Optimal Control of H-Mode Tokamak Plasma Temperature based on Pontryagin's Principle
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914142639620096 |
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| author | Jmal, Slim Tacchi-Bénard, Matteo Witrant, Emmanuel |
| author_facet | Jmal, Slim Tacchi-Bénard, Matteo Witrant, Emmanuel |
| contents | This paper studies the decay of an objective functional using a new control technique within Pontryagin's framework. Convergence analysis is carried out on the infinite-dimensional space of Tokamak plasma dynamical state as described by weakly decoupled nonlinear partial differential equations. An adjoint-based optimal control is derived to minimize the deviation from a predefined dynamical trajectory leading to the desired target state at stationary regime, by turning Pontryagin's transversality conditions into a continuum of horizons. A feedback controller is proposed to steer the system efficiently in real time, as opposed to an open-loop controller resulting from the classical Pontryagin's setting. An algorithm synthesizing the constraint-free optimal controller is used for profile tracking based on experimental data. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_05382 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal Control of H-Mode Tokamak Plasma Temperature based on Pontryagin's Principle Jmal, Slim Tacchi-Bénard, Matteo Witrant, Emmanuel Optimization and Control This paper studies the decay of an objective functional using a new control technique within Pontryagin's framework. Convergence analysis is carried out on the infinite-dimensional space of Tokamak plasma dynamical state as described by weakly decoupled nonlinear partial differential equations. An adjoint-based optimal control is derived to minimize the deviation from a predefined dynamical trajectory leading to the desired target state at stationary regime, by turning Pontryagin's transversality conditions into a continuum of horizons. A feedback controller is proposed to steer the system efficiently in real time, as opposed to an open-loop controller resulting from the classical Pontryagin's setting. An algorithm synthesizing the constraint-free optimal controller is used for profile tracking based on experimental data. |
| title | Optimal Control of H-Mode Tokamak Plasma Temperature based on Pontryagin's Principle |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2511.05382 |