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Conference Paper: A Unifying Framework for Global Regulation via Nonlinear Output Feedback

TitleA Unifying Framework for Global Regulation via Nonlinear Output Feedback
Authors
Issue Date2003
Citation
Proceedings Of The Ieee Conference On Decision And Control, 2003, v. 1, p. 1047-1052 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 (iISS) 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 non-linearly, 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/10722/169811
ISSN
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.accessioned2012-10-25T04:55:48Z-
dc.date.available2012-10-25T04:55:48Z-
dc.date.issued2003en_US
dc.identifier.citationProceedings Of The Ieee Conference On Decision And Control, 2003, v. 1, p. 1047-1052en_US
dc.identifier.issn0191-2216en_US
dc.identifier.urihttp://hdl.handle.net/10722/169811-
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 (iISS) 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 non-linearly, 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.ispartofProceedings of the IEEE Conference on Decision and Controlen_US
dc.titleA Unifying Framework for Global Regulation via Nonlinear Output Feedbacken_US
dc.typeConference_Paperen_US
dc.identifier.emailHill, DJ:en_US
dc.identifier.authorityHill, DJ=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/CDC.2003.1272706en_US
dc.identifier.scopuseid_2-s2.0-1542359028en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-1542359028&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume1en_US
dc.identifier.spage1047en_US
dc.identifier.epage1052en_US
dc.identifier.scopusauthoridJiang, ZP=7404279463en_US
dc.identifier.scopusauthoridMareels, I=7004369521en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US
dc.identifier.scopusauthoridHuang, J=54781402700en_US

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