Observability of switched differential-algebraic equations for general switching signals

Observability of switched differential-algebraic equations for general switching signals
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DOI:
10.1109/cdc.2012.6427087
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发表时间:
2012-12
期刊:
2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
影响因子:
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通讯作者:
A. Tanwani;Stephan Trenn
A. Tanwani;Stephan Trenn
中科院分区:
其他
文献类型:
--
作者:
A. Tanwani;Stephan Trenn

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研究了任意切换条件下切换微分代数方程(DAE)的能观性。我们给出了可观测性的一个刻画和一个称为可测性的相关性质。这些刻画利用了作者最近在单开关情况下得到的结果。此外,我们还研究了当开关信号的模式序列(而不是开关次数)已知时的可观测性条件。这导致了可观测性和可判定性的充要条件。我们用例证说明了结果。
We study observability of switched differential-algebraic equations (DAEs) for arbitrary switching. We present a characterization of observability and a related property called determinability. These characterizations utilize the results for the single-switch case recently obtained by the authors. Furthermore, we study observability conditions when only the mode sequence of the switching signal (and not the switching times) are known. This leads to necessary and sufficient conditions for observability and determinability. We illustrate the results with illustrative examples.