A new view to Ziegler-Nichols step response tuning method: Analytic non-fragility justification

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Bahavarnia, M

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Type of Document: Article
DOI: 10.1016/j.jprocont.2012.10.012
Publisher: 2013
Abstract:
Recently, exploiting the centroids of stability regions (admissible regions) to be used in tuning two-parameter controllers has been considered as an approach to obtain non-fragile two-parameter controllers. Such an approach can be extended for three-dimensional stability spaces (admissible spaces) by considering the center of mass of these spaces in tuning three-parameter controllers. In this paper, the mentioned approach is used to tune PID controllers for controlling integrator plus dead-time (IPDT) and first order plus dead-time (FOPDT) processes. It is shown that the tuning method resulted from this approach is very similar to the Ziegler-Nichols step response tuning method. Consequently, this paper presents an analytic non-fragility justification for the mentioned tuning method
Keywords:
First order plus dead-time (FOPDT) process ; Integrator plus dead-time (IPDT) process ; Ziegler-Nichols step response tuning method ; Centroid ; Deadtime ; Non-fragility ; PID ; Tuning method ; Three term control systems ; Step response
Source: Journal of Process Control ; Volume 23, Issue 1 , 2013 , Pages 23-33 ; 09591524 (ISSN)
URL: http://www.sciencedirect.com/science/article/pii/S0959152412002429