On the problem of general structural assignments of linear systems through sensor/actuator selection
On the problem of general structural assignments of linear systems through sensor/actuator selection
复制标题
通过传感器/执行器选择来解决线性系统的一般结构分配问题
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
Zongli Lin
中科院分区：
文献类型：
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作者：
Xinmin Liu;Ben M. Chen;Zongli Lin
发展了一种确定给定矩阵对(A，B)的输出矩阵C的系统方法，使得由矩阵三元组(A，B，C)表征的所得到的线性系统具有预先指定的系统结构性质，例如有限和无限零结构和可逆结构。由于矩阵C描述了传感器的位置，因此选择C的过程通常被称为传感器选择。本文提出的传感器选择方法可以应用于执行器选择的对偶问题，其中，对于给定的矩阵对(A，C)，矩阵B被确定为使得得到的矩阵三元组(A，B，C)具有预先指定的结构性质。
A systematic method is developed for determining an output matrix C for a given matrix pair (A, B) such that the resulting linear system characterized by the matrix triple (A,B,C) has the pre-specified system structural properties, such as the finite and infinite zero structure and the invertibility structures. Since the matrix C describes the locations of the sensors, the procedure of choosing C is often referred to as sensor selection. The method developed in the paper for sensor selection can be applied to the dual problem of actuator selection, where, for a given matrix pair (A, C), a matrix B is to be determined such that the resulting matrix triple (A, B, C) has the pre-specified structural properties.