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research-article

An Adaptive Fuzzy Hinfinity Synergetic Approach to Robust Control

[+] Author and Article Information
Lemya Medjbeur

QUERE Laboratory, Electrical Engineering Department, Ferhat Abbas University of Sétif1, Algeria
lemya_medjbeur@yahoo.fr

M. N. Harmas

QUERE Laboratory, Electrical Engineering Department, Ferhat Abbas University of Sétif1, Algeria
mharmas@yahoo.fr

Said Benaggoune

LRE Laboratoire des systèmes de traction électrique, Hadj Lakhdar University of Batna, Algeria
s_benaggoune@yahoo.fr

Khaled Zehar

Department of Electrical and Electronic Engineering, Bahrain University
kzehar@uob.edu.bh

1Corresponding author.

ASME doi:10.1115/1.4037330 History: Received February 05, 2016; Revised June 29, 2017

Abstract

Robust control often requires some adaptive approach in evaluating systems dynamics to handle parameters variations and external disturbances. Therefore, an error due to dynamics approximation is inevitably added to uncertainties already present in the model. This issue is addressed in this paper, through the combination of two robust techniques, Hinf and synergetic control. These latter are used to insure reducing tracking error in the overall closed loop system while guaranteeing stability via Lyapounov synthesis. With the aim of handling parameters variations, an indirect adaptive fuzzy scheme is used to elaborate system model. Simulation studies are conducted to assess the proposed approach on two systems and results are compared to a sliding mode PI based technique. It is to be noted that a large class of systems depicted as control affine systems will be considered in this paper. An induction motor and an inverted pendulum representing respectively a linear and a nonlinear system are utilized in this study showing improvement of the suggested approach, in overall performance over its sliding mode control counterpart.

Copyright (c) 2017 by ASME
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