Relationship between deadbeat and pole-placement discrete-time PID controllers
Warwick, K. and Kang, Y. H. (1996) Relationship between deadbeat and pole-placement discrete-time PID controllers. Transactions of the Institute of Measurement and Control, 18 (5). pp. 262-266. ISSN 1477-0369
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To link to this article DOI: 10.1177/014233129601800504
This paper considers PID control in terms of its implementation by means of an ARMA plant model. Two controller actions are considered, namely pole placement and deadbeat, both being applied via a PID structure for the adaptive real-time control of an industrial level system. As well as looking at two controller types separately, a comparison is made between the forms and it is shown how, under certain circumstances, the two forms can be seen to be identical. It is shown how the pole-placement PID form does not in fact realise an action which is equivalent to the deadbeat controller, when all closed-loop poles are chosen to be at the origin of the z-plane.