{"id":"https://openalex.org/W1979801964","doi":"https://doi.org/10.1109/tac.2011.2161795","title":"Cascade High Gain Predictors for a Class of Nonlinear Systems","display_name":"Cascade High Gain Predictors for a Class of Nonlinear Systems","publication_year":2011,"publication_date":"2011-07-20","ids":{"openalex":"https://openalex.org/W1979801964","doi":"https://doi.org/10.1109/tac.2011.2161795","mag":"1979801964"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2011.2161795","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2011.2161795","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":true,"oa_status":"green","oa_url":"https://centralesupelec.hal.science/hal-00648732","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109089361","display_name":"Tarek Ahmed\u2010Ali","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"T. Ahmed-Ali","raw_affiliation_strings":["GREYC UMR CNRS 6072, Caen, France","GREYC, Caen, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GREYC UMR CNRS 6072, Caen, France","institution_ids":["https://openalex.org/I4210139483","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"GREYC, Caen, France","institution_ids":["https://openalex.org/I4210139483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050990688","display_name":"Estelle Cherrier","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"E. Cherrier","raw_affiliation_strings":["GREYC UMR CNRS 6072, Caen, France","GREYC, Caen, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GREYC UMR CNRS 6072, Caen, France","institution_ids":["https://openalex.org/I4210139483","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"GREYC, Caen, France","institution_ids":["https://openalex.org/I4210139483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091534616","display_name":"F Lamnabhi-Lagarrigue","orcid":null},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Lamnabhi-Lagarrigue","raw_affiliation_strings":["CNRS, Laboratoire des Signaux et Systemes (INSIS-INS2I), European Embedded Control Institute (EECI), SUPELEC, Gif sur Yvette, France","Eur. Embedded Control Inst. (EECI), Lab. des Signaux et Syst. (INSIS-INS2I), SUPELEC, Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Laboratoire des Signaux et Systemes (INSIS-INS2I), European Embedded Control Institute (EECI), SUPELEC, Gif sur Yvette, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Eur. Embedded Control Inst. (EECI), Lab. des Signaux et Syst. (INSIS-INS2I), SUPELEC, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.5143,"has_fulltext":false,"cited_by_count":128,"citation_normalized_percentile":{"value":0.9802596,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"57","issue":"1","first_page":"221","last_page":"226"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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":0.9990000128746033,"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":0.9914000034332275,"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/cascade","display_name":"Cascade","score":0.9249175786972046},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6544902324676514},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6432253122329712},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5948424935340881},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5401917695999146},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.514149010181427},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47064727544784546},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4565136432647705},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43407773971557617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41346049308776855},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3601554036140442},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.268468976020813},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14505985379219055},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07746154069900513},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06646853685379028}],"concepts":[{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.9249175786972046},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6544902324676514},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6432253122329712},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5948424935340881},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5401917695999146},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.514149010181427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47064727544784546},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4565136432647705},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43407773971557617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41346049308776855},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3601554036140442},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.268468976020813},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14505985379219055},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07746154069900513},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06646853685379028},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2011.2161795","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2011.2161795","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"},{"id":"pmh:oai:HAL:hal-00648732v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-00648732","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2012, 57 (1), pp.224-229. ⟨10.1109/TAC.2011.2161795⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00648732v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-00648732","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2012, 57 (1), pp.224-229. ⟨10.1109/TAC.2011.2161795⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1975271100","https://openalex.org/W2012540279","https://openalex.org/W2051591980","https://openalex.org/W2063644516","https://openalex.org/W2083594375","https://openalex.org/W2107806093","https://openalex.org/W2113685753","https://openalex.org/W2115852080","https://openalex.org/W2128406576","https://openalex.org/W2150816890","https://openalex.org/W2165257605","https://openalex.org/W2169807830","https://openalex.org/W2337216523","https://openalex.org/W3016388990","https://openalex.org/W6729701115"],"related_works":["https://openalex.org/W2153719181","https://openalex.org/W1971748923","https://openalex.org/W1566155057","https://openalex.org/W2060986072","https://openalex.org/W2052574922","https://openalex.org/W64588465","https://openalex.org/W3120641340","https://openalex.org/W2117825986","https://openalex.org/W3134067061","https://openalex.org/W2079855347"],"abstract_inverted_index":{"This":[0,52,62],"work":[1],"presents":[2],"a":[3,24],"set":[4],"of":[5,15,34,59],"cascade":[6,47],"high":[7],"gain":[8],"predictors":[9,43],"to":[10],"reconstruct":[11],"the":[12,31,35,46,49,57],"vector":[13],"state":[14],"triangular":[16],"nonlinear":[17],"systems":[18],"with":[19],"delayed":[20],"output.":[21],"By":[22],"using":[23],"Lyapunov-Krasvoskii":[25],"approach,":[26],"simple":[27],"sufficient":[28],"conditions":[29],"ensuring":[30],"exponential":[32],"convergence":[33],"observation":[36],"error":[37],"towards":[38],"zero":[39],"are":[40],"given.":[41],"All":[42],"used":[44],"in":[45],"have":[48],"same":[50],"structure.":[51],"feature":[53],"will":[54],"greatly":[55],"improve":[56],"easiness":[58],"their":[60],"implementation.":[61],"result":[63],"is":[64],"illustrated":[65],"by":[66],"some":[67],"simulations.":[68]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}