Bifurcation Analysis, Synchronization and FPGA Implementation of a New 3-D Jerk System with a Stable Equilibrium

Author:

Vaidyanathan Sundarapandian1ORCID,Azar Ahmad Taher234ORCID,Hameed Ibrahim A.5ORCID,Benkouider Khaled6ORCID,Tlelo-Cuautle Esteban7ORCID,Ovilla-Martinez Brisbane8ORCID,Lien Chang-Hua9ORCID,Sambas Aceng1011ORCID

Affiliation:

1. Centre for Control Systems, Vel Tech University, 400 Feet Outer Ring Road, Avadi, Chennai 600 062, Tamil Nadu, India

2. College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

3. Faculty of Computers and Artificial Intelligence, Benha University, Benha 13511, Egypt

4. Automated Systems and Soft Computing Lab (ASSCL), Prince Sultan University, Riyadh 11586, Saudi Arabia

5. Department of ICT and Natural Sciences, Norwegian University of Science and Technology, Larsgardsvegen, 2, 6009 Alesund, Norway

6. Non Destructive Testing Laboratory, Automatic Department, Jijel University, BP 98, Jijel 18000, Algeria

7. Electronics Department, Instituto Nacional de Astrofisica, Optica y Electronica (INAOE), Puebla 72840, Mexico

8. Computer Science Department, CINVESTAV—The Center for Research and Advanced Studies of the National Polytechnic Institute, Av. IPN 2508, Mexico City 07360, Mexico

9. Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 81157, Taiwan

10. Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Gong Badak 21300, Terengganu, Malaysia

11. Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, Indonesia

Abstract

This research paper addresses the modelling of a new 3-D chaotic jerk system with a stable equilibrium. Such chaotic systems are known to exhibit hidden attractors. After the modelling of the new jerk system, a detailed bifurcation analysis has been performed for the new chaotic jerk system with a stable equilibrium. It is shown that the new jerk system has multistability with coexisting attractors. Next, we apply backstepping control for the synchronization design of a pair of new jerk systems with a stable equilibrium taken as the master-slave chaotic systems. Lyapunov stability theory is used to establish the synchronization results for the new jerk system with a stable equilibrium. Finally, we show that the FPGA design of the new jerk system with a stable equilibrium can be implemented using the FPGA Zybo Z7-20 development board. The design of the new jerk system consists of multipliers, adders and subtractors. It is observed that the experimental attractors are in good agreement with simulation results.

Funder

Norwegian University of Science and Technology

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3