The quotient SVD and directional aspects of 2 transfer matrices

J. David, B. De Moor
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引用次数: 1

Abstract

Directional aspects of multiple-input-multiple-output systems relative to one another are studied. The quotient singular value decomposition (QSVD), a generalization of the SVD is used. The definition and some properties of the QSVD are stated. The concepts of the indicator ellipsoid and the oriented energy plot allow for a better visualization of the directional gain. The oriented signal-to-signal ratio, is introduced. It is shown that it can be computed by using the QSVD. Some applications in control are outlined.<>
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2个转移矩阵的商奇异值分解和方向方面
研究了多输入多输出系统相互间的方向性问题。采用商奇异值分解(QSVD),对奇异值分解进行了推广。给出了QSVD的定义和一些性质。指示器椭球和定向能量图的概念允许更好地可视化定向增益。介绍了定向信信比。结果表明,利用QSVD可以计算出它。概述了控制中的一些应用。
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