Tuning PID and PI λ D δ controllers using particle swarm optimization algorithm via El-Khazali's approach

Shaher Momani, Reyad El-Khazali, Iqbal M. Batiha

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

18 Scopus citations

Abstract

The major goal of this paper is to tune PID and PIλDδ controllers using Particle Swarm Optimization (PSO) algorithm via El-Khazali's approach. This is the first time that such a method is employed for meeting this problem. El-Khazali's approach is, usually, used to approximate fractional-order Laplacian operators of order α; s±α, 0 < α ≤ 1, by finite-order rational transfer functions. The significance of this approach lies in developing an algorithm that depends only on α, which enables one to synthesize both fractional-order inductors and capacitors. To illustrate the proposed design method, an objective function is presented as well as the results of using the PIλDδ controller are compared with the results of using the conventional PID controller to minimize several error functions; ITAE, IAE, ISE and ITSE. These results of such comparisons that are related to step response specifications, allow us to see the effectiveness of the best controller.

Original languageBritish English
Title of host publicationProceedings of the 45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019
EditorsVesela Pasheva, Nedyu Popivanov, George Venkov
ISBN (Electronic)9780735419193
DOIs
StatePublished - 13 Nov 2019
Event45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019 - Sozopol, Bulgaria
Duration: 7 Jun 201913 Jun 2019

Publication series

NameAIP Conference Proceedings
Volume2172
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019
Country/TerritoryBulgaria
CitySozopol
Period7/06/1913/06/19

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