Object

Title: Fractional-order system forced-response decomposition and its application

Creator:

Casagrande, Daniele : Autor ; Krajewski, Wiesław : Autor (informatyka) ; Viaro, Umberto : Autor

Date issued/created:

2017

Resource type:

Text

Subtitle:

Raport Badawczy = Research Report ; RB/15/2017

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Description:

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

Type of object:

Book/Chapter

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. The system-dependent component is formed from the same modes as the system and, assuming stability, characterizes the transient behaviour of the system in the response to sustained inputs. The input-dependent component is formed from the same modes as the input, and accounts for the steady-state or long-term response of a stable system to a persistent input. 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

Detailed Resource Type:

Report

Resource Identifier:

oai:rcin.org.pl:144819

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

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