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Reduced-order model based feedback control of the modified Hasegawa-Wakatani model

Author(s): Goumiri, IR; Rowley, Clarence W; Ma, Z; Gates, DA; Krommes, JA; et al

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Abstract: In this work, the development of model-based feedback control that stabilizes an unstable equilibrium is obtained for the Modified Hasegawa-Wakatani (MHW) equations, a classic model in plasma turbulence. First, a balanced truncation (a model reduction technique that has proven successful in flow control design problems) is applied to obtain a low dimensional model of the linearized MHW equation. Then, a model-based feedback controller is designed for the reduced order model using linear quadratic regulators. Finally, a linear quadratic Gaussian controller which is more resistant to disturbances is deduced. The controller is applied on the non-reduced, nonlinear MHW equations to stabilize the equilibrium and suppress the transition to drift-wave induced turbulence.
Publication Date: 2013
Citation: Goumiri, IR, Rowley, CW, Ma, Z, Gates, DA, Krommes, JA, Parker, JB. "Reduced-order model based feedback control of the modified Hasegawa-Wakatani model" Physics of Plasmas, 20, 4, 042501 - 042501, doi:10.1063/1.4796190
DOI: doi:10.1063/1.4796190
ISSN: 1070-664X
Pages: 042501 - 042501
Type of Material: Journal Article
Journal/Proceeding Title: Physics of Plasmas
Version: This is the publisher’s version of the article (version of record). All rights reserved to the publisher. Please refer to the publisher's site for terms of use.

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