A Design of Pole Assignment Control Systemsfor a Discrete-Time Plant with White Noise

Abstract

Recently, a design of model matching and adaptive control systems under the presence of measurement noise is reported by employing a non-minimal order state observer. But this method can be only used for the case where the plant has a stable inverse. In this paper, we will show that the idea is also applicable for a nonminimum phase plant. We will consider the plant having not only measurement noise but also input noise. The freedom which arises by employing non-minimal order observer will be used for noise reduction. To clarify the degrees of freedom, a parametrization using an extended division algorithm will be shown.