{"title":"基于H∞未知输入观测器的奇异分数阶系统故障估计","authors":"Qing-Hao Zhang, Jun-Guo Lu, Zhen Zhu, Ren-Jie Cui","doi":"10.1016/j.oceaneng.2025.121656","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the fault estimation problem for singular fractional-order systems. An <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> unknown input observer is designed to meet both admissibility and performance conditions. By using the bounded real lemma, the existence condition of the observer gain matrices with low conservativeness is derived. The methods for designing the full-order and reduced-order observers for the system with order <span><math><mrow><mn>0</mn><mo><</mo><mi>α</mi><mo><</mo><mn>2</mn></mrow></math></span> are proposed. Two numerical examples are given to clarify the application of our methods in electrical circuit systems and power systems. Compared to the existing methods, the lower estimation errors of the proposed methods in this paper are verified by the simulation results.</div></div>","PeriodicalId":19403,"journal":{"name":"Ocean Engineering","volume":"335 ","pages":"Article 121656"},"PeriodicalIF":5.5000,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fault estimation for singular fractional-order systems based on H∞ unknown input observers\",\"authors\":\"Qing-Hao Zhang, Jun-Guo Lu, Zhen Zhu, Ren-Jie Cui\",\"doi\":\"10.1016/j.oceaneng.2025.121656\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper investigates the fault estimation problem for singular fractional-order systems. An <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> unknown input observer is designed to meet both admissibility and performance conditions. By using the bounded real lemma, the existence condition of the observer gain matrices with low conservativeness is derived. The methods for designing the full-order and reduced-order observers for the system with order <span><math><mrow><mn>0</mn><mo><</mo><mi>α</mi><mo><</mo><mn>2</mn></mrow></math></span> are proposed. Two numerical examples are given to clarify the application of our methods in electrical circuit systems and power systems. Compared to the existing methods, the lower estimation errors of the proposed methods in this paper are verified by the simulation results.</div></div>\",\"PeriodicalId\":19403,\"journal\":{\"name\":\"Ocean Engineering\",\"volume\":\"335 \",\"pages\":\"Article 121656\"},\"PeriodicalIF\":5.5000,\"publicationDate\":\"2025-06-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ocean Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0029801825013629\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ocean Engineering","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0029801825013629","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
Fault estimation for singular fractional-order systems based on H∞ unknown input observers
This paper investigates the fault estimation problem for singular fractional-order systems. An unknown input observer is designed to meet both admissibility and performance conditions. By using the bounded real lemma, the existence condition of the observer gain matrices with low conservativeness is derived. The methods for designing the full-order and reduced-order observers for the system with order are proposed. Two numerical examples are given to clarify the application of our methods in electrical circuit systems and power systems. Compared to the existing methods, the lower estimation errors of the proposed methods in this paper are verified by the simulation results.
期刊介绍:
Ocean Engineering provides a medium for the publication of original research and development work in the field of ocean engineering. Ocean Engineering seeks papers in the following topics.