Adaptive Feedback Control for a Class of Discrete Chaotic Systems

Abstract:

Discrete chaotic systems are more difficult to control than continuous chaotic systems. We discuss adaptive control scheme of continuous chaotic systems published in a series of papers, and study on how the convergence factor affects the convergence time and the property of final control strength by mathematical analysis and number simulations. Then we generalize it into discrete systems satisfying certain conditions and provide mathematical proof. The effect of convergence factor is emphasized. Finally, we apply the scheme to two discrete chaotic systems, which verify its effectiveness.

• Periodical: Advanced Materials Research (Volumes 712-715)
• Pages: 2791-2798
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.712-715.2791
• Online since: June 2013
• Authors: Fang Fang Zhang, Jin Xing, Hua Wen Zhao
• Keywords: Adaptive Control, Discrete Chaotic System, Fixed Point

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