On observer design for a class of impulsive switched systems

In this work, the problem of state observation for a class of impulsive switched systems is addressed. Corresponding to each subsystem, an identity Luenberger observer is employed and a switching observer is constructed accordingly. The asymptotic stability property of the proposed switching observer is discussed and LMI-based algorithms are given which provide sufficient conditions for asymptotic stability of the switching observer for switching signals with an average dwell time greater than a specific value. Since switched systems without impulse are a special case of impulsive switched systems, the results of this work can be used to design observers for switched systems without impulse as well. Numerical examples are given to show the effectiveness of the proposed algorithms.