Premium
Type Number Based Steady‐State Error Analysis on Fractional Order Control Systems
Author(s) -
Pan Jinwen,
Gao Qing,
Qiu Jianbin,
Wang Yong
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1372
Subject(s) - control theory (sociology) , type (biology) , tracking error , sign (mathematics) , mathematics , tracking (education) , state (computer science) , order (exchange) , steady state (chemistry) , control (management) , computer science , type i and type ii errors , algorithm , statistics , artificial intelligence , mathematical analysis , psychology , ecology , pedagogy , chemistry , finance , economics , biology
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.