Optimal fractional order PID controller design for fractional order systems by Stochastic Multi Parameter Divergence Optimization Method with different random distribution functions

A. Ates, B. B. Alagoz, Y.Q. Chen, C. Yeroglu, S. Hassan Hosseinnia

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

Abstract

This paper modifies Stochastic Multi Parameter Divergence Optimization Method (SMDO) by using some types of random distribution functions in order to show effects of different random distribution functions on optimization performance. SMDO is a parameter wise random search algorithm in random walk class. A prominent feature of SMDO method lies in using random number with standard uniform distribution while diverging a parameter of solution point in backward and forward directions to reach an optimal solution. SMDO method benefits from the success of random backward and forward divergences. This study investigates effects of four types of random distribution functions on performance of SMDO algorithm for controller tuning problem. These distributions are Chi-Square Distribution (CSD), Rayleigh Distribution (RD), Log Normal Distribution (LND) and Uniform random (UD) distribution. To illustrate effects of these random distribution functions, SMDO is employed to fractional order PID (FOPID) controller tuning problems for fractional order model (FOM) and results obtained for different distribution functions are demonstrated.

Original languageEnglish
Title of host publicationProceedings of the IEEE 7th International Conference on Control, Mechatronics and Automation, ICCMA 2019
Place of PublicationPiscataway, NJ, USA
PublisherIEEE
Pages9-14
ISBN (Electronic)978-1-7281-3787-2
DOIs
Publication statusPublished - 2019
Event7th IEEE International Conference on Control, Mechatronics and Automation, ICCMA 2019 - Delft, Netherlands
Duration: 6 Nov 20198 Nov 2019

Conference

Conference7th IEEE International Conference on Control, Mechatronics and Automation, ICCMA 2019
CountryNetherlands
CityDelft
Period6/11/198/11/19

Keywords

  • controller design
  • distribution functions
  • SMDO

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