Optimal Tracking for a Divergent‐Type Parabolic PDE System in Current Profile Control

S. Li, H. Jiang, Z. Ren and C. Xu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/940965

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:940965

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