Zero Assignment using a Dual Observer

Abstract

The zero assignment is significant one among remarkable control synthesis problems. For example, this problem can be formulated as the model matching problem which attains the desired input-output characteristic or the improvement of transient response of closed loop system. In discrete-time systems, poles and zeros can be assigned by state feedback law using 2-delay input control. However, in continuous-time systems, it is well known that zeros cannot be assigned by the state feedback control law. Taking into account this situation, in this paper, a design method which can assign zeros of control system by the state feedback using a dual observer is proposed. It is noted that the number of control inputs is increased by the number of assignable zeros in the dual observer synthesis. Following this procedure in the state feedback control synthesis through the increased control channel, zero assignment can be attained.