A new three-dimensional chaotic system: its adaptive control and circuit design

IF 1.3 Q4 AUTOMATION & CONTROL SYSTEMS

International Journal of Automation and Control Pub Date : 2019-01-01 DOI:10.1504/IJAAC.2019.10016561

S. Vaidyanathan, Oumate Alhadji Abba, G. Betchewe, Mohamadou Alidou

引用次数: 27

Abstract

A new three-dimensional chaotic system with two nonlinearities is proposed in this research work. Specifically, the two nonlinearities considered in the construction of the new chaotic system are a quadratic nonlinearity and a quartic nonlinearity. A systematic study of the three-dimensional chaotic system has been made including phase portraits, dissipativity, rest points and their stability, Lyapunov chaos exponents, Kaplan-Yorke fractal dimension, etc. As main control results, we design feedback control laws using adaptive control theory to achieve global stabilisation of the new chaotic system and also global synchronisation of identical chaotic systems with unknown parameters. Finally, an electronic circuit design of the new chaotic system using electronic work bench (EWB) is described in detail to confirm the feasibility of the theoretical chaotic model.

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一种新的三维混沌系统:自适应控制与电路设计

本文提出了一种新的双非线性三维混沌系统。具体来说，在新混沌系统的构建中考虑了两种非线性:二次非线性和四次非线性。对三维混沌系统进行了系统的研究，包括相谱、耗散、静止点及其稳定性、李雅普诺夫混沌指数、Kaplan-Yorke分形维数等。作为主要控制结果，我们利用自适应控制理论设计了反馈控制律，以实现新混沌系统的全局稳定和具有未知参数的相同混沌系统的全局同步。最后，详细描述了利用电子工作台(EWB)设计的新型混沌系统的电子电路，以验证理论混沌模型的可行性。

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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来源期刊

International Journal of Automation and Control AUTOMATION & CONTROL SYSTEMS-

自引率

41.70%

发文量

期刊介绍： IJAAC addresses the evolution and realisation of the theory, algorithms, techniques, schemes and tools for any kind of automation and control platforms including macro, micro and nano scale machineries and systems, with emphasis on implications that state-of-the-art technology choices have on both the feasibility and practicability of the intended applications. This perspective acknowledges the complexity of the automation, instrumentation and process control methods and delineates itself as an interface between the theory and practice existing in parallel over diverse spheres. Topics covered include: -Control theory and practice- Identification and modelling- Mechatronics- Application of soft computing- Real-time issues- Distributed control and remote monitoring- System integration- Fault detection and isolation (FDI)- Virtual instrumentation and control- Fieldbus technology and interfaces- Agriculture, environment, health applications- Industry, military, space applications