{"id":"https://openalex.org/W4416706979","doi":"https://doi.org/10.1109/tase.2025.3636095","title":"Safe Learning for Adaptive Fault-Tolerant Control With Probabilistic Control Barrier Functions","display_name":"Safe Learning for Adaptive Fault-Tolerant Control With Probabilistic Control Barrier Functions","publication_year":2025,"publication_date":"2025-11-26","ids":{"openalex":"https://openalex.org/W4416706979","doi":"https://doi.org/10.1109/tase.2025.3636095"},"language":null,"primary_location":{"id":"doi:10.1109/tase.2025.3636095","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3636095","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024427613","display_name":"Linhao Zhao","orcid":"https://orcid.org/0000-0001-6709-9875"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Linhao Zhao","raw_affiliation_strings":["Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia","Faculty of Engineering and Information Technology, Australian AI Institute, University of Technology Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]},{"raw_affiliation_string":"Faculty of Engineering and Information Technology, Australian AI Institute, University of Technology Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071803923","display_name":"Cheng Hu","orcid":"https://orcid.org/0000-0003-1322-2828"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Hu","raw_affiliation_strings":["College of Mathematics and System Science, Xinjiang University, Ürümqi, China","College of Mathematics and System Science, Xinjiang University, Urumqi, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Science, Xinjiang University, Ürümqi, China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"College of Mathematics and System Science, Xinjiang University, Urumqi, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013161489","display_name":"Song Zhu","orcid":"https://orcid.org/0000-0001-5228-9406"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Song Zhu","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048286444","display_name":"Shiping Wen","orcid":"https://orcid.org/0000-0002-5048-0319"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Shiping Wen","raw_affiliation_strings":["Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia","Faculty of Engineering and Information Technology, Australian AI Institute, University of Technology Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]},{"raw_affiliation_string":"Faculty of Engineering and Information Technology, Australian AI Institute, University of Technology Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5024427613"],"corresponding_institution_ids":["https://openalex.org/I114017466"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.47726232,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":null,"first_page":"444","last_page":"454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.578499972820282,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.578499972820282,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.10109999775886536,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.0649000033736229,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.6621999740600586},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.6524999737739563},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.588100016117096},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5737000107765198},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.486299991607666},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.42100000381469727},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41769999265670776},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.398499995470047}],"concepts":[{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.6621999740600586},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.6524999737739563},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.588100016117096},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5737000107765198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5062999725341797},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.505299985408783},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.486299991607666},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.4422999918460846},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.42100000381469727},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41769999265670776},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.398499995470047},{"id":"https://openalex.org/C2777851325","wikidata":"https://www.wikidata.org/wiki/Q7094102","display_name":"Online model","level":2,"score":0.3776000142097473},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3495999872684479},{"id":"https://openalex.org/C2780617739","wikidata":"https://www.wikidata.org/wiki/Q4680738","display_name":"Adaptive estimator","level":3,"score":0.3449999988079071},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C152745839","wikidata":"https://www.wikidata.org/wiki/Q5438153","display_name":"Fault detection and isolation","level":3,"score":0.31310001015663147},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.29440000653266907},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.2822999954223633},{"id":"https://openalex.org/C2986087404","wikidata":"https://www.wikidata.org/wiki/Q15946010","display_name":"Online learning","level":2,"score":0.2800999879837036},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C81692654","wikidata":"https://www.wikidata.org/wiki/Q225926","display_name":"Kriging","level":2,"score":0.275299996137619},{"id":"https://openalex.org/C60782215","wikidata":"https://www.wikidata.org/wiki/Q3333679","display_name":"Probabilistic method","level":3,"score":0.2687000036239624},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.2612999975681305}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2025.3636095","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3636095","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1980569135","https://openalex.org/W2016095551","https://openalex.org/W2129021903","https://openalex.org/W2166566250","https://openalex.org/W2560504659","https://openalex.org/W2598136971","https://openalex.org/W2803065174","https://openalex.org/W2807198100","https://openalex.org/W2968945909","https://openalex.org/W3025752759","https://openalex.org/W3038180127","https://openalex.org/W3046925685","https://openalex.org/W3047771170","https://openalex.org/W3091023238","https://openalex.org/W3091048052","https://openalex.org/W3116785831","https://openalex.org/W3119915811","https://openalex.org/W3120459386","https://openalex.org/W3126004433","https://openalex.org/W3195647294","https://openalex.org/W3195968524","https://openalex.org/W3198546120","https://openalex.org/W4211049957","https://openalex.org/W4225515500","https://openalex.org/W4294690625","https://openalex.org/W4296079220","https://openalex.org/W4312907096","https://openalex.org/W4365506121","https://openalex.org/W4388410871","https://openalex.org/W4389230872","https://openalex.org/W4398757463","https://openalex.org/W4401417360","https://openalex.org/W4403008825","https://openalex.org/W4404132748","https://openalex.org/W4406259364","https://openalex.org/W4407127499","https://openalex.org/W4407937759","https://openalex.org/W4409882619","https://openalex.org/W4410491943"],"related_works":[],"abstract_inverted_index":{"While":[0],"control":[1,42],"barrier":[2],"functions":[3],"(CBFs)":[4],"are":[5,95],"capable":[6],"of":[7,18,61,71,109],"providing":[8],"safety":[9,114],"guarantees,":[10],"their":[11],"effectiveness":[12,106],"can":[13],"degrade":[14],"in":[15,112],"the":[16,59,69,81,105],"presence":[17],"model":[19,62],"uncertainty":[20],"and":[21,40,49,75,102,107],"unexpected":[22],"faults,":[23],"particularly":[24],"under":[25],"actuator":[26,88],"gain":[27,89],"faults.":[28,90],"To":[29,57],"deal":[30],"with":[31],"these":[32,110],"challenges,":[33],"this":[34],"paper":[35],"proposes":[36],"a":[37],"probabilistically":[38],"safe":[39],"adaptive":[41],"framework":[43],"that":[44],"integrates":[45],"Gaussian":[46],"processes":[47],"(GPs)":[48],"online":[50,77,83],"fault":[51],"estimation":[52],"into":[53],"CBF-/high-order":[54],"CBF-based":[55,100],"methods.":[56],"handle":[58],"influence":[60],"uncertainty,":[63],"we":[64],"leverage":[65],"GP":[66],"regression":[67],"for":[68],"construction":[70],"CBFs,":[72,74],"high-order":[73],"an":[76],"estimator.":[78],"In":[79],"addition,":[80],"GP-based":[82],"estimator":[84],"to":[85,97,103,116],"estimate":[86],"unknown":[87],"Finally,":[91],"two":[92,99],"numerical":[93],"examples":[94],"provided":[96],"validate":[98],"methods":[101,111],"demonstrate":[104],"superiority":[108],"ensuring":[113],"compared":[115],"existing":[117],"approaches.":[118]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-11-27T00:00:00"}