File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Robust H ∞ performance problem for linear systems with nonlinear uncertainties in all system matrices

TitleRobust H ∞ performance problem for linear systems with nonlinear uncertainties in all system matrices
Authors
Issue Date2002
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.asp
Citation
International Journal Of Systems Science, 2002, v. 33 n. 11, p. 885-900 How to Cite?
Abstract
This paper considers robust performance analysis and H ∞ controller design for a class of systems with time-varying and nonlinear uncertainties. These uncertainties are allowed to exist not only in the state, but also in the control input, measurement output, exogenous input and derivative of state. A new sufficient condition based on LMI is first provided to analyse the robust H ∞ performance problem of the free systems. For the general case, it is shown that a solvability condition for the output feedback control problem can be reduced to that of a set of LMIs with algebraic constraints. Then it is shown that in some cases, the constraints can be eliminated through simplifications and the output feedback controller design methods can be provided in terms of LMIs. In particular, two special cases of the systems with nonlinear uncertainties are discussed thoroughly and the design procedures of output feedback controllers are provided via typical LMIs. Furthermore, for a class of systems with both structured and nonlinear uncertainties, a new solvability condition is presented and the corresponding problem also cast into that o fan auxiliary system without uncertainties. A few examples are also given to demonstrate the effectiveness of the proposed approaches.
Persistent Identifierhttp://hdl.handle.net/10722/156651
ISSN
2013 Impact Factor: 1.579
ISI Accession Number ID
References

 

Author Affiliations
  1. University of Manchester
  2. The University of Hong Kong
DC FieldValueLanguage
dc.contributor.authorGuo, Len_US
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-08-08T08:43:23Z-
dc.date.available2012-08-08T08:43:23Z-
dc.date.issued2002en_US
dc.identifier.citationInternational Journal Of Systems Science, 2002, v. 33 n. 11, p. 885-900en_US
dc.identifier.issn0020-7721en_US
dc.identifier.urihttp://hdl.handle.net/10722/156651-
dc.description.abstractThis paper considers robust performance analysis and H ∞ controller design for a class of systems with time-varying and nonlinear uncertainties. These uncertainties are allowed to exist not only in the state, but also in the control input, measurement output, exogenous input and derivative of state. A new sufficient condition based on LMI is first provided to analyse the robust H ∞ performance problem of the free systems. For the general case, it is shown that a solvability condition for the output feedback control problem can be reduced to that of a set of LMIs with algebraic constraints. Then it is shown that in some cases, the constraints can be eliminated through simplifications and the output feedback controller design methods can be provided in terms of LMIs. In particular, two special cases of the systems with nonlinear uncertainties are discussed thoroughly and the design procedures of output feedback controllers are provided via typical LMIs. Furthermore, for a class of systems with both structured and nonlinear uncertainties, a new solvability condition is presented and the corresponding problem also cast into that o fan auxiliary system without uncertainties. A few examples are also given to demonstrate the effectiveness of the proposed approaches.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.aspen_US
dc.relation.ispartofInternational Journal of Systems Scienceen_US
dc.titleRobust H ∞ performance problem for linear systems with nonlinear uncertainties in all system matricesen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1080/00207720210167131en_US
dc.identifier.scopuseid_2-s2.0-0037107237en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037107237&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume33en_US
dc.identifier.issue11en_US
dc.identifier.spage885en_US
dc.identifier.epage900en_US
dc.identifier.isiWOS:000180627000003-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridGuo, L=35264182200en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats