基于系统矩阵有序实Schur分解的模型降阶

Ordered real Schur decomposition method of model reduction based on system matrixes

对复杂高阶系统进行模型简化,为研究与设计系统提供了方便的条件。对系统模型的降阶是控制系统设计与仿真工作者的一个重要研究课题,对高阶复杂系统的分析、设计、仿真等具有重要的理论意义和工程实用价值。针对目前比较成熟的基于系统矩阵的有序实Schur分解方法,提出了采用时矩输出拟合来改善降阶系统输出响应逼近程度的改进方法,从而使简化模型具有输出误差更小、计算简便等优点,通过给出的实例仿真证实了这一点。

The methods reduced the model of complex systems, and provided the convenient conditions for the research and design of complex high order systems. It was an important research for the design of the control system and system simulation that the model of system was reduced. The methods proposed in this article were of important significance to the analysis, design and simulation on both theory and practice applications. Aiming at the ripe model reduction methods, such as real Schur decomposition method based on system matrixes, this article adopted output method to improve the approximation level of the reduced system, the simulation results showed that this method can reduce the output error and was mere easy and convenient for computation.