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Title: Adaptive sliding mode control for a class of chaotic systems

Abstract

Chaos control here means to design a controller that is able to mitigating or eliminating the chaos behavior of nonlinear systems that experiencing such phenomenon. In this paper, an Adaptive Sliding Mode Controller (ASMC) is presented based on Lyapunov stability theory. The well known Chua's circuit is chosen to be our case study in this paper. The study shows the effectiveness of the proposed adaptive sliding mode controller.

Authors:
; ;  [1]
  1. Menofia University, Faculty of Electronic Engineering, Department of Industrial Electronics and Control, Menuf, Menofia (Egypt)
Publication Date:
OSTI Identifier:
22391303
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1653; Journal Issue: 1; Conference: APMAS 2014: 4. International Congress in Advances in Applied Physics and Materials Science, Fethiye (Turkey), 24-27 Apr 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; DESIGN; LYAPUNOV METHOD; MITIGATION; MODE CONTROL; NONLINEAR PROBLEMS; STABILITY

Citation Formats

Farid, R., Ibrahim, A., and Zalam, B., E-mail: ramy5475@yahoo.com. Adaptive sliding mode control for a class of chaotic systems. United States: N. p., 2015. Web. doi:10.1063/1.4914229.
Farid, R., Ibrahim, A., & Zalam, B., E-mail: ramy5475@yahoo.com. Adaptive sliding mode control for a class of chaotic systems. United States. doi:10.1063/1.4914229.
Farid, R., Ibrahim, A., and Zalam, B., E-mail: ramy5475@yahoo.com. Mon . "Adaptive sliding mode control for a class of chaotic systems". United States. doi:10.1063/1.4914229.
@article{osti_22391303,
title = {Adaptive sliding mode control for a class of chaotic systems},
author = {Farid, R. and Ibrahim, A. and Zalam, B., E-mail: ramy5475@yahoo.com},
abstractNote = {Chaos control here means to design a controller that is able to mitigating or eliminating the chaos behavior of nonlinear systems that experiencing such phenomenon. In this paper, an Adaptive Sliding Mode Controller (ASMC) is presented based on Lyapunov stability theory. The well known Chua's circuit is chosen to be our case study in this paper. The study shows the effectiveness of the proposed adaptive sliding mode controller.},
doi = {10.1063/1.4914229},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1653,
place = {United States},
year = {Mon Mar 30 00:00:00 EDT 2015},
month = {Mon Mar 30 00:00:00 EDT 2015}
}