An output feedback switching controller for the stabilization of uncertain interval plants

Abstract

The robust stabilization problem for a family of linear uncertain interval plants is considered. The solution presented is based on switching control, and is constituted by a deterministic time-varying compensator (assuming a finite number of possible different configurations) and by a supervisor. Moreover, the entire switching procedure is made using only information of the output variable. An appealing feature of the proposed algorithm is that the phase of 'scanning' among the different configurations can be shortened with respect to existing algorithms, thus reducing the transient phase during which the system output may diverge because of destabilizing controllers applied. Part of the switching control scheme is based on variable structure control. The convergence of the switching algorithm has been theoretically proved.