NDLI: Fractional order iterative learning control for fractional order system with unknown initialization

Content Provider	IEEE Xplore Digital Library
Author	Yan Li YangQuan Chen Hyo-Sung Ahn
Copyright Year	2014
Description	Author affiliation: Sch. of Control Sci. & Eng., Shandong Univ., Jinan, China (Yan Li) \|\| Dept. of Mechatron., Gwangju Inst. of Sci. & Technol. (GIST), Bukgu, South Korea (Hyo-Sung Ahn) \|\| Sch. of Eng., Univ. of California, Merced, Merced, CA, USA (YangQuan Chen)
Abstract	This paper reveals a previously ignored problem for fractional order iterative learning control (FOILC) that the fractional order system may have different behaviors when it is initialized differently. To implement a novel scheme of FOILC for this so-called initialized fractional order system, a $D^{α}-type$ control law is applied, and the convergence condition is derived by using the short memory principle and the system preconditioning, which guarantees the repeatability of initialized fractional order system. Given a permitted error bound, the minimum preconditioning time horizon is calculated from the short memory principle. The relationships of memory and convergent performance are highlighted to show the necessity of preconditioning. A fractional order capacitor model with constant history function is illustrated to support the above conclusions.
Starting Page	5712
Ending Page	5717
File Size	256725
Page Count	6
File Format	PDF
ISBN	9781479932726
ISSN	07431619
e-ISBN	9781479932740
DOI	10.1109/ACC.2014.6859010
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-06-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	History Convergence Control systems Fractional calculus Educational institutions Integral equations Electronic mail Iterative learning control
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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