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

[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.

[发布日期] 2013-01-28

[学科分类] 原子、分子光学和等离子物理

[关键词] Drift Instability;Drift Waves;Turbulence;Numerical Methods;Numerical Simulation