performance of the observer error system under average dwell time are derived by applying observer-mode-dependent Lyapunov function. In addition, the existence of lower bound on interevent intervals is mindfully discussed, which rules out the Zeno behavior. Finally, the effectiveness of this method is verified by numerical simulation.