Reduced-Order Model Based Feedback Control For Modified Hasegawa-Wakatani Model
Authors: I.R. Goumiri, C.W. Rowley, Z. Ma, D.A. Gates, J.A. Krommes and J.B. Parker
Abstract: In this work, the development of model-based feedback control that stabilizes an unstable equilibrium is
obtained for the Modi ed Hasegawa-Wakatani (MHW) equations, a classic model in plasma turbulence.
First, a balanced truncation (a model reduction technique that has proven successful in
ow control design problems) is applied to obtain a low dimensional model of the linearized MHW equation. Then a modelbased
feedback controller is designed for the reduced order model using linear quadratic regulators (LQR).
Finally, a linear quadratic gaussian (LQG) 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.
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Submitted to: Physics of Plasmas (January 2013)
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Download PPPL-4848 (pdf 1.74 MB 13 pp)
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