论文标题
基于Hurwitz Matrix的线性连续时间系统的控制能力直接计算
Direct Computing on Control Capability for Linear Continuous-time Systems Based on Hurwitz Matrix
论文作者
论文摘要
在本文中，提出了基于可控的规范形式和Hurwitz稳定性标准的Hurwitz矩阵，这是一种用于线性连续时（LCT）系统的平滑可控性生命力的分析量计算方法，没有系统的特征计算。然后，计算方法纳入了LCT系统的可控性椭球的音量计算。由于可控性划界和椭球直接与控制能力直接相关，并且其体积是描述控制能力的主要索引，因此本文提出的新的体积计算方法可以极大地帮助LCT系统控制能力的计算，分析和优化。
In this paper, based on the controllable canonical form and the Hurwitz matrix of the Hurwitz stability criterion, an analytical volume computing method for the smooth controllability zonotope for the linear continuous-time(LCT) systems, without of help of the eigenvalue computing of the systems, is presented. And then, the computing method is generlized to the volume computing of the controllability ellipsoid of the LCT systems. Because the controllability zonotope and ellipsoid are directly related to control capability and their volumes are the main index describing the control capability, the new volume computing methods proposed in this paper can help greatly the computing, analysis and optimization of the control capability of LCT systems.
