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.

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Title Existence and design of reduced-order scalar functional observers
Author(s) Trinh, HieuORCID iD for Trinh, Hieu orcid.org/0000-0003-3438-9969
Zhang, J.
Nahavandi, SaeidORCID iD for 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
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
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

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