Optimal Tracking for a Divergent-Type Parabolic PDE System in Current Profile Control
Joint Authors
Ren, Zhigang
Li, S.
Jiang, H.
Xu, Chao
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-11
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We consider the optimal tracking problem for a divergent-type parabolic PDE system, which can be used to model the spatial-temporal evolution of the magnetic diffusion process in a tokamak plasma.
With the feedforward trajectories generated by numerical optimization, we derive a linear system to describe the error evolution.
The weak variation approach is then extended to cylindrical coordinates to obtain a Riccati-type PDE for feedback kernel synthesis.
Then, a finite difference method is used to give numerical solutions for the Riccati-type PDE.
The obtained feedback kernel is finally used to simulate the closed-loop system.
The simulation results demonstrate that the proposed tracking method can attenuate the tracking error effectively.
American Psychological Association (APA)
Li, S.& Jiang, H.& Ren, Zhigang& Xu, Chao. 2014. Optimal Tracking for a Divergent-Type Parabolic PDE System in Current Profile Control. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1015107
Modern Language Association (MLA)
Li, S.…[et al.]. Optimal Tracking for a Divergent-Type Parabolic PDE System in Current Profile Control. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1015107
American Medical Association (AMA)
Li, S.& Jiang, H.& Ren, Zhigang& Xu, Chao. Optimal Tracking for a Divergent-Type Parabolic PDE System in Current Profile Control. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1015107
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015107