Reduced-Order Model Based Feedback Control For Modified Hasegawa-Wakatani Model

Goumiri, I. R. ; Rowley, C. W. ; Ma, Z. ; Gates, D. A. ; Krommes, J. A. ; Parker, J. B.

关键词: Drift Instability;    Drift Waves;    Turbulence;    Numerical Methods;    Numerical Simulation;   

DOI  :  10.2172/1062399
RP-ID  :  PPPL-4848
PID  :  OSTI ID: 1062399

学科分类：原子、分子光学和等离子物理

美国|英语

来源: SciTech Connect

【 摘 要 】

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.