{"id":"https://openalex.org/W3113046416","doi":"https://doi.org/10.1109/cdc42340.2020.9304315","title":"Constrained Optimal Tracking Control of Unknown Systems: A Multi-Step Linear Programming Approach","display_name":"Constrained Optimal Tracking Control of Unknown Systems: A Multi-Step Linear Programming Approach","publication_year":2020,"publication_date":"2020-12-14","ids":{"openalex":"https://openalex.org/W3113046416","doi":"https://doi.org/10.1109/cdc42340.2020.9304315","mag":"3113046416"},"language":"en","primary_location":{"id":"doi:10.1109/cdc42340.2020.9304315","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304315","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2012.04318","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087585017","display_name":"Alexandros Tanzanakis","orcid":"https://orcid.org/0000-0002-1266-1506"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Alexandros Tanzanakis","raw_affiliation_strings":["ETH, Zurich, Switzerland","ETH Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007359599","display_name":"John Lygeros","orcid":"https://orcid.org/0000-0002-6159-1962"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"John Lygeros","raw_affiliation_strings":["ETH, Zurich, Switzerland","ETH Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":null,"first_page":"2455","last_page":"2462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9940999746322632,"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/T10675","display_name":"Mechanical Circulatory Support Devices","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6258207559585571},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5948022603988647},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5912609696388245},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5534032583236694},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5427425503730774},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5000209808349609},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49977707862854004},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46986517310142517},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.46405020356178284},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.44806918501853943},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.445850670337677},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.43436264991760254},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.4249057173728943},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.4158124625682831},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.41417115926742554},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.31402817368507385},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2955576181411743},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19991746544837952},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10484716296195984}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6258207559585571},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5948022603988647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5912609696388245},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5534032583236694},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5427425503730774},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5000209808349609},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49977707862854004},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46986517310142517},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.46405020356178284},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.44806918501853943},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.445850670337677},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.43436264991760254},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.4249057173728943},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.4158124625682831},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.41417115926742554},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.31402817368507385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2955576181411743},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19991746544837952},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10484716296195984},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc42340.2020.9304315","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304315","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2012.04318","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.04318","pdf_url":"https://arxiv.org/pdf/2012.04318","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2012.04318","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2012.04318","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"mag:3113046416","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2012.04318","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.04318","pdf_url":"https://arxiv.org/pdf/2012.04318","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3113046416.pdf","grobid_xml":"https://content.openalex.org/works/W3113046416.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W560518094","https://openalex.org/W648594167","https://openalex.org/W1485020964","https://openalex.org/W1554698619","https://openalex.org/W1576452626","https://openalex.org/W1596538644","https://openalex.org/W1601081659","https://openalex.org/W1680219837","https://openalex.org/W1863485266","https://openalex.org/W1968908471","https://openalex.org/W1969959431","https://openalex.org/W1972243698","https://openalex.org/W1976956127","https://openalex.org/W1980801308","https://openalex.org/W1990406629","https://openalex.org/W2009303086","https://openalex.org/W2085194340","https://openalex.org/W2152161277","https://openalex.org/W2462102501","https://openalex.org/W2480373768","https://openalex.org/W2480536132","https://openalex.org/W2484646121","https://openalex.org/W2550394442","https://openalex.org/W2625056686","https://openalex.org/W2762911482","https://openalex.org/W2768907917","https://openalex.org/W2772589676","https://openalex.org/W2791413585","https://openalex.org/W2798534591","https://openalex.org/W2888901227","https://openalex.org/W2962806059","https://openalex.org/W2963600139","https://openalex.org/W2964171912","https://openalex.org/W2974060888","https://openalex.org/W2995761102","https://openalex.org/W3006751794","https://openalex.org/W3011120880","https://openalex.org/W3012316984","https://openalex.org/W3014289027","https://openalex.org/W6635829684","https://openalex.org/W6683195989","https://openalex.org/W6751934712","https://openalex.org/W6772182513","https://openalex.org/W6773863681"],"related_works":["https://openalex.org/W3121117921","https://openalex.org/W3006751794","https://openalex.org/W2794354542","https://openalex.org/W2059722814","https://openalex.org/W2762911482","https://openalex.org/W3204480416","https://openalex.org/W3120441334","https://openalex.org/W2128024262","https://openalex.org/W2902524429","https://openalex.org/W2316751503","https://openalex.org/W2189023933","https://openalex.org/W2614992370","https://openalex.org/W2974740672","https://openalex.org/W2974120149","https://openalex.org/W2586495351","https://openalex.org/W3111299456","https://openalex.org/W2036986385","https://openalex.org/W2912832158","https://openalex.org/W2971827823","https://openalex.org/W2740962288"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,71,85,110,116,134,147,152],"problem":[3,75],"of":[4,87,113,124,136,151],"optimal":[5,73,80,130],"state-feedback":[6],"tracking":[7,74],"control":[8,122],"for":[9,118],"unknown":[10],"discrete-time":[11],"deterministic":[12],"systems":[13],"with":[14],"input":[15,19],"constraints.":[16],"To":[17],"handle":[18],"constraints,":[20],"state-of-art":[21],"methods":[22],"utilize":[23],"a":[24,64,93,128,137],"certain":[25],"nonquadratic":[26],"stage":[27,89,141],"cost":[28,90,142],"function,":[29],"which":[30,69],"is":[31,38,67,104],"sometimes":[32],"limiting":[33],"real":[34],"systems.":[35],"Furthermore,":[36],"it":[37],"well":[39],"known":[40],"that":[41],"Policy":[42],"Iteration":[43,47],"(PI)":[44],"and":[45,59,83,101,126,140,149],"Value":[46],"(VI),":[48],"two":[49],"widely":[50],"used":[51],"algorithms":[52],"in":[53],"data-driven":[54],"control,":[55],"offer":[56],"complementary":[57],"strengths":[58],"weaknesses.":[60],"In":[61],"this":[62],"work,":[63],"two-step":[65],"transformation":[66],"employed,":[68],"converts":[70],"constrained-input":[72],"to":[76],"an":[77,119],"unconstrained":[78],"augmented":[79],"regulation":[81],"problem,":[82],"allows":[84],"consideration":[86],"general":[88],"functions.":[91],"Then,":[92],"novel":[94],"multi-step":[95],"VI":[96],"algorithm":[97,108],"based":[98],"on":[99],"Q-learning":[100],"linear":[102],"programming":[103],"derived.":[105],"The":[106],"proposed":[107,153],"improves":[109],"convergence":[111],"speed":[112],"VI,":[114],"avoids":[115],"requirement":[117],"initial":[120],"stabilizing":[121],"policy":[123],"PI,":[125],"computes":[127],"constrained":[129],"feedback":[131],"controller":[132],"without":[133],"knowledge":[135],"system":[138],"model":[139],"function.":[143],"Simulation":[144],"studies":[145],"demonstrate":[146],"reliability":[148],"performance":[150],"approach.":[154]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
