Preservation of controllability-observability in expanded systems
Preservation of controllability-observability in expanded systems
复制标题
扩展系统中可控性-可观察性的保持
DOI：
10.1109/9.935075
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
Pere Rubió
中科院分区：
文献类型：
--
作者：
L. Bakule;J. Rodellar;J. M. Rossell;Pere Rubió
结果表明，在包含原理下，当使用块结构互补矩阵时，原连续时间LTI动态系统的可观测性和可观测性在扩展系统中总是保持不变。这种新的结构为选择特定的互补矩阵提供了更多的自由度，而不是众所周知的用例，例如聚合和限制，这些用例仅在某些特殊情况下才能实现这种保留。一个完整的不受限制的传输这些定性性质从原来的可观测系统，其扩展是一个基本要求的扩展/收缩过程中，主要是当控制器/观察器设计在扩展系统，从而在最初给定的系统中实施合同。一个由两个重叠的子系统组成的原始系统被采用作为一个通用的原型。最后给出了数值算例。
The result contributed by the article is that controllability-observability of an original continuous-time LTI dynamic system can always be simultaneously preserved in expanded systems within the inclusion principle when using block structured complementary matrices. This new structure offers more degrees of freedom for the selection of specific complementary matrices than well known used cases, such as aggregations and restrictions, which enable such preservation only in certain special cases. A complete unrestricted transmission of these qualitative properties from the original controllable-observable system to its expansion is a basic requirement on the expansion/contraction process, mainly when controllers/observers are designed in expanded systems to be consequently contracted for implementation in initially given systems. An original system composed of two overlapped subsystems is adopted as a general prototype ease. A numerical example is supplied.