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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Feng, Jonathan

Managing Editor: Lesna-Szreter, Paulina

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Open Access
Online
ISSN
2391-5471
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Volume 13, Issue 1 (Nov 2014)

Issues

Single state feedback stabilization of unified chaotic systems and circuit implementation

Chun-Guo Jing
  • School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110819, People’s Republic of China
  • School of Computer and Communication Engineering, Northeastern University, Qinhuangdao, Hebei, 066004, People’s Republic of China
/ Ping He
  • Corresponding author
  • School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110819, People’s Republic of China
  • Department of Electromechanical Engineering, Faculty of Science and Technology, University of Macau, Taipa, 999078, Macao Special Administrative Region
  • Email:
/ Tao Fan
  • School of Automation and Electronic Information, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, People’s Republic of China
  • Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, People’s Republic of China
/ Yangmin Li
  • Department of Electromechanical Engineering, Faculty of Science and Technology, University of Macau, Taipa, 999078, Macao Special Administrative Region
/ Changzhong Chen
  • School of Automation and Electronic Information, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, People’s Republic of China
  • Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, People’s Republic of China
/ Xin Song
  • School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110819, People’s Republic of China
  • School of Computer and Communication Engineering, Northeastern University, Qinhuangdao, Hebei, 066004, People’s Republic of China
Published Online: 2014-11-11 | DOI: https://doi.org/10.1515/phys-2015-0015

Abstract

This paper focuses on the single state feedback stabilization problem of unified chaotic system and circuit implementation. Some stabilization conditions will be derived via the single state feedback control scheme. The robust performance of controlled unified chaotic systems with uncertain parameter will be investigated based on maximum and minimum analysis of uncertain parameter, the robust controller which only requires information of a state of the system is proposed and the controller is linear. Both the unified chaotic system and the designed controller are synthesized and implemented by an analog electronic circuit which is simpler because only three variable resistors are required to be adjusted. The numerical simulation and control in MATLAB/Simulink is then provided to show the effectiveness and feasibility of the proposed method which is robust against some uncertainties. The results presented in this paper improve and generalize the corresponding results of recent works.

Keywords : unified chaotic system; single state feedback control; robust stabilization; circuit implementation

PACS : 05.45.Gg; 02.30.Yy; 84.30.-r

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About the article

Received: 2014-06-28

Accepted: 2014-09-05

Published Online: 2014-11-11


Citation Information: Open Physics, ISSN (Online) 2391-5471, DOI: https://doi.org/10.1515/phys-2015-0015. Export Citation

© 2015 P. He et al.. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

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