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Existence and design of reduced-order scalar functional observers
conference contribution
posted on 2002-01-01, 00:00 authored by Hieu TrinhHieu Trinh, J Zhang, Saeid NahavandiIn 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.
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Title of proceedings
Intelligent systems and control : proceedings of the IASTED international conference ; October 1 - 4, 2002, Tsukuba, JapanEvent
IASTED international conference (2002 : Tsukuba, Japan)Pagination
134 - 138Publisher
Acta PressLocation
Tsukuba, JapanPlace of publication
Anaheim, Calif.Start date
2002-10-01End date
2002-10-04ISBN-13
9780889863606ISBN-10
0889863601Language
engPublication classification
E1 Full written paper - refereedEditor/Contributor(s)
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