Systematic methodology for stabilization of uncertain linear non-minimum-phase systems via output feedback

This paper addresses a unified method to robustly stabilize uncertain non-minimum-phase linear systems via output feedback. We firstly prove that, for any non-minimum-phase linear system, there always exists a realizable linear dynamics such that the series system can be transformed to a certain interconnection form. Then, based on an output feedback control law for stabilization of a related minimum phase system in the special interconnection form, we propose an output feedback controller to robustly stabilize the interconnection system. Finally, the proposed method is illustrated by numerical simulations.