{"id":"https://openalex.org/W2290197921","doi":"https://doi.org/10.1109/cdc.2015.7402961","title":"Frequency domain analysis of HOSM systems","display_name":"Frequency domain analysis of HOSM systems","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2290197921","doi":"https://doi.org/10.1109/cdc.2015.7402961","mag":"2290197921"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7402961","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402961","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5000309086","display_name":"Antonio Rosales","orcid":"https://orcid.org/0000-0003-3548-8950"},"institutions":[{"id":"https://openalex.org/I82495205","display_name":"University of Alabama in Huntsville","ror":"https://ror.org/02zsxwr40","country_code":"US","type":"education","lineage":["https://openalex.org/I82495205"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Antonio Rosales","raw_affiliation_strings":["Electrical and Computer Engineering Dept, The University of Alabama in Huntsville, Huntsville, AL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Dept, The University of Alabama in Huntsville, Huntsville, AL, USA","institution_ids":["https://openalex.org/I82495205"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016345401","display_name":"Yuri Shtessel","orcid":"https://orcid.org/0000-0003-4980-2621"},"institutions":[{"id":"https://openalex.org/I82495205","display_name":"University of Alabama in Huntsville","ror":"https://ror.org/02zsxwr40","country_code":"US","type":"education","lineage":["https://openalex.org/I82495205"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuri Shtessel","raw_affiliation_strings":["Electrical and Computer Engineering Dept, The University of Alabama in Huntsville, Huntsville, AL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Dept, The University of Alabama in Huntsville, Huntsville, AL, USA","institution_ids":["https://openalex.org/I82495205"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032593897","display_name":"Leonid Fridman","orcid":"https://orcid.org/0000-0003-0208-3615"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Leonid Fridman","raw_affiliation_strings":["Deparment of Control and Robotics, National Autonomus University of Mexico, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deparment of Control and Robotics, National Autonomus University of Mexico, Mexico City, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056634722","display_name":"Chandrasekhara Bharath Panathula","orcid":"https://orcid.org/0000-0002-0720-2786"},"institutions":[{"id":"https://openalex.org/I82495205","display_name":"University of Alabama in Huntsville","ror":"https://ror.org/02zsxwr40","country_code":"US","type":"education","lineage":["https://openalex.org/I82495205"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chandrasekhara Bharath Panathula","raw_affiliation_strings":["University of Alabama in Huntsville, Huntsville, AL, US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Alabama in Huntsville, Huntsville, AL, US","institution_ids":["https://openalex.org/I82495205"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0225,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80975948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"4758","last_page":"4763"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.998199999332428,"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":0.998199999332428,"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/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9959999918937683,"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/robustness","display_name":"Robustness (evolution)","score":0.8294872045516968},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7773169279098511},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.7362580299377441},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.7199532985687256},{"id":"https://openalex.org/keywords/describing-function","display_name":"Describing function","score":0.6445441246032715},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5220308303833008},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.49211663007736206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3395775556564331},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3186485171318054},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.28722766041755676},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23316046595573425},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17592790722846985},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13167217373847961}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.8294872045516968},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7773169279098511},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.7362580299377441},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.7199532985687256},{"id":"https://openalex.org/C147317941","wikidata":"https://www.wikidata.org/wiki/Q1925419","display_name":"Describing function","level":3,"score":0.6445441246032715},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5220308303833008},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.49211663007736206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3395775556564331},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3186485171318054},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.28722766041755676},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23316046595573425},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17592790722846985},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13167217373847961},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2015.7402961","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402961","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1516289514","https://openalex.org/W1579773745","https://openalex.org/W1967481037","https://openalex.org/W1980972935","https://openalex.org/W1999558720","https://openalex.org/W2003587649","https://openalex.org/W2010061639","https://openalex.org/W2019341428","https://openalex.org/W2026913085","https://openalex.org/W2089161570","https://openalex.org/W2093920329","https://openalex.org/W2105152026","https://openalex.org/W2113766349","https://openalex.org/W2146188177","https://openalex.org/W2403486880","https://openalex.org/W2420367108","https://openalex.org/W3149194971"],"related_works":["https://openalex.org/W4388297534","https://openalex.org/W2051439117","https://openalex.org/W2564887547","https://openalex.org/W2128719156","https://openalex.org/W1673883441","https://openalex.org/W4298109871","https://openalex.org/W2048494080","https://openalex.org/W2083477739","https://openalex.org/W4248124207","https://openalex.org/W2089966216"],"abstract_inverted_index":{"The":[0,24],"frequency":[1,121],"domain":[2],"analysis":[3,28],"of":[4,26,39,96,138,150],"dynamically":[5],"perturbed":[6],"Higher":[7],"Order":[8],"Sliding":[9],"Mode":[10],"(HOSM)":[11],"systems":[12,82],"is":[13,29,55,83,109],"tackled":[14],"using":[15],"Describing":[16],"Function":[17],"(DF)":[18],"and":[19,42,85,90,120,127,161],"Harmonic":[20],"Balance":[21],"(HB)":[22],"techniques.":[23],"goal":[25],"this":[27],"to":[30,57,72,111,141,146],"study":[31],"possible":[32],"limit":[33,74,152],"cycles":[34],"in":[35,63,79,104,155],"such":[36],"systems.":[37],"DFs":[38],"Nested":[40],"3rd":[41],"4th":[43],"order":[44],"algorithms":[45],"are":[46,92,144,168],"obtained":[47,166],"for":[48,136],"the":[49,59,64,68,80,86,101,105,114,118,134,148,151,156,165],"first":[50],"time.":[51],"Then,":[52],"HB":[53],"equation":[54],"used":[56],"analyze":[58],"real":[60,106,139,157],"sliding":[61,69],"motion":[62],"HOSM":[65,81,107,140,158],"system,":[66,108],"where":[67],"set":[70],"converges":[71],"a":[73],"cycle.":[75],"Chattering":[76],"(limit":[77],"cycle)":[78],"studied,":[84],"chattering":[87,115],"parameters":[88,116],"(amplitude":[89],"frequency)":[91],"computed.":[93],"A":[94],"definition":[95],"Tolerance":[97],"Limits,":[98],"which":[99,132],"characterizes":[100],"acceptable":[102],"performance":[103],"applied":[110,145],"verify":[112],"if":[113],"fit":[117],"amplitude":[119],"limits.":[122],"Next,":[123],"Performance":[124,128],"Phase":[125],"Margin":[126,130],"Gain":[129],"definitions,":[131],"give":[133],"metrics":[135],"robustness":[137,149],"unmodeled":[142],"dynamics,":[143],"assess":[147],"cycle":[153],"emerged":[154],"system.":[159],"Examples":[160],"simulations":[162],"that":[163],"validate":[164],"results":[167],"presented.":[169]},"counts_by_year":[{"year":2016,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
