Bootstrap current optimization in Tokamaks using sum-of-squares polynomials

A. Gahlawat, E. Witrant, Matthew Peet, M. Alamir

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Citations (Scopus)

Abstract

In this paper we present a Lyapunov based feedback design strategy, by employing the sum-of-squares polynomials framework, to maximize the bootstrap current in tokamaks. The bootstrap current may play an important role in reducing the external energy input required for tokamak operation. The sum-of-squares polynomials framework allows us to algorithmically construct controllers. Additionally, we provide a heuristic to take into account the control input shape constraints which arise due to limitations on the actuators.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages4359-4365
Number of pages7
DOIs
StatePublished - 2012
Externally publishedYes
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: Dec 10 2012Dec 13 2012

Other

Other51st IEEE Conference on Decision and Control, CDC 2012
CountryUnited States
CityMaui, HI
Period12/10/1212/13/12

Fingerprint

Sum of squares
Bootstrap
Polynomials
Shape Constraint
Input Constraints
Polynomial
Optimization
Lyapunov
Actuator
Actuators
Maximise
Heuristics
Feedback
Controller
Controllers
Energy
Framework
Strategy
Design

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Gahlawat, A., Witrant, E., Peet, M., & Alamir, M. (2012). Bootstrap current optimization in Tokamaks using sum-of-squares polynomials. In Proceedings of the IEEE Conference on Decision and Control (pp. 4359-4365). [6426638] https://doi.org/10.1109/CDC.2012.6426638

Bootstrap current optimization in Tokamaks using sum-of-squares polynomials. / Gahlawat, A.; Witrant, E.; Peet, Matthew; Alamir, M.

Proceedings of the IEEE Conference on Decision and Control. 2012. p. 4359-4365 6426638.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gahlawat, A, Witrant, E, Peet, M & Alamir, M 2012, Bootstrap current optimization in Tokamaks using sum-of-squares polynomials. in Proceedings of the IEEE Conference on Decision and Control., 6426638, pp. 4359-4365, 51st IEEE Conference on Decision and Control, CDC 2012, Maui, HI, United States, 12/10/12. https://doi.org/10.1109/CDC.2012.6426638
Gahlawat A, Witrant E, Peet M, Alamir M. Bootstrap current optimization in Tokamaks using sum-of-squares polynomials. In Proceedings of the IEEE Conference on Decision and Control. 2012. p. 4359-4365. 6426638 https://doi.org/10.1109/CDC.2012.6426638
Gahlawat, A. ; Witrant, E. ; Peet, Matthew ; Alamir, M. / Bootstrap current optimization in Tokamaks using sum-of-squares polynomials. Proceedings of the IEEE Conference on Decision and Control. 2012. pp. 4359-4365
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