Pole-placement with constant gain output feedback

Abstract

Given a linear time-invariant controllable and observable multivariable system [xdot]=Aˆ+Bˆu, y=Cˆswith m inputs and p outputs, it is possible to assign max (m,p) poles of the system (Davison 1970, Davison and Chatterjee 1971) arbitrarily close to desired locations using constant gain output feedback. This paper provides a new proof of Davison's theorem on pole-placement and leads to a design procedure which has certain advantages over Davison's method. In some cases, more than max (m, p) poles can be assigned arbitrarily. Assuming the system is output stabilizable, a least square design technique is outlined to approximate the desired pole locations when it is not possible to place all the poles.