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Observer-based switched control design for discrete-time switched systems

In this paper, we consider switched linear discrete-time systems. We propose a method to design an observer-based switched control which guarantees that the switched system is asymptotically stable. The main result consists in proving a separation principle for linear discrete-time switched systems. Hence, the design of the switched state feedback control and the switched observer can be carried out independently. Such a design is formulated in terms of Linear Matrix Inequalities (LMI).