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基于微分方程对称的分布参数系统稳态控制

魏萍 丁卯 左信 罗雄麟

魏萍, 丁卯, 左信, 罗雄麟. 基于微分方程对称的分布参数系统稳态控制. 自动化学报, 2014, 40(10): 2163-2170. doi: 10.3724/SP.J.1004.2014.02163
引用本文: 魏萍, 丁卯, 左信, 罗雄麟. 基于微分方程对称的分布参数系统稳态控制. 自动化学报, 2014, 40(10): 2163-2170. doi: 10.3724/SP.J.1004.2014.02163
WEI Ping, DING Mao, ZUO Xin, LUO Xiong-Lin. Steady-state Control for Distributed Parameter Systems by Symmetry of Differential Equations. ACTA AUTOMATICA SINICA, 2014, 40(10): 2163-2170. doi: 10.3724/SP.J.1004.2014.02163
Citation: WEI Ping, DING Mao, ZUO Xin, LUO Xiong-Lin. Steady-state Control for Distributed Parameter Systems by Symmetry of Differential Equations. ACTA AUTOMATICA SINICA, 2014, 40(10): 2163-2170. doi: 10.3724/SP.J.1004.2014.02163

基于微分方程对称的分布参数系统稳态控制

doi: 10.3724/SP.J.1004.2014.02163
基金项目: 

国家自然科学基金(20976193), 中国石油大学(北京)科研基金资助项目(KYJJ2012-05-31)

详细信息
    作者简介:

    魏萍 中国石油大学(北京) 自动化系讲师. 主要研究方向为非线性系统、分布参数系统和时滞微分系统的稳定性分析与控制. E-mail: helloweiping@163.com

Steady-state Control for Distributed Parameter Systems by Symmetry of Differential Equations

Funds: 

Supported by National Natural Science Foundation of China (20976193), and the Science Foundation of China University of Petroleum (KYJJ2012-05-31)

  • 摘要: 应用对称群理论中经典对称, 以无穷小生成元为分析工具, 考虑分布参数系统的控制问题已有研究, 在此基础上, 本文给出利用微分方程对称实现分布参数系统稳态控制的方法. 通过求解微分方程的对称, 借助其和无穷小生成元之间的关系, 研究给出符合控制目标稳态要求的分布参数系统边界控制条件. 针对两个例子,说明了利用微分方程对称实现分布参数系统稳态控制的过程, 设计了边界控制条件, 进行了仿真说明. 相较基于经典对称获得分布参数系统无穷小生成元的过程, 利用微分方程对称, 避免了空间延拓过程, 并可能获得与其不同的无穷小生成元形式.
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出版历程
  • 收稿日期:  2012-12-31
  • 修回日期:  2014-05-01
  • 刊出日期:  2014-10-20

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