{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T02:04:49Z","timestamp":1768442689585,"version":"3.49.0"},"reference-count":35,"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":["60874063"],"award-info":[{"award-number":["60874063"]}],"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":["YJSCX2012-263HLJ"],"award-info":[{"award-number":["YJSCX2012-263HLJ"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Innovation and Scientific Research Foundation of Graduate Student of Heilongjiang Province","award":["60874063"],"award-info":[{"award-number":["60874063"]}]},{"name":"Innovation and Scientific Research Foundation of Graduate Student of Heilongjiang Province","award":["YJSCX2012-263HLJ"],"award-info":[{"award-number":["YJSCX2012-263HLJ"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>A direct approach of designing weighted fusion robust steady-state Kalman filters with uncertain noise variances is presented. Based on the steady-state Kalman filtering theory, using the minimax robust estimation principle and the unbiased linear minimum variance (ULMV) optimal estimation rule, the six robust weighted fusion steady-state Kalman filters are designed based on the worst-case conservative system with the conservative upper bounds of noise variances. The actual filtering error variances of each fuser are guaranteed to have a minimal upper bound for all admissible uncertainties of noise variances. A Lyapunov equation method for robustness analysis is proposed. Their robust accuracy relations are proved. A simulation example verifies their robustness and accuracy relations.<\/jats:p>","DOI":"10.1155\/2014\/369252","type":"journal-article","created":{"date-parts":[[2014,4,30]],"date-time":"2014-04-30T17:02:55Z","timestamp":1398877375000},"page":"1-11","source":"Crossref","is-referenced-by-count":11,"title":["Weighted Fusion Robust Steady-State Kalman Filters for Multisensor System with Uncertain Noise Variances"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3729-2855","authenticated-orcid":true,"given":"Wen-Juan","family":"Qi","sequence":"first","affiliation":[{"name":"Department of Automation, Heilongjiang University, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peng","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Automation, Heilongjiang University, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zi-Li","family":"Deng","sequence":"additional","affiliation":[{"name":"Department of Automation, Heilongjiang University, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1109\/5.554205"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.815774"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2005.04.020"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2004.01.014"},{"key":"5","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/j.inffus.2012.05.005","volume":"14","year":"2013","journal-title":"Information Fusion"},{"issue":"1","key":"6","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1109\/7.913685","volume":"37","year":"2001","journal-title":"IEEE Transactions on Aerospace and Electronic Systems"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1002\/acs.1178"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.3724\/SP.J.1004.2008.00232"},{"issue":"2","key":"9","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1109\/78.485915","volume":"44","year":"1996","journal-title":"IEEE Transactions on Signal Processing"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00298-9"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2007.892223"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.ast.2011.03.012"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2002.800668"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:20000749"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2007.11.004"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2004.01.003"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2003.816861"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1049\/iet-spr.2009.0244"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2012.03.036"},{"issue":"1","key":"21","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1080\/00207729708929368","volume":"28","year":"1997","journal-title":"International Journal of Systems Science"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2006.873148"},{"key":"24","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/j.sigpro.2013.12.013","volume":"99","year":"2014","journal-title":"Signal Processing"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2012.2215801"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.inffus.2011.09.004"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2008.01.027"},{"key":"30","series-title":"Theory and Practice","first-page":"319","volume-title":"General decentralized data fusion with covariance intersection","year":"2009"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.11.038"},{"key":"33","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.05.077"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2010.05.010"},{"key":"35","doi-asserted-by":"publisher","DOI":"10.1016\/j.robot.2006.06.011"},{"key":"36","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2006.07.002"},{"key":"37","doi-asserted-by":"publisher","DOI":"10.1109\/JSEN.2007.901556"},{"key":"38","year":"2000"},{"key":"39","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-0417-9"},{"key":"40","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2010.2051052"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/369252.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/369252.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/369252.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T08:26:44Z","timestamp":1498120004000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/369252\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":35,"alternative-id":["369252","369252"],"URL":"https:\/\/doi.org\/10.1155\/2014\/369252","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}