NDLI: Stability analysis for a class of fractional-order system with commensurate order

Content Provider	IEEE Xplore Digital Library
Author	Dongfeng Wang Xiaoyan Wang Pu Han
Copyright Year	2010
Description	Author affiliation: School of Control Science and Engineering, North China Electric Power University, Baoding, Hebei, China (Dongfeng Wang; Xiaoyan Wang; Pu Han)
Abstract	Aiming at a class of linear time-invariant fractional-order system (LTI-FOS) with commensurate order- which is similar to traditional second order system, the range of damping ratio is derived for the closed-loop stability of this special kind of FOS based on sufficient and necessary conditions. The stable parameters region is wider than that of traditional second order system. The existing fractional Nyquist stability criterion and logarithmic Frequency stability criterion can not be directly used while fractional order integral unit exists in open-loop transfer function. A method of drawing auxiliary arc on the Nyquist diagram and auxiliary line on the Bode diagram is given. Then the stability and relative stability analysis for this special kind of FOS is evaluated using this method. Finally a conclusion under the condition of the same angular frequency and damping ratio is drawn: the bigger of the fractional order, the smaller of relative stability.
Starting Page	3472
Ending Page	3478
File Size	2837795
Page Count	7
File Format	PDF
ISBN	9781424467129
e-ISBN	9781424467129
DOI	10.1109/WCICA.2010.5553951
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-07
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Bode diagram fractional order system commensurate order stability Nyquist stability criterion
Content Type	Text
Resource Type	Article

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