@ARTICLE{
:/content/journals/10.1049/ip-cta_20020469,
author = {C.A. Rabbath},
author = {N. Hori},
keywords = {closed-loop system;continuous-time systems;hold-equivalent discrete-time model;matched pole-zero discretisation;observability;digital simulations;structural interpretation;state-space formulation;controllability;sampled-data loops;time-domain properties;},
ISSN = {1350-2379},
language = {English},
abstract = {The paper deals with matched pole–zero discretisation, which has been used in practice for hand calculations in the digital redesign of continuous-time systems but available only in the transfer-function form. Since this form is inconvenient for characterising the time-domain properties of sampled-data loops and for computerising the design of such systems, a state–space formulation is developed. Under the new interpretation, the matched pole–zero model is shown to be structurally identical to a hold-equivalent discrete-time model, where the generalised hold takes integral part, thus unifying the most widely used discretisation approaches. An algorithm for obtaining the generalised hold function is presented. The hold-equivalent structure of the matched pole–zero model clarifies several discrete-time system properties, such as controllability and observability, and their preservation or loss with a matched pole–zero discretisation. With the proposed formulation, the matched pole–zero, hold-equivalent, and mapping models can now all be constructed with a single schematic model. This is of considerable practical importance in digital redesign, especially with the so-called plant-input mapping methods which use the matched pole–zero discretisation of the closed-loop system, and in digital simulations performed with a block-diagram language.},
title = {Structural interpretation of matched pole–zero discretisation},
journal = {IEE Proceedings - Control Theory and Applications},
issue = {4},
volume = {149},
year = {2002},
month = {July},
pages = {257-262(5)},
publisher ={},
copyright = {© IEE},
url = {https://digital-library.theiet.org/;jsessionid=2annhheeeqdcw.x-iet-live-01content/journals/10.1049/ip-cta_20020469}
}