فهرست نشریات علمی دسترسی آزاد ایران

The matched pole-zero (MPZ) model is a widely used technique for discrete- time approximation of continuous-time controllers. In this article a new state- space representation for the (MPZ) model is presented. The new formulation can be used for direct discretization of state-space controllers, and can be eas- ily automated on a digital computer. The most important advantage of the proposed representation is that it preserves the dynamic structure of the orig- inal continuous-time realization, i.e., the physical meaning of the states and the direction of eigenvectors remain unchanged. In fact, the new method pro- vides, exactly, the same dynamic state equations as the step-invariant model, together with some modifications on the static output state equation. Up to now, due to the lack of such an eigenstructure-preserving state- space representations, most of the time domain studies on the effects of dis- crete approximation of analog controllers were mostly performed using the step-invariant model, although that method is seldom used for actual dis- cretization of controllers. The new formulation, paves the way for extending those studies to the case of the more widely used MPZ method.