| 引用本文: | 胡庭姝，施颂椒.状态矩阵中含不确定参数的系统的鲁棒性分析[J].控制理论与应用,1992,9(5):533~536.[点击复制] |
| HU Tingshu and SHI Songjiao.Robust Analysis for Systems with Uncertain Parameters in State Matrix[J].Control Theory and Technology,1992,9(5):533~536.[点击复制] |
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| 状态矩阵中含不确定参数的系统的鲁棒性分析 |
| Robust Analysis for Systems with Uncertain Parameters in State Matrix |
| 摘要点击 899 全文点击 374 投稿时间：1991-01-22 修订日期：1991-10-03 |
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| DOI编号 |
| 1992,9(5):533-536 |
| 中文关键词 鲁棒性 参数扰动系统 鲁棒性稳定上界 对角化 |
| 英文关键词 robustness parameter perturbed systems conservationreduction diagonal form upperbounds for robust stability |
| 基金项目 |
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| 中文摘要 |
| 本文研究如下参数不确定系统x=（Ao+E k1E1）x.通过将不确定部分的结构对角化，并结合矩阵，行列式的特殊性质，本文导出了具有低保守性的鲁棒性判据。将本文的方法用于几个典型的例子，与已有的结论相比，可以看到保守性有明显的降低，甚至完全不保守。 |
| 英文摘要 |
| This paper investigates the robust stability of systems with uncertain parameters in state matrix. The system to be discussed is x=（Ao+E k1E1）x, where k1 are uncertain parameters. By transforming the uncertain part into diagonal form, and utilizing special properties of determinant and matrix, some robustness measures with reduced conservation are derived. Applying these measures to several typical examples, there are obvious reduction in the conservation as compared to former results and the bounds obtained are near the exact ones. |