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

I. R. Goumiri, Clarence Worth Rowley, Z. Ma, D. A. Gates, J. A. Krommes, J. B. Parker

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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.

Original languageEnglish (US)
Article number042501
JournalPhysics of Plasmas
Volume20
Issue number4
DOIs
StatePublished - Apr 2013

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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    Goumiri, I. R., Rowley, C. W., Ma, Z., Gates, D. A., Krommes, J. A., & Parker, J. B. (2013). Reduced-order model based feedback control of the modified Hasegawa-Wakatani model. Physics of Plasmas, 20(4), [042501]. https://doi.org/10.1063/1.4796190