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Article: Positive state-bounding observer for positive interval continuous-time systems with time delay
Title | Positive state-bounding observer for positive interval continuous-time systems with time delay | ||||
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Authors | |||||
Keywords | Interval Systems Linear Matrix Inequality Positive Observer Positive Systems State-Bounding Observer Time Delay | ||||
Issue Date | 2012 | ||||
Publisher | John 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? | ||||
Abstract | This 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 Identifier | http://hdl.handle.net/10722/157113 | ||||
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.459 | ||||
ISI Accession Number ID |
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 Field | Value | Language |
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dc.contributor.author | Li, P | en_US |
dc.contributor.author | Lam, J | en_US |
dc.date.accessioned | 2012-08-08T08:45:23Z | - |
dc.date.available | 2012-08-08T08:45:23Z | - |
dc.date.issued | 2012 | en_US |
dc.identifier.citation | International Journal Of Robust And Nonlinear Control, 2012, v. 22 n. 11, p. 1244-1257 | en_US |
dc.identifier.issn | 1049-8923 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/157113 | - |
dc.description.abstract | This 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.language | eng | en_US |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510 | en_US |
dc.relation.ispartof | International Journal of Robust and Nonlinear Control | en_US |
dc.subject | Interval Systems | en_US |
dc.subject | Linear Matrix Inequality | en_US |
dc.subject | Positive Observer | en_US |
dc.subject | Positive Systems | en_US |
dc.subject | State-Bounding Observer | en_US |
dc.subject | Time Delay | en_US |
dc.title | Positive state-bounding observer for positive interval continuous-time systems with time delay | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_US |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1002/rnc.1752 | en_US |
dc.identifier.scopus | eid_2-s2.0-84862869630 | en_US |
dc.identifier.hkuros | 223445 | - |
dc.identifier.isi | WOS:000305575200005 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Li, P=35069715100 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.issnl | 1049-8923 | - |