Title:

Fractional-order system forced-response decomposition and its application

Subtitle:

Raport Badawczy = Research Report ; RB/15/2017

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:

2017

Description:

27 pages ; 21 cm ; Bibliography p. 25-27

Subject and Keywords:

Stability ; Stabilność ; Model reduction ; Redukcja modelu ; Steady–state response ; Reakcja stanu ustalonego ; Rational-order system ; System racjonalnego porządku ; Continuous-time system ; System ciągły ; Lti system ; System lti ; Polynomial diophantine equation ; Wielomianowe równanie diofantyczne ; Stability criteria ; Kryteria stabilności ; Transient response ; Odpowiedź przejściowa

Abstract:

This chapter deals with the additive decomposition of the forced response of a fractional-order system. Precisely, it is shown how, by solving a simple polynomial Diophantine equation, this response can almost always be decomposed into the sum of a system-dependent component and an input-dependent component. Simple conditions based on the classical Routh and Mikhailov criteria are provided to check the system input-output stability. Several examples show that the aforementioned decomposition can profitably be exploited to find simplified models in such a way that the asymptotic response is kept unchanged and, at the same time, the transient behaviour is well approximated. The decomposition proves useful also for solving the so-called model-matching problem that is of particular interest in controller synthesis.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2017-15

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