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Optimal fuzzy PID controller design for an active magnetic bearing system based on adaptive genetic algorithms†

Published online by Cambridge University Press:  04 September 2014

HUNG-CHENG CHEN
HUNG-CHENG CHEN*
Affiliation:
Department of Electrical Engineering, National Chin-Yi University of Technology, Taichung, Taiwan Email: hcchen@ncut.edu.tw
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Abstract

We propose an adaptive genetic algorithm (AGA) for the multi-objective optimisation design of a fuzzy PID controller and apply it to the control of an active magnetic bearing (AMB) system. Unlike PID controllers with fixed gains, a fuzzy PID controller is expressed in terms of fuzzy rules whose consequences employ analytical PID expressions. The PID gains are adaptive and the fuzzy PID controller has more flexibility and capability than conventional ones. Moreover, it can be easily used to develop a precise and fast control algorithm in an optimal design. An adaptive genetic algorithm is proposed to design the fuzzy PID controller. The centres of the triangular membership functions and the PID gains for all fuzzy control rules are selected as parameters to be determined. We also present a dynamic model of an AMB system for axial motion. The simulation results of this AMB system show that a fuzzy PID controller designed using the proposed AGA has good performance.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 24 , Special Issue 5: Mathematical Method in Intelligent Computing and Automation , October 2014 , e240516
Copyright
Copyright © Cambridge University Press 2014 

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Footnotes

†

This research was supported in part by the National Science Council of the Republic of China, under Grant Number NSC99-2622-E-167-023-CC3.

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