Type Number Based Steady-State Error Analysis on Fractional Order Control Systems

Jinwen Pan; Qing Gao; Jianbin Qiu; Yong Wang

doi:10.1002/asjc.1372

Type Number Based Steady-State Error Analysis on Fractional Order Control Systems

Jinwen Pan^*
, Qing Gao
, Jianbin Qiu
, Yong Wang

^*Corresponding author for this work

University of Science and Technology of China
University of New South Wales
Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, steady-state error of fractional order control systems (FOCSs) is analyzed based on the concept of type number. Some practical definitions of the reference and the error for FOCSs with non-unity feedback are first given. Based on these definitions, the type number concept is first introduced to FOCSs with non-unity feedback. Then steady-state error of various types of FOCSs are analyzed respectively via type number concept. It is also shown that FOCSs with type number more than 1 are not able to track particular reference without changing the sign of the tracking error.

Original language	English
Pages (from-to)	266-278
Number of pages	13
Journal	Asian Journal of Control
Volume	19
Issue number	1
DOIs	https://doi.org/10.1002/asjc.1372
State	Published - 1 Jan 2017
Externally published	Yes

Keywords

Steady-state error
fractional order control systems
non-unity feedback
type number

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10.1002/asjc.1372

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title = "Type Number Based Steady-State Error Analysis on Fractional Order Control Systems",

abstract = "In this paper, steady-state error of fractional order control systems (FOCSs) is analyzed based on the concept of type number. Some practical definitions of the reference and the error for FOCSs with non-unity feedback are first given. Based on these definitions, the type number concept is first introduced to FOCSs with non-unity feedback. Then steady-state error of various types of FOCSs are analyzed respectively via type number concept. It is also shown that FOCSs with type number more than 1 are not able to track particular reference without changing the sign of the tracking error.",

keywords = "Steady-state error, fractional order control systems, non-unity feedback, type number",

author = "Jinwen Pan and Qing Gao and Jianbin Qiu and Yong Wang",

note = "Publisher Copyright: {\textcopyright} 2016 Chinese Automatic Control Society and John Wiley \& Sons Australia, Ltd",

year = "2017",

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doi = "10.1002/asjc.1372",

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T1 - Type Number Based Steady-State Error Analysis on Fractional Order Control Systems

AU - Pan, Jinwen

AU - Gao, Qing

AU - Qiu, Jianbin

AU - Wang, Yong

PY - 2017/1/1

Y1 - 2017/1/1

N2 - In this paper, steady-state error of fractional order control systems (FOCSs) is analyzed based on the concept of type number. Some practical definitions of the reference and the error for FOCSs with non-unity feedback are first given. Based on these definitions, the type number concept is first introduced to FOCSs with non-unity feedback. Then steady-state error of various types of FOCSs are analyzed respectively via type number concept. It is also shown that FOCSs with type number more than 1 are not able to track particular reference without changing the sign of the tracking error.

AB - In this paper, steady-state error of fractional order control systems (FOCSs) is analyzed based on the concept of type number. Some practical definitions of the reference and the error for FOCSs with non-unity feedback are first given. Based on these definitions, the type number concept is first introduced to FOCSs with non-unity feedback. Then steady-state error of various types of FOCSs are analyzed respectively via type number concept. It is also shown that FOCSs with type number more than 1 are not able to track particular reference without changing the sign of the tracking error.

KW - Steady-state error

KW - fractional order control systems

KW - non-unity feedback

KW - type number

UR - https://www.scopus.com/pages/publications/84984706630

U2 - 10.1002/asjc.1372

DO - 10.1002/asjc.1372

M3 - 文章

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SN - 1561-8625

VL - 19

SP - 266

EP - 278

JO - Asian Journal of Control

JF - Asian Journal of Control

IS - 1

ER -

Type Number Based Steady-State Error Analysis on Fractional Order Control Systems

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Keywords

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