Characteristic polynomial assignment of 3D discrete systems using a canonical state space model

Abstract

In this paper the characteristic polynomial assignment (control) problem of single-input single-output (SISO), three dimensional (3D) discrete systems is considered. Two control laws are used for the solution of the above problem, the output feedback and the state feedback control. The output feedback control is a well known technique which unfortunately leads to very restrictive conditions between the coefficients of the closed-loop characteristic polynomial that can be achieved. A canonical state space model representing a given 3D transfer function, recently introduced, makes the state feedback control technique feasible for application. Use of the state feedback control method leads to less stringent conditions between the closed-loop characteristic polynomial coefficients. This advantage of the state versus output feedback control is more important in the case of higher order systems (involving a large number of characteristic polynomial coefficients).