Linear Feedback Control And Approximation For A System Governed By Unsteady Mhd Equations

S.S. Ravindran

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Linear Feedback Control And Approximation For A System Governed By Unsteady Mhd Equations

机译：非稳态Mhd方程控制系统的线性反馈控制与逼近。

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We are concerned with the feedback control of unsteady flow of an electrically conducting fluid, confined to a bounded region of space and driven by a combination of distributed body force and externally generated currents. The flow is governed by the Navier-Stokes equations and Maxwell's equations, coupled via Ohm's law and the Lorentz force. The mathematical formulation and numerical resolution of the linear feedback control problem for tracking velocity and magnetic fields of electrically conducting flows in two dimensional domain are presented. Semi-discrete in time and full space-time discrete approximations are also studied. Computational results showing the efficacy of the feedback control are presented and compared with analogous results using optimal control theory.

机译：我们关注的是导电流体的非稳态流动的反馈控制，该非恒定流动被限制在空间的有限区域内，并由分布的体力和外部产生的电流共同驱动。流量由Navier-Stokes方程和Maxwell方程控制，并通过欧姆定律和洛伦兹力耦合。提出了在二维域内跟踪导电流的速度和磁场的线性反馈控制问题的数学公式和数值解决方案。还研究了时间的半离散和全时空离散近似。提出了显示反馈控制功效的计算结果，并使用最佳控制理论将其与类似结果进行了比较。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2008年第4期|p.524-541|共18页
作者
S.S. Ravindran;
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作者单位

Department of Mathematical Sciences, 201C Shelby Center for Science and Technology, The University of Alabama in Huntsville, Huntsville, AL 35899, United States;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
feedback control; dynamics; discretizations; mhd systems; finite element; optimal control;

机译：反馈控制动力学离散化mhd系统有限元最优控制;

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Linear Feedback Control And Approximation For A System Governed By Unsteady Mhd Equations

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