Department of Electrical Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran.
Future Technology Research Center, National Yunlin University of Science and Technology, Douliou, Yunlin, R.O.C.
Sci Prog. 2021 Jan-Mar;104(1):368504211003388. doi: 10.1177/00368504211003388.
This paper proposes a novel exponential hyper-chaotic system with complex dynamic behaviors. It also analyzes the chaotic attractor, bifurcation diagram, equilibrium points, Poincare map, Kaplan-Yorke dimension, and Lyapunov exponent behaviors. A fast terminal sliding mode control scheme is then designed to ensure the fast synchronization and stability of the new exponential hyper-chaotic system. Stability analysis was performed using the Lyapunov stability theory. One of the main features of the proposed controller is the finite time stability of the terminal sliding surface designed with high-order power function of error and derivative of error. The approach was implemented for image cryptosystem. Color image encryption was carried out to confirm the performance of the new hyper-chaotic system. For image encryption, the DNA encryption-based RGB algorithm was used. Performance assessment of the proposed approach confirmed the ability of the proposed hyper-chaotic system to increase the security of image encryption.
本文提出了一种具有复杂动力学行为的新型指数超混沌系统。还分析了混沌吸引子、分岔图、平衡点、庞加莱映射、Kaplan-Yorke 维数和 Lyapunov 指数行为。然后设计了一种快速终端滑模控制方案，以确保新的指数超混沌系统的快速同步和稳定性。稳定性分析采用 Lyapunov 稳定性理论。所提出的控制器的主要特点之一是基于误差和误差导数的高阶幂函数设计的终端滑动面的有限时间稳定性。该方法应用于图像密码系统。进行彩色图像加密以确认新超混沌系统的性能。对于图像加密，使用基于 DNA 加密的 RGB 算法。所提出方法的性能评估证实了所提出的超混沌系统提高图像加密安全性的能力。
