Title: Using fuzzy logic for eliminating the reaching phase on the fuzzy H∞ tracking control

Authors: El Mehdi Mellouli; Jaouad Boumhidi; Ismail Boumhidi

Addresses: Department of Physics, LESSI Laboratory, Faculty of Sciences Dhar El Mehraz, University Sidi Mohamed Ben Abdellah, B.P. 1796, 30000 FES-Atlas, Morocco ' Department of Informatics, LIAAN Laboratory, Faculty of Sciences Dhar El Mehraz, University Sidi Mohamed Ben Abdellah, B.P. 1796, 30000 FES-Atlas, Morocco ' Department of Physics, LESSI Laboratory, Faculty of Sciences Dhar El Mehraz, University Sidi Mohamed Ben Abdellah, B.P. 1796, 30000 FES-Atlas, Morocco

Abstract: In this paper, we present a novel H∞ tracking-based indirect adaptive fuzzy controller for a class of perturbed uncertain affine non-linear systems involving external disturbances. To eliminate the tradeoffs between the H∞ tracking performance and the high gain at the control input, we have introduced a new fuzzy method to eliminate the reaching phase; the approach is based on the modification of the output tracking error through the use of exponential functions. The stability and effectiveness of the proposed method are proved and the simulation is given to demonstrate the superiority of the proposed approach in comparison with the previous ones, in terms of settling time, tracking accuracy, energy consumption and smoothness of the control input.

Keywords: fuzzy identification; fuzzy control; reaching phase; fuzzy logic; H-infinity control; indirect control; adaptive control; nonlinear control; tracking control; external disturbances; settling time; tracking accuracy; energy consumption; control input.

DOI: 10.1504/IJMIC.2013.057573

International Journal of Modelling, Identification and Control, 2013 Vol.20 No.4, pp.398 - 406

Available online: 13 Nov 2013 *

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