Control and verification of the safety-factor profile in Tokamaks using sum-of-squares polynomials

Aditya Gahlawat, Matthew M. Peet, Emmanuel Witrant

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

6 Scopus citations

Abstract

In this paper, we propose a method of using the sum-of-squares methodology to synthesize controllers for plasma stabilization in Tokamak reactors. We use a partial differential model of the poloidal magnetic flux gradient and attempt to stabilize a reference safety-factor profile. Our methods utilize full-state feedback control and are based on solving a dual version of the Lyapunov operator inequality. In addition, we implement the controller in-silico using experimental conditions inferred from the Tore Supra tokamak.

Original languageEnglish (US)
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Pages12556-12561
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
DOIs
StatePublished - Jan 1 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume44
ISSN (Print)1474-6670

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ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Gahlawat, A., Peet, M. M., & Witrant, E. (2011). Control and verification of the safety-factor profile in Tokamaks using sum-of-squares polynomials. In Proceedings of the 18th IFAC World Congress (1 PART 1 ed., pp. 12556-12561). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1). IFAC Secretariat. https://doi.org/10.3182/20110828-6-IT-1002.02600