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

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 int...

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Bibliographic Details
Published in:Asian journal of control 2017-01, Vol.19 (1), p.266-278
Main Authors: Pan, Jinwen, Gao, Qing, Qiu, Jianbin, Wang, Yong
Format: Article
Language:English
Subjects:
Control systems
fractional order control systems
non‐unity feedback
Steady‐state error
type number
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Summary: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.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.1372