In this paper, the model matching problem with pole and zero assignments based on state feedback is considered. In discrete-time systems, poles and zeros can be assigned by state feedback law using the 2-delay input control method. However, in continuous-time systems, it is well known that zeros cannot be assigned by state feedback law. Considering this situation, the model matching problem for multi-input continuous-time system is investigated. First, the control input channels are increased by using the dual observer. Then by using these increased input channels, the state feedback law is obtained to assign zeros to the desired locations while preserving the controllability of the closed loop system. On the other hand, pole assignment is achieved by state feedback via original input channels. Finally, in order to indicate the effectiveness of our proposed method, a design example of 3-mass spring system is given.
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