Output Feedback Control for Discrete-Time Linear Systems by Using Luenberger Observers Under Unknown Switching

This note deals with the problem of the design of observer-based controllers for linear switching systems without having at disposal the current knowledge of the switching mode. An estimate of switching mode is obtained by using a moving-horizon estimator and used in a output feedback scheme with a Luenberger observer and a controller fed with the state estimated by such an observer. Conditions for the stability of the proposed control scheme are presented that can be expressed in terms of linear matrix inequalities. Simulation results show the effectiveness of the approach as for both estimation method and stabilization capability.