File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Variance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements

TitleVariance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements
Authors
KeywordsDegraded measurements
Dissipative control
Nonlinear systems
Stochastic systems
Variance-constrained control
Issue Date2011
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa
Citation
Journal Of Mathematical Analysis And Applications, 2011, v. 377 n. 2, p. 645-658 How to Cite?
AbstractThis paper is concerned with the variance-constrained dissipative control problem for a class of stochastic nonlinear systems with multiple degraded measurements, where the degraded probability for each sensor is governed by an individual random variable satisfying a certain probabilistic distribution over a given interval. The purpose of the problem is to design an observer-based controller such that, for all possible degraded measurements, the closed-loop system is exponentially mean-square stable and strictly dissipative, while the individual steady-state variance is not more than the pre-specified upper bound constraints. A general framework is established so that the required exponential mean-square stability, dissipativity as well as the variance constraints can be easily enforced. A sufficient condition is given for the solvability of the addressed multiobjective control problem, and the desired observer and controller gains are characterized in terms of the solution to a convex optimization problem that can be easily solved by using the semi-definite programming method. Finally, a numerical example is presented to show the effectiveness and applicability of the proposed algorithm. © 2010 Elsevier Inc.
Persistent Identifierhttp://hdl.handle.net/10722/139434
ISSN
2014 Impact Factor: 1.120
ISI Accession Number ID
Funding AgencyGrant Number
Royal Academy of Engineering of the UK
Royal Society of the UK
GRF HKU7137/09E
National Natural Science Foundation of China61028008
International Science and Technology Cooperation Project of China2009DFA32050
Alexander von Humboldt Foundation of Germany
Funding Information:

This work was supported in part by the Distinguished Visiting Fellowship of the Royal Academy of Engineering of the UK, the Royal Society of the UK, the GRF HKU 7137/09E, the National Natural Science Foundation of China under Grant 61028008, the International Science and Technology Cooperation Project of China under Grant 2009DFA32050, and the Alexander von Humboldt Foundation of Germany.

References

 

DC FieldValueLanguage
dc.contributor.authorWang, Zen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorMa, Len_HK
dc.contributor.authorBo, Yen_HK
dc.contributor.authorGuo, Zen_HK
dc.date.accessioned2011-09-23T05:49:28Z-
dc.date.available2011-09-23T05:49:28Z-
dc.date.issued2011en_HK
dc.identifier.citationJournal Of Mathematical Analysis And Applications, 2011, v. 377 n. 2, p. 645-658en_HK
dc.identifier.issn0022-247Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/139434-
dc.description.abstractThis paper is concerned with the variance-constrained dissipative control problem for a class of stochastic nonlinear systems with multiple degraded measurements, where the degraded probability for each sensor is governed by an individual random variable satisfying a certain probabilistic distribution over a given interval. The purpose of the problem is to design an observer-based controller such that, for all possible degraded measurements, the closed-loop system is exponentially mean-square stable and strictly dissipative, while the individual steady-state variance is not more than the pre-specified upper bound constraints. A general framework is established so that the required exponential mean-square stability, dissipativity as well as the variance constraints can be easily enforced. A sufficient condition is given for the solvability of the addressed multiobjective control problem, and the desired observer and controller gains are characterized in terms of the solution to a convex optimization problem that can be easily solved by using the semi-definite programming method. Finally, a numerical example is presented to show the effectiveness and applicability of the proposed algorithm. © 2010 Elsevier Inc.en_HK
dc.languageengen_US
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaaen_HK
dc.relation.ispartofJournal of Mathematical Analysis and Applicationsen_HK
dc.subjectDegraded measurementsen_HK
dc.subjectDissipative controlen_HK
dc.subjectNonlinear systemsen_HK
dc.subjectStochastic systemsen_HK
dc.subjectVariance-constrained controlen_HK
dc.titleVariance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurementsen_HK
dc.typeArticleen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jmaa.2010.11.038en_HK
dc.identifier.scopuseid_2-s2.0-79251622422en_HK
dc.identifier.hkuros196477en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79251622422&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume377en_HK
dc.identifier.issue2en_HK
dc.identifier.spage645en_HK
dc.identifier.epage658en_HK
dc.identifier.isiWOS:000287223400018-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWang, Z=35231712300en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridMa, L=8650414700en_HK
dc.identifier.scopusauthoridBo, Y=14824533400en_HK
dc.identifier.scopusauthoridGuo, Z=7404657490en_HK
dc.identifier.citeulike8298382-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats