The first general output feedback compensator that can implement state feedback control

Abstract

All existing general output feedback compensators (OFC) cannot generate a state feedback control signal Kx (t) where K is a constant and x (t) is the plant system state. This paper presents a simple and systematic design of a new OFC which is applicable for all observable plants with either more outputs than inputs or at least one stable transmission zero (or for most observable plants). This new OFC can generate signal Kx (t) where K = KC and where K is a free OFC parameter while C is predetermined by the design of the dynamic part of OFC. This Kx (t) is compatible with static output feedback (SOF) control signal KyCx (t) where Ky is free and C is given. Furthermore, because therank of C is maximized by our design and ranges between the plant system order and the rank of C, this new OFC can completely unify the existing result of OFC which estimates x(t) and the existing result of SOF. These two existing results were far from being unified before.