基于奇异值分解的输出反馈参数特征结构分配

G. Duan
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引用次数: 66

摘要

本文研究了基于输出反馈的多变量线性系统特征结构分配问题。提出了与一类广义Sylvester矩阵方程有关的三个问题。通过对这类基于奇异值分解的广义Sylvester矩阵方程的一般完全参数解,给出了特征结构赋值问题的一般完全参数解。用一定的参数向量建立了闭环特征向量矩阵和输出反馈增益的一般参数表达式。这些参数向量提供了设计自由度,可以用来实现一些期望的规格。在此基础上,利用Matlab优化工具箱,建立了Matlab文件,对输出反馈的特征结构分配问题求出闭环特征值灵敏度最小的解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Parametric eigenstructure assignment via output feedback based on singular value decompositions
The paper investigates eigenstructure assignment in multivariable linear systems via output feedback. Three problems are proposed and are related to a type of generalized Sylvester matrix equations. By proposing a general complete parametric solution to this type of generalized Sylvester matrix equations based on singular value decompositions, a general complete parametric approach is then presented for the proposed eigenstructure assignment problems. General parametric expressions for both the closed-loop eigenvector matrices and the output feedback gain are established in terms of certain parameter vectors. These parameter vectors provide the design degrees of freedom and can be utilized to achieve some desired specifications. Based on the proposed results and the Matlab Optimization Toolbox, a Matlab file is created, which finds a solution that gives minimum closed-loop eigenvalue sensitivities for the problem of eigenstructure assignment via output feedback.
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