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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