采用滑模控制技术的分数阶rabinoich - fabrikant系统同步

IF 1.1 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Archives of Control Sciences Pub Date : 2023-07-20 DOI:10.24425/acs.2019.129384

Sanjay Kumar, Chaman Singh, S. Prasad, CHANDRA SHEKHAR, R. Aggarwal

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引用次数: 3

摘要

在这篇研究文章中，我们提出了分数阶动力系统的概念和分数阶混沌动力系统的同步方法，采用滑模控制技术。我们分析了分数阶rabinovitch - fabrikant系统的不同相图和时间序列图。利用分数阶微积分和计算模拟得到rabinovitch - fabrikant系统的最低维数为2.85。分数阶rabinovitch - fabrikant系统的分岔图和Lyapunov指数来证明系统中的混沌。采用滑模控制方法实现了两个相同分数阶混沌rabinovitch - fabrikant系统的同步。

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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Synchronization of fractional order Rabinovich-Fabrikant systems using sliding mode control techniques

In this research article, we present the concepts of fractional-order dynamical systems and synchronization methodologies of fractional order chaotic dynamical systems using slide mode control techniques. We have analysed the different phase portraits and time-series graphs of fractional order Rabinovich-Fabrikant systems. We have obtained that the lowest dimension of Rabinovich-Fabrikant system is 2.85 through utilization of the fractional calculus and computational simulation. Bifurcation diagrams and Lyapunov exponents of fractional order Rabinovich-Fabrikant system to justify the chaos in the systems. Synchronization of two identical fractional-order chaotic Rabinovich-Fabrikant systems are achieved using sliding mode control methodology.

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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.