Title:

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:

Warszawa

Date issued/created:

2015

Description:

14 pages ; 21 cm ; Bibliography p. 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:

Text

Detailed Resource Type:

Report

Source:

RB-2015-29

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open