一种具有隐藏吸引子、自适应反步控制和电路设计的四维混沌超跳系统

IF 1.2 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Archives of Control Sciences Pub Date : 2023-07-20 DOI:10.24425/123458

S. Vaidyanathan, Sajad Jafar, V. Pham, A. Azar, F. Alsaadi

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引用次数: 39

摘要

提出了一种具有四个二次非线性的新型四维混沌超跳系统。有趣的是，超跳系统不存在平衡。当混沌吸引子的吸引盆与系统平衡点的小邻域不相交时，我们称混沌吸引子为隐吸引子。因此，我们的新非平衡超跳系统具有一个隐藏的吸引子。系统中的混沌已在相图中被观察到，并用正李亚普诺夫指数进行了验证。针对具有隐藏吸引子的非平衡超跳系统的全局混沌控制问题，设计了自适应反步控制器。介绍了一种实现非平衡超跳系统的电子电路，验证了具有隐藏混沌吸引子的超跳系统的理论混沌模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A 4-D chaotic hyperjerk system with a hidden attractor, adaptive backstepping control and circuit design

A novel 4-D chaotic hyperjerk system with four quadratic nonlinearities is presented in this work. It is interesting that the hyperjerk system has no equilibrium. A chaotic attractor is said to be a hidden attractor when its basin of attraction has no intersection with small neighborhoods of equilibrium points of the system. Thus, our new non-equilibrium hyperjerk system possesses a hidden attractor. Chaos in the system has been observed in phase portraits and verified by positive Lyapunov exponents. Adaptive backstepping controller is designed for the global chaos control of the non-equilibrium hyperjerk system with a hidden attractor. An electronic circuit for realizing the non-equilibrium hyperjerk system is also introduced, which validates the theoretical chaotic model of the hyperjerk system with a hidden chaotic attractor.

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来源期刊

Archives of Control Sciences Mathematics-Modeling and Simulation

CiteScore

2.40

自引率

33.30%

发文量

审稿时长

14 weeks

期刊介绍： Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.