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

被引：5
|
作者：
Goumiri, I. R. [1 ]
Rowley, C. W. [1 ]
Ma, Z. [1 ]
Gates, D. A. [2 ]
Krommes, J. A. [2 ]
Parker, J. B. [2 ]
机构：
[1] Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA
[2] Princeton Plasma Phys Lab, Princeton, NJ 08544 USA
来源：
PHYSICS OF PLASMAS | 2013年 / 20卷 / 04期
关键词：
TEARING MODES; DRIFT WAVES; ZONAL FLOW; REDUCTION; TURBULENCE; STABILIZATION; CHAOS;
D O I：
10.1063/1.4796190
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
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. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4796190]
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页数：12
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