Existence and design of reduced-order scalar functional observers Trinh, Hieu, Zhang, J. and Nahavandi, Saeid 2002, Existence and design of reduced-order scalar functional observers, in Intelligent systems and control : proceedings of the IASTED international conference ; October 1 - 4, 2002, Tsukuba, Japan, Acta Press, Anaheim, Calif., pp. 134-138. Attached Files Name Description MIMEType Size Downloads Title Existence and design of reduced-order scalar functional observers Author(s) Trinh, Hieu orcid.org/0000-0003-3438-9969 Zhang, J. Nahavandi, Saeid orcid.org/0000-0002-0360-5270 Conference name IASTED international conference (2002 : Tsukuba, Japan) Conference location Tsukuba, Japan Conference dates 1-4 October 2002 Title of proceedings Intelligent systems and control : proceedings of the IASTED international conference ; October 1 - 4, 2002, Tsukuba, Japan Editor(s) Hamza, M.H. Publication date 2002 Start page 134 End page 138 Publisher Acta Press Place of publication Anaheim, Calif. Keyword(s) linear functional observers state observers estimation stability Summary In the existing literature, the existence conditions and design procedures for scalar functional observers are available for the cases where the observers’ order p is either p=1 or p=(v-1), where v is the observability index of the matrix pair (C,A). Therefore, if an observer with an order p=1 does not exist, the other option is to use a high-order observer with p=(v-1). This paper provides the existence conditions and a design procedure for scalar functional observers of order 0≤p≤2, and demonstrates the presented results with a numerical example. where K, M, E, H and G are constant matrices to be designed. The problem of observing a scalar functional or multi functionals (z(t)∈Rk , k>1) of the state vector has been the subject of numerous papers, and different algorithms have been proposed (see, [1]-[13] and references therein). There are also papers that deal with the order reduction of multi-dimensional functional observers [9,10,12,13]. For scalar functional observers, a well-known Luenberger’s classic result [1] provides an upper bound on the order with p=(v-1). It is interesting to note here that, except for a recent result of Darouach [12,13], little results have been reported on the order reduction for scalar functional observers. ISBN 0889863601 9780889863606 Language eng Field of Research 091302 Automation and Control Engineering HERDC Research category E1 Full written paper - refereed Persistent URL http://hdl.handle.net/10536/DRO/DU:30004889 Document type: Conference Paper Collections: Faculty of Science, Engineering and Built Environment School of Engineering and Technology   Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Sun, 08 Nov 2020, 11:10:49 EST Fri, 06 Feb 2015, 10:14:03 EST Filtered Full Citation counts:   Cited 0 times in TR Web of Science Cited 0 times in Scopus Search Google Scholar Access Statistics: 954 Abstract Views, 0 File Downloads  -  Detailed Statistics Created: Mon, 07 Jul 2008, 09:42:46 EST

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