Output feedback stabilization of positive switching linear discrete-time systems

The problem of stabilizing positive switching discrete-time systems by output feedback is studied and solved in this paper. First, necessary and sufficient conditions for the existence of such controllers are presented for non-switching positive systems, which are then extended to positive switching systems. The proposed conditions, formulated as LMIs, can be directly used for controller synthesis. An example made up of three subsystems is studied to show the applicability of the proposed technique.