Nonovershooting and nonundershooting linear multivariable state-feedback tracking controllers for discrete-time systems

Abstract

We consider the problem of obtaining a nonovershooting and nonundershooting step response for multivariable discrete-time systems. Recently Schmid and Ntogramatzidis [1]-[2] introduced a linear state feedback controller design method to avoid overshoot and undershoot. In this paper we offer methods to employ deadbeat modes in order to further improve the tracking control of discrete-time systems. Examples are given to show the method is applicable to systems with real nonminimum phase zeros.