{"id":"https://openalex.org/W3001670429","doi":"https://doi.org/10.1109/access.2020.2967818","title":"State Estimation of Continuous-Time Linear Fractional-Order Systems Disturbed by Correlated Colored Noises via Tustin Generating Function","display_name":"State Estimation of Continuous-Time Linear Fractional-Order Systems Disturbed by Correlated Colored Noises via Tustin Generating Function","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3001670429","doi":"https://doi.org/10.1109/access.2020.2967818","mag":"3001670429"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2967818","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2967818","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08963617.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08963617.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006701656","display_name":"Xiaomin Huang","orcid":"https://orcid.org/0000-0002-1939-2337"},"institutions":[{"id":"https://openalex.org/I118803816","display_name":"Liaoning University","ror":"https://ror.org/03xpwj629","country_code":"CN","type":"education","lineage":["https://openalex.org/I118803816"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaomin Huang","raw_affiliation_strings":["School of Mathematics, Liaoning University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Liaoning University, Shenyang, China","institution_ids":["https://openalex.org/I118803816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082605233","display_name":"Zhe Gao","orcid":"https://orcid.org/0000-0002-7084-5426"},"institutions":[{"id":"https://openalex.org/I118803816","display_name":"Liaoning University","ror":"https://ror.org/03xpwj629","country_code":"CN","type":"education","lineage":["https://openalex.org/I118803816"]},{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhe Gao","raw_affiliation_strings":["College of Light Industry, Liaoning University, Shenyang, China","Department of Control Science and Engineering, Jilin University, Changchun, China","School of Mathematics, Liaoning University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"College of Light Industry, Liaoning University, Shenyang, China","institution_ids":["https://openalex.org/I118803816"]},{"raw_affiliation_string":"Department of Control Science and Engineering, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716"]},{"raw_affiliation_string":"School of Mathematics, Liaoning University, Shenyang, China","institution_ids":["https://openalex.org/I118803816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101767238","display_name":"Chao Yang","orcid":"https://orcid.org/0000-0002-5927-3324"},"institutions":[{"id":"https://openalex.org/I118803816","display_name":"Liaoning University","ror":"https://ror.org/03xpwj629","country_code":"CN","type":"education","lineage":["https://openalex.org/I118803816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Yang","raw_affiliation_strings":["School of Mathematics, Liaoning University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Liaoning University, Shenyang, China","institution_ids":["https://openalex.org/I118803816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016703530","display_name":"Fanghui Liu","orcid":"https://orcid.org/0000-0003-4133-7921"},"institutions":[{"id":"https://openalex.org/I118803816","display_name":"Liaoning University","ror":"https://ror.org/03xpwj629","country_code":"CN","type":"education","lineage":["https://openalex.org/I118803816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fanghui Liu","raw_affiliation_strings":["School of Mathematics, Liaoning University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Liaoning University, Shenyang, China","institution_ids":["https://openalex.org/I118803816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006701656"],"corresponding_institution_ids":["https://openalex.org/I118803816"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.19,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.77839703,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"8","issue":null,"first_page":"18362","last_page":"18373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.6978106498718262},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6061435341835022},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5308079719543457},{"id":"https://openalex.org/keywords/colors-of-noise","display_name":"Colors of noise","score":0.5156099200248718},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5118719935417175},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4493669271469116},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.41089779138565063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3836607038974762},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3761463463306427},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32498180866241455},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2180728018283844},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19735273718833923},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13291630148887634},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.11956796050071716},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08671948313713074},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06826922297477722},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.06809553503990173},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.060736626386642456}],"concepts":[{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.6978106498718262},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6061435341835022},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5308079719543457},{"id":"https://openalex.org/C114996537","wikidata":"https://www.wikidata.org/wiki/Q4854529","display_name":"Colors of noise","level":3,"score":0.5156099200248718},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5118719935417175},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4493669271469116},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.41089779138565063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3836607038974762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3761463463306427},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32498180866241455},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2180728018283844},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19735273718833923},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13291630148887634},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.11956796050071716},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08671948313713074},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06826922297477722},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.06809553503990173},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.060736626386642456},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2967818","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2967818","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08963617.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a268c9dd3fd044b6937b0d4b5a77f78a","is_oa":true,"landing_page_url":"https://doaj.org/article/a268c9dd3fd044b6937b0d4b5a77f78a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 18362-18373 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2967818","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2967818","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08963617.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1617179546","display_name":null,"funder_award_id":"20180520009","funder_id":"https://openalex.org/F4320323086","funder_display_name":"Natural Science Foundation of Liaoning Province"},{"id":"https://openalex.org/G2933174705","display_name":null,"funder_award_id":"2019M651206","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G3782146458","display_name":null,"funder_award_id":"XLYC1807229","funder_id":"https://openalex.org/F4320329895","funder_display_name":"Liaoning Revitalization Talents Program"},{"id":"https://openalex.org/G5919147728","display_name":null,"funder_award_id":"LDGY201920","funder_id":"https://openalex.org/F4320324783","funder_display_name":"Liaoning University"},{"id":"https://openalex.org/G7001516894","display_name":null,"funder_award_id":"2019M6","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320323086","display_name":"Natural Science Foundation of Liaoning Province","ror":null},{"id":"https://openalex.org/F4320324783","display_name":"Liaoning University","ror":"https://ror.org/03xpwj629"},{"id":"https://openalex.org/F4320329895","display_name":"Liaoning Revitalization Talents Program","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3001670429.pdf","grobid_xml":"https://content.openalex.org/works/W3001670429.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W173174011","https://openalex.org/W1590346087","https://openalex.org/W1966532243","https://openalex.org/W1967548782","https://openalex.org/W2046523176","https://openalex.org/W2052684110","https://openalex.org/W2108132547","https://openalex.org/W2131891535","https://openalex.org/W2139336218","https://openalex.org/W2171612575","https://openalex.org/W2342126168","https://openalex.org/W2469621825","https://openalex.org/W2555424343","https://openalex.org/W2560597209","https://openalex.org/W2580542403","https://openalex.org/W2740719367","https://openalex.org/W2746291398","https://openalex.org/W2756081486","https://openalex.org/W2766772168","https://openalex.org/W2770718276","https://openalex.org/W2771486210","https://openalex.org/W2788718239","https://openalex.org/W2792708028","https://openalex.org/W2795631995","https://openalex.org/W2914354064","https://openalex.org/W2921412552","https://openalex.org/W2937372615","https://openalex.org/W2965254139","https://openalex.org/W2967747310","https://openalex.org/W3101077330","https://openalex.org/W4250687482","https://openalex.org/W6676186167","https://openalex.org/W6720686257"],"related_works":["https://openalex.org/W2140509105","https://openalex.org/W1547843988","https://openalex.org/W3146178872","https://openalex.org/W2092421397","https://openalex.org/W4205591199","https://openalex.org/W2383726841","https://openalex.org/W95881924","https://openalex.org/W4405948820","https://openalex.org/W2064234232","https://openalex.org/W75826713"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"Kalman":[3],"filters":[4],"to":[5,50,100],"investigate":[6],"the":[7,27,42,46,53,56,61,78,86,102,105],"state":[8,43,72],"estimation":[9,73],"of":[10,104],"continuous-time":[11],"linear":[12],"fractional-order":[13,28,88],"systems":[14],"disturbed":[15],"by":[16,25,41],"correlated":[17],"colored":[18,47,57,62],"noises.":[19],"A":[20],"difference":[21],"equation":[22,30],"is":[23,39],"obtained":[24],"discretizing":[26],"differential":[29],"via":[31,81],"Tustin":[32,82],"generating":[33],"function.":[34],"Besides,":[35],"an":[36],"augmented":[37],"vector":[38,44,49],"determined":[40],"and":[45],"noise":[48,59,64],"deal":[51],"with":[52,65,91],"problems":[54],"on":[55],"process":[58],"or":[60],"measurement":[63],"fractional-orders.":[66],"In":[67],"fact,":[68],"a":[69],"more":[70],"accurate":[71],"can":[74],"be":[75],"achieved":[76],"using":[77],"discretization":[79],"method":[80],"generation":[83],"function":[84],"for":[85],"investigated":[87],"systems,":[89],"compared":[90],"Gr\u00fcnwald-Letnikov":[92],"difference.":[93],"Finally,":[94],"two":[95],"illustrative":[96],"examples":[97],"are":[98],"provided":[99],"validate":[101],"effectiveness":[103],"proposed":[106],"algorithms":[107],"in":[108],"this":[109],"paper.":[110]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
