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Article: Positive state-bounding observer for positive interval continuous-time systems with time delay

TitlePositive state-bounding observer for positive interval continuous-time systems with time delay
Authors
KeywordsInterval Systems
Linear Matrix Inequality
Positive Observer
Positive Systems
State-Bounding Observer
Time Delay
Issue Date2012
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510
Citation
International Journal Of Robust And Nonlinear Control, 2012, v. 22 n. 11, p. 1244-1257 How to Cite?
AbstractThis paper is concerned with the problem of positive observer synthesis for positive systems with both interval parameter uncertainties and time delay. Conventional observers may no longer be applicable for such kind of systems due to the positivity constraint on the observers, and they only provide an estimate of the system state in an asymptotic way. A pair of positive observers with state-bounding feature is proposed to estimate the state of positive systems at all times in this paper. A necessary and sufficient condition for the existence of desired observers is first established, and the observer matrices can be obtained easily through the solutions of a set of linear matrix inequalities (LMIs). Then, to reduce the error signal between the system state and its estimates, an iterative LMI algorithm is developed to compute the optimized state-bounding observer matrices. Finally, a numerical example is presented to show the effectiveness and applicability of the theoretical results.© 2011 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/157113
ISSN
2015 Impact Factor: 2.527
2015 SCImago Journal Rankings: 2.134
ISI Accession Number ID
Funding AgencyGrant Number
GRF HKU7138/10E
Funding Information:

The authors would like to thank the editor-in-chief, the associate editor and the anonymous reviewers for their constructive comments and suggestions to improve the quality of the paper. This work was partially supported by GRF HKU 7138/10E.

 

DC FieldValueLanguage
dc.contributor.authorLi, Pen_US
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-08-08T08:45:23Z-
dc.date.available2012-08-08T08:45:23Z-
dc.date.issued2012en_US
dc.identifier.citationInternational Journal Of Robust And Nonlinear Control, 2012, v. 22 n. 11, p. 1244-1257en_US
dc.identifier.issn1049-8923en_US
dc.identifier.urihttp://hdl.handle.net/10722/157113-
dc.description.abstractThis paper is concerned with the problem of positive observer synthesis for positive systems with both interval parameter uncertainties and time delay. Conventional observers may no longer be applicable for such kind of systems due to the positivity constraint on the observers, and they only provide an estimate of the system state in an asymptotic way. A pair of positive observers with state-bounding feature is proposed to estimate the state of positive systems at all times in this paper. A necessary and sufficient condition for the existence of desired observers is first established, and the observer matrices can be obtained easily through the solutions of a set of linear matrix inequalities (LMIs). Then, to reduce the error signal between the system state and its estimates, an iterative LMI algorithm is developed to compute the optimized state-bounding observer matrices. Finally, a numerical example is presented to show the effectiveness and applicability of the theoretical results.© 2011 John Wiley & Sons, Ltd.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510en_US
dc.relation.ispartofInternational Journal of Robust and Nonlinear Controlen_US
dc.subjectInterval Systemsen_US
dc.subjectLinear Matrix Inequalityen_US
dc.subjectPositive Observeren_US
dc.subjectPositive Systemsen_US
dc.subjectState-Bounding Observeren_US
dc.subjectTime Delayen_US
dc.titlePositive state-bounding observer for positive interval continuous-time systems with time delayen_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.doi10.1002/rnc.1752en_US
dc.identifier.scopuseid_2-s2.0-84862869630en_US
dc.identifier.hkuros223445-
dc.identifier.isiWOS:000305575200005-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLi, P=35069715100en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US

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