NDLI: Two-dimensional (2-D) system theory based learning controller design

Content Provider	IEEE Xplore Digital Library
Author	Gopinath, S. Kar, I.N. Bhatt, R.K.P.
Copyright Year	2010
Description	Author affiliation: Control & Automation Group, Department of Electrical Engineering, Indian Institute of Technology, NewDelhi-110016, India (Kar, I.N.; Bhatt, R.K.P.) \|\| Control & Optimization Group, Research Department, ABB Global Industries and Services Limited, Corporate Research Center, Bangalore-560048, India (Gopinath, S.)
Abstract	A two-dimensional (2-D) system theory based iterative learning control (ILC) method for a class of linear discrete-time multivariable systems is presented in this paper. Practical ILC schemes comprise of a feed-forward learning controller along with feedback controllers for improved stability and convergence, termed as feedback assisted iterative learning control (FAILC). As a general format we consider that FAILC comprises a learning controller for betterment along iteration axis and two feedback controllers, a state feedback controller and a dynamic error compensator for robustness and convergence along time axis. A 2-D Roesser's model for a class of learning controllers is established, which reveals the connections between ILC systems and 2-D system theory. By proper transformation of FAILC system into a 2-D system model, certain fundamental results from the stabilization of 2-D systems can be successfully utilized for the FAILC design. Simple methods are adopted for the learning gain matrix calculation, by solving two decoupled lower dimensional Riccati equations. The proposed method reduces the complexity of the learning controller design, robust with respect to the small perturbations of the system parameters and with variable initial conditions. The proposed learning algorithm is applied to the injection molding velocity control problem and the results show the effectiveness of the design procedure.
Starting Page	416
Ending Page	421
File Size	399239
Page Count	6
File Format	PDF
ISBN	9781424453627
ISSN	10851992
DOI	10.1109/CCA.2010.5611143
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-09-08
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	State feedback Stability analysis Mathematical model Convergence Robustness Algorithm design and analysis
Content Type	Text
Resource Type	Article

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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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