{"id":"https://openalex.org/W4417439597","doi":"https://doi.org/10.48550/arxiv.2507.16281","title":"The Bode Plots for Sliding-Mode Control Design","display_name":"The Bode Plots for Sliding-Mode Control Design","publication_year":2025,"publication_date":"2025-07-22","ids":{"openalex":"https://openalex.org/W4417439597","doi":"https://doi.org/10.48550/arxiv.2507.16281"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2507.16281","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.16281","pdf_url":"https://arxiv.org/pdf/2507.16281","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2507.16281","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028041672","display_name":"Ulises P\u00e9rez\u2010Ventura","orcid":"https://orcid.org/0000-0002-3151-0391"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"P\u00e9rez-Ventura, Ulises","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028041672"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.6305000185966492,"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":0.6305000185966492,"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/T11096","display_name":"Aeroelasticity and Vibration Control","score":0.18860000371932983,"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/T12125","display_name":"Aerospace and Aviation Technology","score":0.03519999980926514,"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/control-theory","display_name":"Control theory (sociology)","score":0.8769999742507935},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.7128999829292297},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.6462000012397766},{"id":"https://openalex.org/keywords/describing-function","display_name":"Describing function","score":0.6424999833106995},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5555999875068665},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5547999739646912},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5519000291824341},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5253000259399414},{"id":"https://openalex.org/keywords/bode-plot","display_name":"Bode plot","score":0.46000000834465027}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8769999742507935},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.7128999829292297},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.6462000012397766},{"id":"https://openalex.org/C147317941","wikidata":"https://www.wikidata.org/wiki/Q1925419","display_name":"Describing function","level":3,"score":0.6424999833106995},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5555999875068665},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5547999739646912},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5519000291824341},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5253000259399414},{"id":"https://openalex.org/C92487091","wikidata":"https://www.wikidata.org/wiki/Q245627","display_name":"Bode plot","level":3,"score":0.46000000834465027},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4490000009536743},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.43389999866485596},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42260000109672546},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.41290000081062317},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.40459999442100525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39750000834465027},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3847000002861023},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.35740000009536743},{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.3546999990940094},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.3100000023841858},{"id":"https://openalex.org/C81370116","wikidata":"https://www.wikidata.org/wiki/Q1335249","display_name":"Time constant","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3021000027656555},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.2858000099658966},{"id":"https://openalex.org/C81455027","wikidata":"https://www.wikidata.org/wiki/Q7180955","display_name":"Phase margin","level":5,"score":0.2797999978065491},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2660999894142151},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.26489999890327454},{"id":"https://openalex.org/C28427503","wikidata":"https://www.wikidata.org/wiki/Q13580300","display_name":"Internal model","level":3,"score":0.26269999146461487},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.2508000135421753}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2507.16281","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.16281","pdf_url":"https://arxiv.org/pdf/2507.16281","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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.2507.16281","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2507.16281","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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2507.16281","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.16281","pdf_url":"https://arxiv.org/pdf/2507.16281","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"develops":[2],"a":[3,106],"unified":[4],"frequency-domain":[5],"framework":[6,116],"for":[7,29,68,156],"the":[8,30,53,84,87,93,98,111,131,137],"analysis":[9],"of":[10,34,55,97,140],"sliding-mode":[11,141],"control":[12,58],"systems,":[13],"encompassing":[14],"both":[15,78],"discontinuous":[16],"and":[17,32,60,70,80,95,151,158],"Lipschitz-continuous":[18],"implementations.":[19],"Using":[20],"describing":[21],"function":[22],"(DF)":[23],"theory,":[24],"closed-form":[25],"expressions":[26],"are":[27,73],"derived":[28],"amplitude":[31,94],"frequency":[33],"chattering":[35,127,152],"oscillations,":[36],"as":[37,39],"well":[38],"equivalent":[40],"gain":[41,145],"(EG)":[42],"models":[43],"that":[44,110,126,147],"enable":[45],"closed-loop":[46],"sensitivity":[47,89],"analysis.":[48],"The":[49,115],"proposed":[50],"methodology":[51],"captures":[52],"influence":[54],"actuator":[56,157],"dynamics,":[57],"parameters,":[59],"disturbance":[61,149],"profiles":[62],"on":[63],"steady-state":[64],"performance.":[65],"Theoretical":[66],"predictions":[67],"bias":[69],"oscillatory":[71],"components":[72],"validated":[74],"through":[75],"simulations":[76],"under":[77],"constant":[79],"sinusoidal":[81],"perturbations.":[82],"In":[83],"low-frequency":[85],"regime,":[86],"EG-based":[88],"functions":[90],"accurately":[91],"predict":[92],"phase":[96],"system":[99],"response,":[100],"with":[101],"tracking":[102],"errors":[103],"remaining":[104],"within":[105],"15\\%":[107],"margin,":[108],"provided":[109],"DF":[112],"assumptions":[113],"hold.":[114],"also":[117],"incorporates":[118],"orbital":[119],"stability":[120],"considerations":[121],"via":[122],"Loebs":[123],"criterion,":[124],"ensuring":[125],"remains":[128],"bounded.":[129],"Overall,":[130],"results":[132],"offer":[133],"practical":[134],"insight":[135],"into":[136],"robust":[138],"design":[139],"controllers,":[142],"enabling":[143],"systematic":[144],"tuning":[146],"balances":[148],"rejection":[150],"attenuation,":[153],"while":[154],"accounting":[155],"sensor":[159],"constraints.":[160]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}
