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Research Article Open access CC BY 3.0

Design of Fractional Order Controllers Using Genetic Algorithms

Rahib H. Abiyev

Journal of Advances in Mathematics and Computer Science · pp. 2594–2602 · Published 2 Jul 2014

10.9734/BJMCS/2014/11540

Abstract

This paper presents the development of fractional order PIλDμ and fuzzy- controllers for control of dynamic plant. The fractional order derivative and integral are described. The designs of fractional order PIλDμ - and fuzzy controllers have been done. The parameters of fractional order controllers are turned using a real coded Genetic Algorithm (GA). The performances of the proposed control systems are illustrated through application examples. Fractional calculus has shown improvement in time response characteristics of feedback control system through the use of non-integer order derivatives and integrals.

Fuzzy controller fractional calculus feedback control.

References (8)

  1. 1 Fractional Differential Equations [DOI]
  2. 2 Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers [DOI]
  3. 3 The Fractional Calculus - Theory and Applications of Differentiation and Integration to Arbitrary Order [DOI]
  4. 4 Fractional order control - A tutorial [DOI]
  5. 5 From Differences to Derivatives
  6. 6 Fractional Integration and Differentiation [DOI]
  7. 7 Comparative study of fuzzy integer and fractional PID controller [DOI]
  8. 8 Genetic Algorithm Synthesis of the Industrial Controllers [DOI]

Cited by 2

Bridge-Ship Collision Avoidance Control Based on AFSMC with a FRNN Estimator

Qiong-Lin Fang, Enguang Cao · Mathematical Problems in Engineering · 2021

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