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模型误差变化率有界的空间连接系统鲁棒性能分析

刘华波 周彤

刘华波, 周彤. 模型误差变化率有界的空间连接系统鲁棒性能分析. 自动化学报, 2014, 40(10): 2098-2107. doi: 10.3724/SP.J.1004.2014.02098
引用本文: 刘华波, 周彤. 模型误差变化率有界的空间连接系统鲁棒性能分析. 自动化学报, 2014, 40(10): 2098-2107. doi: 10.3724/SP.J.1004.2014.02098
LIU Hua-Bo, ZHOU Tong. Robust Performance Analysis of Spatially Interconnected Systems with Rate-of-variation Bounded Time-varying and Space-varying Uncertainties. ACTA AUTOMATICA SINICA, 2014, 40(10): 2098-2107. doi: 10.3724/SP.J.1004.2014.02098
Citation: LIU Hua-Bo, ZHOU Tong. Robust Performance Analysis of Spatially Interconnected Systems with Rate-of-variation Bounded Time-varying and Space-varying Uncertainties. ACTA AUTOMATICA SINICA, 2014, 40(10): 2098-2107. doi: 10.3724/SP.J.1004.2014.02098

模型误差变化率有界的空间连接系统鲁棒性能分析

doi: 10.3724/SP.J.1004.2014.02098
基金项目: 

国家重点基础研究发展计划(973计划) (2009CB320602), 国家自然科学基金(61174122, 61021063)资助

详细信息
    作者简介:

    周彤 清华大学自动化系教授. 分别于1984 年和1989 年在成都电子科技大学获得学士和硕士学位, 1994 年在日本大阪大学获得博士学位. 主要研究方向为鲁棒控制, 系统辨识, 信号处理, 混合系统和通讯系统及其在实际中的应用.E-mail: tzhou@mail.tsinghua.edu.cn

Robust Performance Analysis of Spatially Interconnected Systems with Rate-of-variation Bounded Time-varying and Space-varying Uncertainties

Funds: 

Supported by National Basic Research Program of China (973 Program) (2009CB320602) and National Natural Science Foundation of China (61174122, 61021063)

  • 摘要: 针对具有时空不变名义模型的空间连接系统,讨论其存在有界、线性、时空变化和有结构性约束的模型误差时, 取得鲁棒性能的条件.对于时间轴和空间轴,分别定义了算子的时间变化率和空间变化率,给出了系统取得鲁棒性能时该变化率的上界和下界.研究表明, 对于时间轴和空间轴上变化率满足一定条件、具有结构约束的有界模型误差,系统取得鲁棒性能的充分必要条件是存在频率域上的缩放矩阵(D标度),使得系统名义模型范数小于1.
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出版历程
  • 收稿日期:  2013-10-09
  • 修回日期:  2014-03-06
  • 刊出日期:  2014-10-20

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