| 引用本文: | 曹永岩 ，孙优贤.具有结构不确定性的线性系统的鲁棒稳定性分析[J].控制理论与应用,1997,14(1):34~41.[点击复制] |
| CAO Yongyan and SUN Youxian.The Analysis of Stability Robustness for Linear Systems with Structured Uncertainty[J].Control Theory and Technology,1997,14(1):34~41.[点击复制] |
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| 具有结构不确定性的线性系统的鲁棒稳定性分析 |
| The Analysis of Stability Robustness for Linear Systems with Structured Uncertainty |
| 摘要点击 744 全文点击 412 投稿时间：1995-04-12 修订日期：1995-10-16 |
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| DOI编号 |
| 1997,14(1):34-41 |
| 中文关键词 线性不确定系统 结构不确定性 鲁棒稳定性 幂变换 |
| 英文关键词 uncertain linear systems structured uncertainty stability robustness power transformation |
| 基金项目 |
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| 中文摘要 |
| 本文基于一种非线性向量幂变换将结构不确定线性系统的鲁棒稳定性问题转化成相应参数矩阵的非奇异性问题，得到了保证系统鲁棒稳定的充分条件，以及保证系统稳定的参数允许界。本文考虑了摄动矩阵结构上的特点，使得系统的鲁棒稳定区域大大扩大，最后通过实例和已有结果进行了比较。 |
| 英文摘要 |
| Based on a nonlinear power transformation, the stability robustness of uncertain linear systems has transformed into a nonsingularity problem of a family of paramatrized matrices and then some sufficient conditions are derived and the stability bounds are also given. The robust stable region has been greatly enlarged bacause the structural feature of the perturbed matrices are considered. At last,numerical results aregiven to compare the new bounds with that obtained previously. |