Design of a fractional <inline-formula><tex-math id="M1">${\rm{P}}{{\rm{I}}^\lambda }{{\rm{D}}^\mu }$</tex-math></inline-formula> controller using the cohort intelligence method

Pritesh SHAH; Sudhir AGASHE; Anand J. KULKARNI

doi:10.1631/FITEE.1601495

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Design of a fractional

${\rm{P}}{{\rm{I}}^\lambda }{{\rm{D}}^\mu }$

controller using the cohort intelligence method

Regular Papers | Updated：2022-05-19

- Design of a fractional ${\rm{P}}{{\rm{I}}^\lambda }{{\rm{D}}^\mu }$ controller using the cohort intelligence method
- 基于队列智能方法的分数阶PI^λD^μ控制器设计
- Frontiers of Information Technology & Electronic Engineering Vol. 19, Issue 3, Pages: 437-445(2018)
- Affiliations：
  
  Symbiosis Institute of Technology, Symbiosis International University, Pune 412115, India
  Department of Instrumentation and Control Engineering, College of Engineering, Pune 411005, India
  Odette School of Business, University of Windsor, Windsor N9B3P4, Canada
- Author bio：
  
  Pritesh SHAH, E-mail: pritesh.ic@gmail.com
- Funds：
- DOI：10.1631/FITEE.1601495
  CLC： TP391
- Received：23 August 2016，
  
  Revised：2018-;3-10，
  
  Published：2018-03
- Accepted：
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Pritesh SHAH, Sudhir AGASHE, Anand J. KULKARNI. Design of a fractional ${\rm{P}}{{\rm{I}}^\lambda }{{\rm{D}}^\mu }$ controller using the cohort intelligence method[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(3): 437-445.
DOI：

Pritesh SHAH, Sudhir AGASHE, Anand J. KULKARNI. Design of a fractional ${\rm{P}}{{\rm{I}}^\lambda }{{\rm{D}}^\mu }$ controller using the cohort intelligence method[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(3): 437-445. DOI： 10.1631/FITEE.1601495.

摘要

近年来，队列智能方法逐步演变为一种基于人工智能的优化方法。本文首次采用队列智能方法对分数阶PID控制器的参数进行优化。验证了队列智能方法在分数阶PID控制器设计中的性能，并与其他方法如粒子群优化方法、遗传算法和改进的电磁算法等的性能进行比较。结果表明，与其它3种算法相比，队列智能方法在代价函数、计算时间和函数评估方面表现出更好性能。此外，队列智能方法对应的标准差表明，提出的方法在解决控制问题时具有鲁棒性。

Abstract

The cohort intelligence (CI) method has recently evolved as an optimization method based on artificial intelligence. We use the CI method for the first time to optimize the parameters of the fractional proportional-integral-derivative (PID) controller. The performance of the CI method in designing the fractional PID controller was validated and compared with those of some other popular algorithms such as particle swarm optimization

the genetic algorithm

and the improved electromagnetic algorithm. The CI method yielded improved solutions in terms of the cost function

computing time

and function evaluations in comparison with the other three algorithms. In addition

the standard deviations of the CI method demonstrated the robustness of the proposed algorithm in solving control problems.

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Keywords

references

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Design of a fractional ${\rm{P}}{{\rm{I}}^\lambda }{{\rm{D}}^\mu }$ controller using the cohort intelligence method

DOI：10.1631/FITEE.1601495

摘要

Abstract

关键词

Keywords

references