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L2-optimal FOPDT models of high-order rational plants
Subtitle:Raport Badawczy = Research Report ; RB/29/2015
Creator:Casagrande, Daniele ; Krajewski, Wiesław (informatyka) ; Viaro, Umberto
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:14 stron ; 21 cm ; Bibliografia s. 11, 13-14
Subject and Keywords:Warunki optymalności ; Aproksymacja ; Approximation ; L2 norm ; Norma l2 ; Time delay ; Optimality conditions ; Algorithms ; Opóźnienie ; Algorytmy
Abstract:In this paper, necessary conditions for the L2 optimality of a first-order-plus-dead time (FOPDT) model of a high-order plant are derived using classic analytic function theory. They are expressed as a set of three nonlinear equations that partly resemble the interpolation conditions valid for rational approximation. From these conditions a simple procedure to find the optimal FOPDT model is obtained. An example taken from the relevant literature is finally worked out. It turns out that the impulse and step responses of the L2-optimal FOPDT model fit well those of the original high-order rational system.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
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Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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