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2.2 Nonlinear Stabilization of a Continuum

 

作者: A. R. Millner,   R. R. Parker,  

 

期刊: AIP Conference Proceedings  (AIP Available online 1970)
卷期: Volume 1, issue 1  

页码: 54-59

 

ISSN:0094-243X

 

年代: 1970

 

DOI:10.1063/1.2948518

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Nonlinear, or “bang‐bang, ” feedback, in which a constant corrective force of arbitrary strength is applied to the plasma for as long a time as the local average of the surface displacement is positive, is discussed for the stabilization of MHD modes. It is shown that, in addition to obvious bandwidth and impedance‐level problems, linear feedback cannot stabilize modes for which the perturbation amplitude is constant along the lines of the external magnetic field. Plasma stability with “bang‐bang” feedback scheme is studied using an energy principle (Liapunov function). Although we focus attention on modes whose amplitude is constant along Bo, the proposed scheme can be applied to stabilize all other modes as well.

 

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