On observability of switched differential-algebraic equations
On observability of switched differential-algebraic equations
复制标题
论切换微分代数方程的可观性
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Stephan Trenn
中科院分区：
文献类型：
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作者：
A. Tanwani;Stephan Trenn
研究了切换微分代数方程的能观性。本文主要研究一类由两个模态和一个开关信号组成的切换系统。我们提供了一个充分必要条件，在此条件下，有可能恢复的状态轨迹的值（全球的时间）的帮助下的切换现象，即使组成子系统可能无法观察。在切换系统不是全局可观的情况下，讨论了切换后状态轨迹恢复的前向可观性概念。给出了前向可观性的一个充分必要条件。
We investigate observability of switched differential algebraic equations. The article primarily focuses on a class of switched systems comprising of two modes and a switching signal with a single switching instant. We provide a necessary and sufficient condition under which it is possible to recover the value of state trajectory (globally in time) with the help of switching phenomenon, even though the constituent subsystems may not be observable. In case the switched system is not globally observable, we discuss the concept of forward observability which deals with the recovery of state trajectory after the switching. A necessary and sufficient condition that characterizes forward observability is presented.