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

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4796190· OSTI ID:22130442
; ;  [1]; ; ;  [2]
  1. Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544 (United States)
  2. Princeton Plasma Physics Laboratory, Princeton, New Jersey 08544 (United States)
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.
OSTI ID:
22130442
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 4 Vol. 20; ISSN PHPAEN; ISSN 1070-664X
Country of Publication:
United States
Language:
English