| 一类热传导分布参数系统的边界控制 |
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| 引用本文： | 魏萍,丁卯,左信,罗雄麟.一类热传导分布参数系统的边界控制[J].医学教育探索,2014(4):487-492. |
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| 作者姓名： | 魏萍 丁卯 左信 罗雄麟 |
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| 作者单位： | 中国石油大学北京自动化系，北京 102249;中国石油大学北京自动化系，北京 102249;中国石油大学北京自动化系，北京 102249;中国石油大学北京自动化系，北京 102249 |
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| 基金项目： | 中国石油大学（北京）科研基金（KYJJ2012 05 31） |
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| 摘 要： | 利用微分方程对称以及其与无穷小生成元的关系，针对几种不同控制目标要求的一类热传导分布参数系统，研究了边界控制问题，设计出不同的边界控制律，分别实现了定点等速升温控制、定点稳态温度控制、边界稳态温度控制。对不同控制目标设计的控制律均进行了仿真验证，结果表明了控制条件的有效性。
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| 关 键 词： | 热传导 分布参数 边界控制 对称 无穷小生成元 |
| 修稿时间： | 2013/8/20 0:00:00 |
Boundary Control for a Class of Heat Transfer Distributed Parameter Systems |
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| WEI Ping,DING Mao,ZUO Xin and LUO Xiong-lin.Boundary Control for a Class of Heat Transfer Distributed Parameter Systems[J].Researches in Medical Education,2014(4):487-492. |
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| Authors: | WEI Ping DING Mao ZUO Xin and LUO Xiong-lin |
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| Institution: | Department of Automation, China University of Petroleum, Beijing 102249, China;Department of Automation, China University of Petroleum, Beijing 102249, China;Department of Automation, China University of Petroleum, Beijing 102249, China;Department of Automation, China University of Petroleum, Beijing 102249, China |
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| Abstract: | Boundary control of a class of heat transfer distributed parameter systems is studied by the symmetry of differential equations and relationsship between symmetry and infinitesimal generator for satisfying different control objectives. The boundary control laws are designed to realize constant heating rate control at fixed point, steady state temperature control at fixed point, and boundary steady state temperature control for the heat transfer distributed parameter systems. The simulations for the controlled heat transfer distributed parameter system are illustrated the effectiveness of the control laws for the different control objectives. |
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| Keywords: | heat transfer distributed parameter boundary control symmetry infinitesimal generator |
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