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Article: Adaptive linear control of nonlinear systems

TitleAdaptive linear control of nonlinear systems
Authors
Issue Date1990
Citation
Ieee Transactions On Automatic Control, 1990, v. 35 n. 11, p. 1253-1257 How to Cite?
AbstractThe theory of stable parameter adaptive control has advanced to allow linear time-varying plants. However, a more honest view of such systems is that they are often derived from inexact linearization about a trajectory of a nonlinear system. Standard adaptive control based on a linear model can then be interpreted as one way to realize a nonlinear controller for a nonlinear plant. The implications of this view are studied. Analytically, the stability problem is seen to be equivalent to showing robustness to time-varying parameters and a locally bounded model uncertainty. It is shown that if the trajectory is known to be within a bound, a parameter estimator with projection can ensure boundedness of departures from the trajectory.
Persistent Identifierhttp://hdl.handle.net/10722/169627
ISSN
2015 Impact Factor: 2.777
2015 SCImago Journal Rankings: 4.238
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWen, Changyunen_US
dc.contributor.authorHill, David Jen_US
dc.date.accessioned2012-10-25T04:53:56Z-
dc.date.available2012-10-25T04:53:56Z-
dc.date.issued1990en_US
dc.identifier.citationIeee Transactions On Automatic Control, 1990, v. 35 n. 11, p. 1253-1257en_US
dc.identifier.issn0018-9286en_US
dc.identifier.urihttp://hdl.handle.net/10722/169627-
dc.description.abstractThe theory of stable parameter adaptive control has advanced to allow linear time-varying plants. However, a more honest view of such systems is that they are often derived from inexact linearization about a trajectory of a nonlinear system. Standard adaptive control based on a linear model can then be interpreted as one way to realize a nonlinear controller for a nonlinear plant. The implications of this view are studied. Analytically, the stability problem is seen to be equivalent to showing robustness to time-varying parameters and a locally bounded model uncertainty. It is shown that if the trajectory is known to be within a bound, a parameter estimator with projection can ensure boundedness of departures from the trajectory.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Automatic Controlen_US
dc.titleAdaptive linear control of nonlinear systemsen_US
dc.typeArticleen_US
dc.identifier.emailHill, David J:en_US
dc.identifier.authorityHill, David J=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/9.59813en_US
dc.identifier.scopuseid_2-s2.0-0025519241en_US
dc.identifier.volume35en_US
dc.identifier.issue11en_US
dc.identifier.spage1253en_US
dc.identifier.epage1257en_US
dc.identifier.isiWOS:A1990EE31200011-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridWen, Changyun=7201366998en_US
dc.identifier.scopusauthoridHill, David J=35398599500en_US

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