增量二次约束非线性输出系统的自适应观测器设计——在混沌同步中的应用

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/acs.2022.140867

L. Moysis, Meenakshi Tripathi, M. Gupta, M. Marwan, C. Volos

{"title":"增量二次约束非线性输出系统的自适应观测器设计——在混沌同步中的应用","authors":"L. Moysis, Meenakshi Tripathi, M. Gupta, M. Marwan, C. Volos","doi":"10.24425/acs.2022.140867","DOIUrl":null,"url":null,"abstract":"This work addresses the problem of adaptive observer design for nonlinear systems satisfying incremental quadratic constraints. The output of the system includes nonlinear terms, which puts an additional strain on the design and feasibility of the observer, which is guaranteed under the satisfaction of an LMI, and a set of algebraic constraints. A particular case where the output nonlinearity matches the unknown parameter coeﬃcient is also discussed. The result is illustrated through a numerical example for the chaos synchronization of the Rössler system.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"169 1","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization\",\"authors\":\"L. Moysis, Meenakshi Tripathi, M. Gupta, M. Marwan, C. Volos\",\"doi\":\"10.24425/acs.2022.140867\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work addresses the problem of adaptive observer design for nonlinear systems satisfying incremental quadratic constraints. The output of the system includes nonlinear terms, which puts an additional strain on the design and feasibility of the observer, which is guaranteed under the satisfaction of an LMI, and a set of algebraic constraints. A particular case where the output nonlinearity matches the unknown parameter coeﬃcient is also discussed. The result is illustrated through a numerical example for the chaos synchronization of the Rössler system.\",\"PeriodicalId\":48654,\"journal\":{\"name\":\"Archives of Control Sciences\",\"volume\":\"169 1\",\"pages\":\"\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archives of Control Sciences\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.24425/acs.2022.140867\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archives of Control Sciences","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.24425/acs.2022.140867","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}

引用次数: 4

摘要

本文研究了满足增量二次约束的非线性系统的自适应观测器设计问题。系统的输出包含非线性项，这给观测器的设计和可行性带来了额外的压力，而观测器的设计和可行性是在满足LMI和一组代数约束的情况下保证的。文中还讨论了输出非线性与未知参数系数匹配的特殊情况。通过Rössler系统混沌同步的数值算例说明了上述结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization

This work addresses the problem of adaptive observer design for nonlinear systems satisfying incremental quadratic constraints. The output of the system includes nonlinear terms, which puts an additional strain on the design and feasibility of the observer, which is guaranteed under the satisfaction of an LMI, and a set of algebraic constraints. A particular case where the output nonlinearity matches the unknown parameter coeﬃcient is also discussed. The result is illustrated through a numerical example for the chaos synchronization of the Rössler system.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.