Fopid Controller Design for Robust Performance Using Particle Swarm Optimization

Zamani, Majid; Karimi-Ghartemani, Masoud; Sadati, Nasser

Fractional Calculus and Applied Analysis (2007)

  • Volume: 10, Issue: 2, page 169-187
  • ISSN: 1311-0454

Abstract

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Mathematics Subject Classification: 26A33; 93C15, 93C55, 93B36, 93B35, 93B51; 03B42; 70Q05; 49N05This paper proposes a novel method to design an H∞ -optimal fractional order PID (FOPID) controller with ability to control the transient, steady-state response and stability margins characteristics. The method uses particle swarm optimization algorithm and operates based on minimizing a general cost function. Minimization of the cost function is carried out subject to the H∞ -norm; this norm is also included in the cost function to achieve its lower value. The method is applied to a phase-locked-loop motor speed system and an electromagnetic suspension system as two examples to illustrate the design procedure and verify performance of the proposed controller. The results show that the proposed method is capable of improving system responses as compared to the conventional H∞ -optimal controller while still maintains the H∞ -optimality of the solutions.

How to cite

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Zamani, Majid, Karimi-Ghartemani, Masoud, and Sadati, Nasser. "Fopid Controller Design for Robust Performance Using Particle Swarm Optimization." Fractional Calculus and Applied Analysis 10.2 (2007): 169-187. <http://eudml.org/doc/11326>.

@article{Zamani2007,
abstract = {Mathematics Subject Classification: 26A33; 93C15, 93C55, 93B36, 93B35, 93B51; 03B42; 70Q05; 49N05This paper proposes a novel method to design an H∞ -optimal fractional order PID (FOPID) controller with ability to control the transient, steady-state response and stability margins characteristics. The method uses particle swarm optimization algorithm and operates based on minimizing a general cost function. Minimization of the cost function is carried out subject to the H∞ -norm; this norm is also included in the cost function to achieve its lower value. The method is applied to a phase-locked-loop motor speed system and an electromagnetic suspension system as two examples to illustrate the design procedure and verify performance of the proposed controller. The results show that the proposed method is capable of improving system responses as compared to the conventional H∞ -optimal controller while still maintains the H∞ -optimality of the solutions.},
author = {Zamani, Majid, Karimi-Ghartemani, Masoud, Sadati, Nasser},
journal = {Fractional Calculus and Applied Analysis},
keywords = {26A33; 93C15; 93C55; 93B36; 93B35; 93B51; 03B42; 70Q05; 49N05},
language = {eng},
number = {2},
pages = {169-187},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Fopid Controller Design for Robust Performance Using Particle Swarm Optimization},
url = {http://eudml.org/doc/11326},
volume = {10},
year = {2007},
}

TY - JOUR
AU - Zamani, Majid
AU - Karimi-Ghartemani, Masoud
AU - Sadati, Nasser
TI - Fopid Controller Design for Robust Performance Using Particle Swarm Optimization
JO - Fractional Calculus and Applied Analysis
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 10
IS - 2
SP - 169
EP - 187
AB - Mathematics Subject Classification: 26A33; 93C15, 93C55, 93B36, 93B35, 93B51; 03B42; 70Q05; 49N05This paper proposes a novel method to design an H∞ -optimal fractional order PID (FOPID) controller with ability to control the transient, steady-state response and stability margins characteristics. The method uses particle swarm optimization algorithm and operates based on minimizing a general cost function. Minimization of the cost function is carried out subject to the H∞ -norm; this norm is also included in the cost function to achieve its lower value. The method is applied to a phase-locked-loop motor speed system and an electromagnetic suspension system as two examples to illustrate the design procedure and verify performance of the proposed controller. The results show that the proposed method is capable of improving system responses as compared to the conventional H∞ -optimal controller while still maintains the H∞ -optimality of the solutions.
LA - eng
KW - 26A33; 93C15; 93C55; 93B36; 93B35; 93B51; 03B42; 70Q05; 49N05
UR - http://eudml.org/doc/11326
ER -

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