用矩阵序列法分析线性时变T-H方程的能控性

IF 1.1 4区工程技术 Q3 ENGINEERING, AEROSPACE

International Journal of Aerospace Engineering Pub Date : 2023-08-08 DOI:10.1155/2023/1981979

Sihui Liu, Qingdao Huang

{"title":"用矩阵序列法分析线性时变T-H方程的能控性","authors":"Sihui Liu, Qingdao Huang","doi":"10.1155/2023/1981979","DOIUrl":null,"url":null,"abstract":"A satellite is considered to be moving relative to a nominal elliptical orbit, whose dynamics are usually described by the Tschaunner-Hempel equation (T-H equation). In this paper, we propose to transform the second-order time-varying system represented by the linear T-H equation with a second-order matrix form into a first-order time-varying system. Then, the controllability of the first-order time-varying system is investigated with the matrix sequence method including \n \n e\n =\n 0\n \n . Meanwhile, we study the observability of the first-order time-varying system with a specific form of measurement. The advantages of the matrix sequence method for controllability and observability analysis are tested by numerical examples, respectively. Dual theory is used to investigate the controllability and observability of the corresponding dual system of the T-H equation. The corresponding conclusions are obtained.","PeriodicalId":13748,"journal":{"name":"International Journal of Aerospace Engineering","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Controllability Analysis of Linear Time-Varying T-H Equation with Matrix Sequence Method\",\"authors\":\"Sihui Liu, Qingdao Huang\",\"doi\":\"10.1155/2023/1981979\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A satellite is considered to be moving relative to a nominal elliptical orbit, whose dynamics are usually described by the Tschaunner-Hempel equation (T-H equation). In this paper, we propose to transform the second-order time-varying system represented by the linear T-H equation with a second-order matrix form into a first-order time-varying system. Then, the controllability of the first-order time-varying system is investigated with the matrix sequence method including \\n \\n e\\n =\\n 0\\n \\n . Meanwhile, we study the observability of the first-order time-varying system with a specific form of measurement. The advantages of the matrix sequence method for controllability and observability analysis are tested by numerical examples, respectively. Dual theory is used to investigate the controllability and observability of the corresponding dual system of the T-H equation. The corresponding conclusions are obtained.\",\"PeriodicalId\":13748,\"journal\":{\"name\":\"International Journal of Aerospace Engineering\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-08-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Aerospace Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1155/2023/1981979\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, AEROSPACE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Aerospace Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1155/2023/1981979","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, AEROSPACE","Score":null,"Total":0}

引用次数: 0

摘要

卫星被认为是相对于标称椭圆轨道运动的，其动力学通常由Tschaunner-Hepel方程（T-H方程）描述。在本文中，我们提出将由具有二阶矩阵形式的线性T-H方程表示的二阶时变系统转换为一阶时变。然后，用矩阵序列方法研究了一阶时变系统的可控性，其中e＝0。同时，我们研究了具有特定测量形式的一阶时变系统的可观测性。分别通过算例验证了矩阵序列法在可控性和可观测性分析中的优势。对偶理论用于研究T-H方程的对偶系统的能控性和可观测性。得出了相应的结论。

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

Controllability Analysis of Linear Time-Varying T-H Equation with Matrix Sequence Method

A satellite is considered to be moving relative to a nominal elliptical orbit, whose dynamics are usually described by the Tschaunner-Hempel equation (T-H equation). In this paper, we propose to transform the second-order time-varying system represented by the linear T-H equation with a second-order matrix form into a first-order time-varying system. Then, the controllability of the first-order time-varying system is investigated with the matrix sequence method including e = 0 . Meanwhile, we study the observability of the first-order time-varying system with a specific form of measurement. The advantages of the matrix sequence method for controllability and observability analysis are tested by numerical examples, respectively. Dual theory is used to investigate the controllability and observability of the corresponding dual system of the T-H equation. The corresponding conclusions are obtained.

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

International Journal of Aerospace Engineering ENGINEERING, AEROSPACE-

CiteScore

2.70

自引率

7.10%

发文量

195

审稿时长

22 weeks

期刊介绍： International Journal of Aerospace Engineering aims to serve the international aerospace engineering community through dissemination of scientific knowledge on practical engineering and design methodologies pertaining to aircraft and space vehicles. Original unpublished manuscripts are solicited on all areas of aerospace engineering including but not limited to: -Mechanics of materials and structures- Aerodynamics and fluid mechanics- Dynamics and control- Aeroacoustics- Aeroelasticity- Propulsion and combustion- Avionics and systems- Flight simulation and mechanics- Unmanned air vehicles (UAVs). Review articles on any of the above topics are also welcome.