Title: Adaptive fuzzy parameter scheduling scheme for GSA based optimal proportional integral derivative and lag-lead control of a DC attraction type levitation system

Authors: Mrinal Kanti Sarkar; Subrata Banerjee; Sakti Prasad Ghoshal; Tapas Kumar Saha

Addresses: Department of Electrical Engineering, National Institute of Technology, 713209 Durgapur, West Bengal, India ' Department of Electrical Engineering, National Institute of Technology, 713209 Durgapur, West Bengal, India ' Department of Electrical Engineering, National Institute of Technology, 713209 Durgapur, West Bengal, India ' Department of Electrical Engineering, National Institute of Technology, 713209 Durgapur, West Bengal, India

Abstract: Magnetic levitation system is inherently unstable and strongly nonlinear in nature. Fixed optimal gain controllers designed at some nominal operating conditions fail to provide the best control performance over a wide range of off-nominal operating conditions. In this paper, an adaptive fuzzy parameter scheduling scheme for Gravitational Search Algorithm (GSA) based optimal Proportional Integral Derivative (PID) and Lag-Lead controllers has been proposed to control a single actuator based DC Attraction type Levitation System (DCALS). A Takagi-Sugeno (T-S) fuzzy inference system is used in the proposed controllers. The inference system is extremely well suited to the task of smoothly interpolating linear gains across the input space when a strongly non-linear DCALS moves around in its operating space. Simulation results show that both proposed adaptive fuzzy PID and Lag-Lead controllers offer better performance than fixed gain controllers at different operating conditions.

Keywords: magnetic levitation; adaptive control; GSA; gravitational search algorithm; T-S fuzzy logic; PID control; lag-lead control; optimal control; tracking performance; fuzzy parameter scheduling; DC attraction type levitation system; Takagi-Sugeno fuzzy inference.

DOI: 10.1504/IJAAC.2012.048655

International Journal of Automation and Control, 2012 Vol.6 No.2, pp.174 - 192

Received: 04 Feb 2012
Accepted: 10 Feb 2012
Published online: 07 Nov 2014 *

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