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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access November 11, 2014

Single state feedback stabilization of unified chaotic systems and circuit implementation

Chun-Guo Jing, Ping He, Tao Fan, Yangmin Li, Changzhong Chen and Xin Song
From the journal Open Physics

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.

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Received: 2014-6-28
Accepted: 2014-9-5
Published Online: 2014-11-11

© 2015 P. He et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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