Feedback control of digital chaotic systems with application to pseudorandom number generator

Yashuang Deng (), Hanping Hu () and Lingfeng Liu ()
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Yashuang Deng: School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China
Hanping Hu: School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China
Lingfeng Liu: School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 02, 1-20

Abstract: The dynamical properties will degrade when chaotic systems are implemented in digital computers with finite precisions, and such degradation often has serious negative influence on some digital chaos-based systems. Degradation reduction for a class of digital chaotic systems is investigated in this paper. A varying parameter control method is proposed based on the state feedback control technology at first. Then two chaotic maps are applied to verify its validity. Finally, a novel pseudorandom number generator is constructed, which can pass all the tests of NIST SP800-22 at both level-one and level-two approaches and also most of the tests of TestU01. Moreover, it performs better than some existing pseudorandom number generators. Thus, it has acceptable quality of randomness and can be used for cryptography and other applications.

Keywords: Digital chaotic systems; dynamical degradation; feedback control; pseudorandom number generator; 11.25.Hf; 123.1K (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183115500229

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