Switching Between Finite-time Observers

In this paper, the problem of state observation for a continuous-time linear time-invariant (LTI) switched system is addressed. A finite-time observer (FTO) is employed for each subsystem and a switching observer is constructed accordingly. The finite convergence time property of the proposed switching observer is discussed and the exponential stability of the observation error is investigated. A linear matrix inequality (LMI)-based algorithm is given which provides conditions for the exponential stability of the switching observer when the switching signals have an average dwell time greater than a specific value. A numerical example is given to show the effectiveness of the proposed algorithm.