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Article: Variance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements
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TitleVariance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements
 
AuthorsWang, Z2
Lam, J1
Ma, L3
Bo, Y3
Guo, Z3
 
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
 
CitationJournal Of Mathematical Analysis And Applications, 2011, v. 377 n. 2, p. 645-658 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.jmaa.2010.11.038
 
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.
 
ISSN0022-247X
2013 Impact Factor: 1.119
 
DOIhttp://dx.doi.org/10.1016/j.jmaa.2010.11.038
 
ISI Accession Number IDWOS:000287223400018
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.

 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorWang, Z
 
dc.contributor.authorLam, J
 
dc.contributor.authorMa, L
 
dc.contributor.authorBo, Y
 
dc.contributor.authorGuo, Z
 
dc.date.accessioned2011-09-23T05:49:28Z
 
dc.date.available2011-09-23T05:49:28Z
 
dc.date.issued2011
 
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.
 
dc.description.naturelink_to_subscribed_fulltext
 
dc.identifier.citationJournal Of Mathematical Analysis And Applications, 2011, v. 377 n. 2, p. 645-658 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.jmaa.2010.11.038
 
dc.identifier.citeulike8298382
 
dc.identifier.doihttp://dx.doi.org/10.1016/j.jmaa.2010.11.038
 
dc.identifier.epage658
 
dc.identifier.hkuros196477
 
dc.identifier.isiWOS:000287223400018
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.

 
dc.identifier.issn0022-247X
2013 Impact Factor: 1.119
 
dc.identifier.issue2
 
dc.identifier.scopuseid_2-s2.0-79251622422
 
dc.identifier.spage645
 
dc.identifier.urihttp://hdl.handle.net/10722/139434
 
dc.identifier.volume377
 
dc.languageeng
 
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa
 
dc.publisher.placeUnited States
 
dc.relation.ispartofJournal of Mathematical Analysis and Applications
 
dc.relation.referencesReferences in Scopus
 
dc.subjectDegraded measurements
 
dc.subjectDissipative control
 
dc.subjectNonlinear systems
 
dc.subjectStochastic systems
 
dc.subjectVariance-constrained control
 
dc.titleVariance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong
  2. Brunel University
  3. Nanjing University of Science and Technology