New Methods for Estimating the Distance to Uncontrollability
New Methods for Estimating the Distance to Uncontrollability
复制标题
估计失控距离的新方法
DOI：
10.1137/s0895479897328856
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
M. Gu
中科院分区：
文献类型：
--
作者：
M. Gu
能控性是控制理论中的一个基本概念。给定一个线性控制系统，我们提出了新的算法来估计其距离不可控，即，使给定系统不可控的范数最小扰动的范数。以前已经提出了许多算法来估计这个距离。我们的新算法是第一个正确估计这个距离的成本多项式在给定的系统的维度。我们报告的结果，从一些数值实验，证明了这些新算法的可靠性和有效性。
Controllability is a fundamental concept in control theory. Given a linear control system, we present new algorithms for estimating its distance to uncontrollability, i.e., the norm of the norm-wise smallest perturbation that makes the given system uncontrollable. Many algorithms have been previously proposed to estimate this distance. Our new algorithms are the rst that correctly estimate this distance at a cost polynomial in dimension of the given system. We report results from some numerical experiments that demonstrate the reliability and eeectiveness of these new algorithms.