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

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

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.