文章基本信息

标题：Boundary Energy Control of the Sine-Gordon Equation * * This work was performed in IPME RAS, supported by RSF (grant 14-29-00142).
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作者：Maksim Dolgopolik ; Alexander L. Fradkov ; Boris Andrievsky 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：14
页码：148-153
DOI：10.1016/j.ifacol.2016.07.1000
语种：English
出版社：Elsevier
摘要：AbstractThe boundary energy control problem for the sine-Gordon equation is posed. Two control laws solving this problem based on Speed-Gradient method with smooth and nonsmooth goal functions are proposed. The control law obtained via a nonsmooth goal function is proved to steer the system to any required nonzero energy level in finite time. The results of the numerical evaluation of the proposed algorithms demonstrate attainability of the control goal both for the cases of decreasing and increasing the system energy and show high rate of vanishing of the control error.
关键词：Keywordsboundary controlenergy controlSpeed-Gradientsine-Gordon equation