{"id":"https://openalex.org/W4312465708","doi":"https://doi.org/10.1109/tac.2022.3201026","title":"A Warm-Start Strategy in Interior Point Methods for Shrinking Horizon Model Predictive Control With Variable Discretization Step","display_name":"A Warm-Start Strategy in Interior Point Methods for Shrinking Horizon Model Predictive Control With Variable Discretization Step","publication_year":2022,"publication_date":"2022-11-29","ids":{"openalex":"https://openalex.org/W4312465708","doi":"https://doi.org/10.1109/tac.2022.3201026"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3201026","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3201026","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5101494072","display_name":"Ziyou Zhang","orcid":"https://orcid.org/0000-0003-3839-7747"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziyou Zhang","raw_affiliation_strings":["Center for Intelligent and Networked Systems (CFINS), Department of Automation and BNRist, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-3839-7747","affiliations":[{"raw_affiliation_string":"Center for Intelligent and Networked Systems (CFINS), Department of Automation and BNRist, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014109600","display_name":"Qianchuan Zhao","orcid":"https://orcid.org/0000-0002-7952-5621"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianchuan Zhao","raw_affiliation_strings":["Center for Intelligent and Networked Systems (CFINS), Department of Automation and BNRist, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-7952-5621","affiliations":[{"raw_affiliation_string":"Center for Intelligent and Networked Systems (CFINS), Department of Automation and BNRist, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039197327","display_name":"Fa-An Dai","orcid":"https://orcid.org/0000-0002-1538-9907"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fa-An Dai","raw_affiliation_strings":["Center for Intelligent and Networked Systems (CFINS), Department of Automation and BNRist, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-1538-9907","affiliations":[{"raw_affiliation_string":"Center for Intelligent and Networked Systems (CFINS), Department of Automation and BNRist, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":6.3711,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.96001045,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"68","issue":"6","first_page":"3830","last_page":"3837"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":0.9969000220298767,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/interior-point-method","display_name":"Interior point method","score":0.7717320919036865},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7589927911758423},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.6917387843132019},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5931020975112915},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5237545967102051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5210815668106079},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4906727075576782},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4663882255554199},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.43961507081985474},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.4175293743610382},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40857377648353577},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39426904916763306},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3570629358291626},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3271443247795105},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16220903396606445},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09623202681541443},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08270725607872009},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0817154049873352}],"concepts":[{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.7717320919036865},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7589927911758423},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.6917387843132019},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5931020975112915},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5237545967102051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5210815668106079},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4906727075576782},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4663882255554199},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.43961507081985474},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.4175293743610382},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40857377648353577},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39426904916763306},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3570629358291626},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3271443247795105},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16220903396606445},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09623202681541443},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08270725607872009},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0817154049873352},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2022.3201026","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3201026","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6200000047683716,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1058676872","display_name":null,"funder_award_id":"61425027","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G184828240","display_name":null,"funder_award_id":"62192751","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1466312342","https://openalex.org/W1623487976","https://openalex.org/W1632601927","https://openalex.org/W1661708671","https://openalex.org/W1680007418","https://openalex.org/W1929693180","https://openalex.org/W1965154461","https://openalex.org/W1966185282","https://openalex.org/W1970065252","https://openalex.org/W1980450998","https://openalex.org/W1988296861","https://openalex.org/W2014684639","https://openalex.org/W2014885585","https://openalex.org/W2021748044","https://openalex.org/W2022004439","https://openalex.org/W2027826061","https://openalex.org/W2027928741","https://openalex.org/W2036713529","https://openalex.org/W2037490650","https://openalex.org/W2042163216","https://openalex.org/W2042440488","https://openalex.org/W2043647100","https://openalex.org/W2055008743","https://openalex.org/W2084436749","https://openalex.org/W2091010238","https://openalex.org/W2105235982","https://openalex.org/W2105917504","https://openalex.org/W2114416272","https://openalex.org/W2123871098","https://openalex.org/W2129516068","https://openalex.org/W2253157377","https://openalex.org/W2291308938","https://openalex.org/W2306754231","https://openalex.org/W2513178932","https://openalex.org/W2516543836","https://openalex.org/W2529203031","https://openalex.org/W2769302154","https://openalex.org/W2905747166","https://openalex.org/W2912784664","https://openalex.org/W2981763771","https://openalex.org/W3087849874","https://openalex.org/W3102244603","https://openalex.org/W3155635891","https://openalex.org/W4213316265","https://openalex.org/W4250589301","https://openalex.org/W6696743057"],"related_works":["https://openalex.org/W4378529241","https://openalex.org/W1990079087","https://openalex.org/W2060165215","https://openalex.org/W2101188133","https://openalex.org/W3202234113","https://openalex.org/W2483828597","https://openalex.org/W4248731570","https://openalex.org/W2799225442","https://openalex.org/W2895956935","https://openalex.org/W2282793296"],"abstract_inverted_index":{"In":[0,24,81],"this":[1],"article,":[2],"we":[3,45],"present":[4],"a":[5,20,27,61],"warm-start":[6,62],"point":[7,11,54,58],"algorithm":[8],"in":[9,111],"interior":[10],"methods":[12],"for":[13],"shrinking":[14],"horizon":[15],"model":[16],"predictive":[17],"control":[18],"with":[19,105],"variable":[21],"discretization":[22],"step.":[23],"the":[25,33,47,51,56,67,79,82,94,106],"algorithm,":[26],"convex":[28,48],"combination":[29,49],"of":[30,32,50,71,78,85,96,98,108],"components":[31],"earlier":[34],"optimal":[35],"solution":[36],"is":[37,74],"used":[38],"to":[39,59],"construct":[40],"an":[41],"interpolation":[42,53],"point,":[43],"and":[44,55],"use":[46],"modified":[52],"cold-start":[57],"obtain":[60],"point.":[63],"We":[64],"prove":[65],"that":[66,77],"worst-case":[68],"iteration":[69],"complexity":[70],"our":[72,91],"strategy":[73,92],"better":[75],"than":[76],"cold-start.":[80],"numerical":[83],"experiment":[84],"fuel-optimal":[86],"planetary":[87],"powered-descent":[88],"guidance":[89],"problems,":[90],"reduces":[93],"number":[95,107],"iterations":[97],"second-order":[99],"cone":[100],"programming":[101],"by":[102],"about":[103],"80%":[104],"samples":[109],"available":[110],"practical":[112],"applications.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}