%0 Journal Article %T Matched Pole-Zero State-Space Model and Continuous-Time Properties %J Scientia Iranica %I Sharif University of Technology %Z 1026-3098 %A D. Markazi, Amir H. %D 2013 %\ 08/01/2013 %V 20 %N 4 %P 1193-1201 %! Matched Pole-Zero State-Space Model and Continuous-Time Properties %K Matched pole/zero %K Plant-input mapping (PIM) method %K Dis- cretization %K Digital redesign %K Sampled-data %R %X 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. %U https://scientiairanica.sharif.edu/article_3392_6215f1d41ff66a0bcf64a78d2f419ad6.pdf