Invariants and Canonical Forms under Dynamic Compensation
Invariants and Canonical Forms under Dynamic Compensation
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DOI：
10.1137/0314063
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发表时间：
1976-11
影响因子：
2.2
通讯作者：
W. Wolovich;P. Falb
中科院分区：
文献类型：
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作者：
W. Wolovich;P. Falb
本文关注的是针对由真有理传递矩阵所表征的线性系统，在动态补偿下一个完全抽象不变量以及一组规范型的发展。更确切地说，文中表明对于任何真有理传递矩阵\(T(s)\)，总能关联一个特殊的左下三角矩阵\(\xi_T(s)\)，称为交互矩阵。然后表明该矩阵在动态补偿下代表一个抽象不变量，它与\(T(s)\)的秩一起构成一个完全抽象不变量。还推导出了在动态补偿下的一组规范型以及相应的动态补偿。
This paper is concerned with the development of a complete abstract invariant as well as a set of canonical forms under dynamic compensation for linear systems characterized by proper, rational transfer matrices. More specifically, it is shown that one can always associate with any proper rational transfer matrix, $T(s)$, a special lower left triangular matrix, $\xi _T (s)$, called the interactor. This matrix is then shown to represent an abstract invariant under dynamic compensation which, together with the rank of $T(s)$, represents a complete abstract invariant. A set of canonical forms under dynamic compensation is also developed along with appropriate dynamic compensation.