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

Technical Report · Wed Jan 23 04:00:00 EST 2013

DOI:https://doi.org/10.2172/1062399· OSTI ID:1062399

Goumiri, I. R. ^[1]; Rowley, C. W. ^[1]; Ma, Z. ^[1]; Gates, D. A. ^[2]; Krommes, J. A. ^[2]; Parker, J. B. ^[2]

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1. Princeton Univ., NJ (United States)
2. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (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 (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.

• Research Organization: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC02-09CH11466; AC02-76CH03073
• OSTI ID: 1062399
• Report Number(s): PPPL--4848
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Drift Instability
Drift Waves
Numerical Methods
Numerical Simulation
Turbulence