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Stabilization of a Chaotic System Using Fuzzy Parallel Distributed

International Journal of System and Software Engineering

Volume 2 Issue 1

Published: 2014
Author(s) Name: Saeedeh Zare, Faridoon Shabaninia | Author(s) Affiliation: Shiraz University, Shiraz, Iran.
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Abstract

In this article a fuzzy controller is designed for a chaotic model whose structure is represented by the Takagi-Sugeno model. Using the T–S model of chaotic systems, the control algorithm is developed based on parallel distributed compensator concept and the Lyapunov method [1] is used to carry out stability analysis of a real system structure. In terms of PDC fuzzy control theory, the whole control sub-systems fuzzy control can be achieved by each subsystems control. The simulation results shows the effectiveness and feasibility of the method to stabilize a Lorenz system.

Keywords: Liapanoph, Takagi-Sugeno Fuzzy Model, Parallel Compensator, Fuzzy Controller, Parallel Distributed Controller (PDC)

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