DYNAMIC OUTPUT FEEDBACK STABILIZATION OF CONTINUOUS-TIME SWITCHED SYSTEMS

This paper considers the closed-loop stabilization problem for continuous time linear switched system. The state variables are assumed to be not accessible so that the feedback strategy hinges on given output variables. The solution of this problem is based on the solution of suitable matrix inequalities for the construction of a full order switched filter and the derivation of the stabilization rule. The main theoretical basis is constituted by the so-called Lyapunov-Metzler inequalities which play a prominent role in the state-feedback stabilization of linear switched systems. Being nonconvex, a more conservative version of the inequalities, expressed in terms of linear matrix inequalities (LMI) plus a line search is given. The theoretical results are illustrated by means of an academic example.