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Article: A unifying framework for global regulation via nonlinear output feedback: From ISS to iISS

TitleA unifying framework for global regulation via nonlinear output feedback: From ISS to iISS
Authors
KeywordsInput-To-State Stability (Iss)
Integral Iss (Iiss)
Nonlinear Systems
Output Feedback
Small-Gain
Universal Adaptive Control
Unknown Control Direction
Issue Date2004
Citation
Ieee Transactions On Automatic Control, 2004, v. 49 n. 4, p. 549-562 How to Cite?
AbstractThis paper presents a unifying framework for the problem of robust global regulation via output feedback for nonlinear systems with integral input-to-state stable inverse dynamics, subject to possibly unknown control direction. The contribution of the paper is two-fold. Firstly, we consider the problem of global regulation, instead of global asymptotic stabilization (GAS), for systems with generalized dynamic uncertainties. It is shown by an elementary example that GAS is not solvable using conventional smooth output feedback. Secondly, we reduce the stability requirements for the disturbance and demand relaxed assumptions for the system. Using our framework, most of the known classes of output feedback form systems are broadened in several directions: unmeasured states and unknown parameters can appear nonlinearly, restrictive matching and growth assumptions are removed, the dynamic uncertainty satisfies the weaker condition of Sontag's integral input-to-state stability, and the sign of high-frequency gain may be unknown. A constructive strategy is proposed to design a dynamic output feedback control law, that drives the state to the origin while keeping all other closed-loop signals bounded.
Persistent Identifierhttp://hdl.handle.net/10722/169696
ISSN
2015 Impact Factor: 2.777
2015 SCImago Journal Rankings: 4.238
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorJiang, ZPen_US
dc.contributor.authorMareels, Ien_US
dc.contributor.authorHill, DJen_US
dc.contributor.authorHuang, Jen_US
dc.date.accessioned2012-10-25T04:54:15Z-
dc.date.available2012-10-25T04:54:15Z-
dc.date.issued2004en_US
dc.identifier.citationIeee Transactions On Automatic Control, 2004, v. 49 n. 4, p. 549-562en_US
dc.identifier.issn0018-9286en_US
dc.identifier.urihttp://hdl.handle.net/10722/169696-
dc.description.abstractThis paper presents a unifying framework for the problem of robust global regulation via output feedback for nonlinear systems with integral input-to-state stable inverse dynamics, subject to possibly unknown control direction. The contribution of the paper is two-fold. Firstly, we consider the problem of global regulation, instead of global asymptotic stabilization (GAS), for systems with generalized dynamic uncertainties. It is shown by an elementary example that GAS is not solvable using conventional smooth output feedback. Secondly, we reduce the stability requirements for the disturbance and demand relaxed assumptions for the system. Using our framework, most of the known classes of output feedback form systems are broadened in several directions: unmeasured states and unknown parameters can appear nonlinearly, restrictive matching and growth assumptions are removed, the dynamic uncertainty satisfies the weaker condition of Sontag's integral input-to-state stability, and the sign of high-frequency gain may be unknown. A constructive strategy is proposed to design a dynamic output feedback control law, that drives the state to the origin while keeping all other closed-loop signals bounded.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Automatic Controlen_US
dc.subjectInput-To-State Stability (Iss)en_US
dc.subjectIntegral Iss (Iiss)en_US
dc.subjectNonlinear Systemsen_US
dc.subjectOutput Feedbacken_US
dc.subjectSmall-Gainen_US
dc.subjectUniversal Adaptive Controlen_US
dc.subjectUnknown Control Directionen_US
dc.titleA unifying framework for global regulation via nonlinear output feedback: From ISS to iISSen_US
dc.typeArticleen_US
dc.identifier.emailHill, DJ:en_US
dc.identifier.authorityHill, DJ=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/TAC.2004.825663en_US
dc.identifier.scopuseid_2-s2.0-2442664176en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-2442664176&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume49en_US
dc.identifier.issue4en_US
dc.identifier.spage549en_US
dc.identifier.epage562en_US
dc.identifier.isiWOS:000220884800007-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridJiang, ZP=7404279463en_US
dc.identifier.scopusauthoridMareels, I=7004369521en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US
dc.identifier.scopusauthoridHuang, J=7407189939en_US

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