Synchronization of a Class of Nonlinear Systems With and Without Uncertainty Using State Feedback and Extended Kalman Filter Based Control Scheme

IF 1.9 4区 工程技术 Q3 ENGINEERING, MECHANICAL
R. K. Ranjan, Bharat Bhushan Sharma
{"title":"Synchronization of a Class of Nonlinear Systems With and Without Uncertainty Using State Feedback and Extended Kalman Filter Based Control Scheme","authors":"R. K. Ranjan, Bharat Bhushan Sharma","doi":"10.1115/1.4064270","DOIUrl":null,"url":null,"abstract":"\n The paper elaborates on various synchronization aspects for nonlinear systems belonging to a specific class, under different scenarios. The method proposed in the article refers to the Lyapunov direct method and Extended Kalman Filter technique to ensure the convergence of the slave state trajectories to the corresponding master state trajectories. Initially, an output feedback-based synchronization approach is attempted, assuming that bounds of unmeasurable states are available for controller synthesis. However, this approach has limitations in handling complete parametric uncertainty for the considered class of systems. To overcome this limitation, a state feedback-based synchronization scheme is presented, and an appropriate state feedback controller and parametric adaptation laws are designed analytically. In the case where only output states are accessible for feedback, and the system is subjected to complete parametric uncertainty, an Extended Kalman Filter based estimation scheme is used. This approach facilitates achieving synchronization despite the presence of external channel noise disturbances with a Gaussian distribution. The potency of the proposed results is successfully substantiated for the chaotic Lorenz system, which belongs to the considered class of nonlinear systems. Ultimately, numerical simulations are provided to corroborate the efficacy of proposed synchronization and estimation strategy.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"49 30","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational and Nonlinear Dynamics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1115/1.4064270","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0

Abstract

The paper elaborates on various synchronization aspects for nonlinear systems belonging to a specific class, under different scenarios. The method proposed in the article refers to the Lyapunov direct method and Extended Kalman Filter technique to ensure the convergence of the slave state trajectories to the corresponding master state trajectories. Initially, an output feedback-based synchronization approach is attempted, assuming that bounds of unmeasurable states are available for controller synthesis. However, this approach has limitations in handling complete parametric uncertainty for the considered class of systems. To overcome this limitation, a state feedback-based synchronization scheme is presented, and an appropriate state feedback controller and parametric adaptation laws are designed analytically. In the case where only output states are accessible for feedback, and the system is subjected to complete parametric uncertainty, an Extended Kalman Filter based estimation scheme is used. This approach facilitates achieving synchronization despite the presence of external channel noise disturbances with a Gaussian distribution. The potency of the proposed results is successfully substantiated for the chaotic Lorenz system, which belongs to the considered class of nonlinear systems. Ultimately, numerical simulations are provided to corroborate the efficacy of proposed synchronization and estimation strategy.
利用状态反馈和基于扩展卡尔曼滤波器的控制方案实现一类有不确定性和无不确定性非线性系统的同步化
本文阐述了在不同情况下,属于特定类别的非线性系统的各种同步问题。文章提出的方法参考了 Lyapunov 直接法和扩展卡尔曼滤波器技术,以确保从状态轨迹收敛到相应的主状态轨迹。起初,尝试了一种基于输出反馈的同步方法,假定不可测状态的边界可用于控制器合成。然而,对于所考虑的这一类系统,这种方法在处理完全参数不确定性方面存在局限性。为了克服这一局限性,本文提出了一种基于状态反馈的同步方案,并通过分析设计了适当的状态反馈控制器和参数适应法则。在只有输出状态可获得反馈且系统完全受参数不确定性影响的情况下,采用了基于扩展卡尔曼滤波器的估计方案。尽管存在高斯分布的外部信道噪声干扰,这种方法仍有助于实现同步。对于属于所考虑的非线性系统类别的混沌洛伦兹系统,所提结果的有效性得到了成功证实。最后,还提供了数值模拟,以证实所提出的同步和估计策略的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
CiteScore
4.00
自引率
10.00%
发文量
72
审稿时长
6-12 weeks
期刊介绍: The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信