Table of Contents Author Guidelines Submit a Manuscript
The Scientific World Journal
Volume 2014, Article ID 171597, 7 pages
http://dx.doi.org/10.1155/2014/171597
Research Article

Robust Fuzzy Logic Stabilization with Disturbance Elimination

1Department of Control & Mechatronics Engineering, Faculty of Electrical Engineering, Universiti Teknologi Malaysia, UTM Skudai, 81310 Johor, Malaysia
2UTM Centre for Industrial and Applied Mathematics, Universiti Teknologi Malaysia, UTM Skudai, 81310 Johor, Malaysia

Received 18 June 2014; Accepted 20 July 2014; Published 6 August 2014

Academic Editor: Bijan Davvaz

Copyright © 2014 Kumeresan A. Danapalasingam. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A robust fuzzy logic controller is proposed for stabilization and disturbance rejection in nonlinear control systems of a particular type. The dynamic feedback controller is designed as a combination of a control law that compensates for nonlinear terms in a control system and a dynamic fuzzy logic controller that addresses unknown model uncertainties and an unmeasured disturbance. Since it is challenging to derive a highly accurate mathematical model, the proposed controller requires only nominal functions of a control system. In this paper, a mathematical derivation is carried out to prove that the controller is able to achieve asymptotic stability by processing state measurements. Robustness here refers to the ability of the controller to asymptotically steer the state vector towards the origin in the presence of model uncertainties and a disturbance input. Simulation results of the robust fuzzy logic controller application in a magnetic levitation system demonstrate the feasibility of the control design.