Abstract
A design method based on the moments of an impulse response is proposed in this paper. The moments of an impulse response are known as a means for characterizing the dynamics of the system; for example, delay time and rise time can be defined by moments of an impulse response provided that the inditial response of the system is monotonic rise function. We consider the design problem that the moments of a closed-loop system are matched with the corresponding moments of the reference model with a desirable transfer function. The relation between moments of an impulse response and coefficients of a characteristic equation in closed-loop has been derived. Based on the relation, we can select a closed-loop system with a desirable placement of the poles between closed-loop systems which satisfy the specifications of moments. The parameters of the compensator which achieve such a property can be easily determined by solving the linear equation. Several examples are givn to illustrate the design procedures.
