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Publication type: Article in scientific journal
Type of review: Peer review (publication)
Title: PID controller parameter tables for time-delayed systems optimized using hill-climbing
Authors: Büchi, Roland
et. al: No
DOI: 10.3390/signals3010010
Published in: Signals
Volume(Issue): 3
Issue: 1
Page(s): 146
Pages to: 156
Issue Date: Mar-2022
Publisher / Ed. Institution: MDPI
ISSN: 2624-6120
Language: English
Subjects: Control theory; Optimal parameter; ITAE; IAE; Hill-climbing; ISE; PID controller; PTn system; Artificial intelligence
Subject (DDC): 006: Special computer methods
510: Mathematics
Abstract: Several parameter tables for PID controllers are known from the literature, for the control of time-delayed systems. The best known is that of Ziegler and Nichols, but there are others also. In this publication, a parameter table is presented that minimizes the quality criteria IAE, ITAE and ISE for the control of time-delayed systems that can be identified with PTn systems. The controller output limitation is also taken into account. Since it is very computationally intensive to calculate these PID parameter sets, a well-known approach from the field of artificial intelligence was chosen. This was hill-climbing, which can find the parameter sets with much less computational effort than is needed for nested loops. With this method, the PID parameter tables for the minimized quality criteria were found and compared, each on the basis of many randomized starting parameter values. The application of the hill-climbing method shows rapid convergence. The parameters are discussed with two examples of time-delayed systems: a PT3 and a PT5. The results are regulated systems which show very good transient behavior. Furthermore, it is also possible to use the procedure presented for optimal PID parameters to control general, stable systems.
Fulltext version: Published version
License (according to publishing contract): CC BY 4.0: Attribution 4.0 International
Departement: School of Engineering
Organisational Unit: Institute of Mechatronic Systems (IMS)
Appears in collections:Publikationen School of Engineering

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