{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:55Z","timestamp":1740134575917,"version":"3.37.3"},"reference-count":23,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61203081","61174079","20120142120091"],"award-info":[{"award-number":["61203081","61174079","20120142120091"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61203081","61174079","20120142120091"],"award-info":[{"award-number":["61203081","61174079","20120142120091"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002338","name":"Ministry of Education of the People\u2019s Republic of China","doi-asserted-by":"publisher","award":["61203081","61174079","20120142120091"],"award-info":[{"award-number":["61203081","61174079","20120142120091"]}],"id":[{"id":"10.13039\/501100002338","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>To validate the robust stability of the flight control system of hypersonic flight vehicle, which suffers from a large number of parametrical uncertainties, a new clearance framework based on structural singular value (<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>\u03bc<\/mml:mi><\/mml:mrow><\/mml:math>) theory and global uncertainty sensitivity analysis (SA) is proposed. In this framework, SA serves as the preprocess of uncertain model to be analysed to help engineers to determine which uncertainties affect the stability of the closed loop system more slightly. By ignoring these unimportant uncertainties, the calculation of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>\u03bc<\/mml:mi><\/mml:mrow><\/mml:math>can be simplified. Instead of analysing the effect of uncertainties on<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>\u03bc<\/mml:mi><\/mml:mrow><\/mml:math>which involves solving optimal problems repeatedly, a simpler stability analysis function which represents the effect of uncertainties on closed loop poles is proposed. Based on this stability analysis function, Sobol\u2019s method, the most widely used global SA method, is extended and applied to the new clearance framework due to its suitability for system with strong nonlinearity and input factors varying in large interval, as well as input factors subjecting to random distributions. In this method, the sensitive indices can be estimated via Monte Carlo simulation conveniently. An example is given to illustrate the efficiency of the proposed method.<\/jats:p>","DOI":"10.1155\/2014\/153602","type":"journal-article","created":{"date-parts":[[2014,10,13]],"date-time":"2014-10-13T17:01:41Z","timestamp":1413219701000},"page":"1-10","source":"Crossref","is-referenced-by-count":1,"title":["Robust Stability Clearance of Flight Control Law Based on Global Sensitivity Analysis"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1073-7041","authenticated-orcid":true,"given":"Liuli","family":"Ou","sequence":"first","affiliation":[{"name":"Key Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lei","family":"Liu","sequence":"additional","affiliation":[{"name":"Key Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6834-5326","authenticated-orcid":true,"given":"Shuai","family":"Dong","sequence":"additional","affiliation":[{"name":"Key Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongji","family":"Wang","sequence":"additional","affiliation":[{"name":"Key Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"4","doi-asserted-by":"publisher","DOI":"10.2514\/2.6931"},{"year":"1996","key":"5"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2006.873220"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1007\/s11081-010-9120-4"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.12.008"},{"year":"2010","key":"11"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.2514\/1.34091"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.2514\/1.43113"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2006.11.015"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2011.2134057"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1109\/TMECH.2012.2204765"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2012.2206340"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.2514\/2.5007"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.2514\/2.4836"},{"year":"2010","key":"20"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/207959"},{"year":"2008","key":"22"},{"key":"23","first-page":"407","volume":"1","year":"1993","journal-title":"Mathematical Modeling & Computational Experiment"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/j.ress.2005.11.047"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2009.09.018"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/953548"},{"year":"2012","key":"27"},{"year":"2008","key":"28"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/153602.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/153602.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/153602.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,18]],"date-time":"2016-08-18T09:02:44Z","timestamp":1471510964000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/153602\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":23,"alternative-id":["153602","153602"],"URL":"https:\/\/doi.org\/10.1155\/2014\/153602","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}