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2014 Optimal Tracking for a Divergent-Type Parabolic PDE System in Current Profile Control
S. Li, H. Jiang, Z. Ren, C. Xu
Abstr. Appl. Anal. 2014(SI13): 1-8 (2014). DOI: 10.1155/2014/940965


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.


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S. Li. H. Jiang. Z. Ren. C. Xu. "Optimal Tracking for a Divergent-Type Parabolic PDE System in Current Profile Control." Abstr. Appl. Anal. 2014 (SI13) 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023358
MathSciNet: MR3224327
Digital Object Identifier: 10.1155/2014/940965

Rights: Copyright © 2014 Hindawi


Vol.2014 • No. SI13 • 2014
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