| 引用本文: | 黄勇，王书宁，王长虹，潘锋.频域结构不确定性模型有效性分析——正切结构Nevanlinna-Pick 插值法[J].控制理论与应用,1999,16(4):573~576.[点击复制] |
| Huang Yong，Wang Shuning，Wang Changhong and Pan Feng.Frequency Domain Validation of Structured Uncertain Models——A Structured Tangential Nevanlinna-Pick Interpolation Approach[J].Control Theory and Technology,1999,16(4):573~576.[点击复制] |
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| 频域结构不确定性模型有效性分析——正切结构Nevanlinna-Pick 插值法 |
| Frequency Domain Validation of Structured Uncertain Models——A Structured Tangential Nevanlinna-Pick Interpolation Approach |
| 摘要点击 712 全文点击 373 投稿时间：1996-05-29 修订日期：1997-08-04 |
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| DOI编号 |
| 1999,16(4):573-576 |
| 中文关键词 鲁棒辨识 模型有效性 正切结构Nevanlinna-Pick插值 双线性矩阵不等式（BMI) |
| 英文关键词 robust identification mode lvalidation structured tangential Nevanlinna-Pick Interpolation biaffine matrix inequality（BMI) |
| 基金项目 |
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| 中文摘要 |
| 利用正切结构Nevanlinna-Pick插值理论，研究了扰动集有结构的具有线性分式传递函数的模型有效性分析问题.模型有效性与参数辨识相结合是本领域目前的研究热点问题，故这里讨论的模型集的不确定性不仅有扰动集的不确定，还有不易观测的部分名义模型的不确定，我们将这类模型集的有效性分析问题转化为双线性矩阵不等式（BMI)求解问题，构造了双迭代算法进行求解，并给出了算法的理论分析，得到了在有限步迭代后可判定模型集是否无效的结论. |
| 英文摘要 |
| The frequency domain model validation for structured uncertain is discussed with the structured tangential Nevanlinna-Pick Interpolation theory.The model uncertainty include both the part of normal model uneasy to measured uncertainty and the perturbation uncertainty,for the combination of identification and validation is new point in this domain.We convert this problem into finding a feasible solution of a biaffine matrix inequality（BMI),It can be solved by a biaffine iteration algorithm. The theoretical analysis show that we can drove the conclusion of whether the uncertain model set is invalidation in finite step. |