Observability of Linear Differential-Algebraic Systems: A Survey
Observability of Linear Differential-Algebraic Systems: A Survey
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DOI：
10.1007/978-3-319-46618-7_4
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
T. Berger;Timo Reis;Stephan Trenn
中科院分区：
文献类型：
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作者：
T. Berger;Timo Reis;Stephan Trenn
本文研究了与线性常系数微分代数方程的能观性相关的不同概念。不严格地说，正则性保证了任何非齐次问题解的存在性和唯一性，但本文并不要求正则性。在时域中描述和定义了脉冲可观测性、无穷远可观测性、行为可观测性、强可观测性和完全可观测性等概念。特别强调了输出注入，状态空间和输出空间变换下的规范形式。这个正规形式与对偶性一起被用来导出Hautus型的可观测性准则。我们还讨论了几何准则，卡尔曼分解和检测。证明了输出注入镇定的一些新结果。
We investigate different concepts related to observability of linear constant coefficient differential-algebraic equations. Regularity, which, loosely speaking, guarantees existence and uniqueness of solutions for any inhomogeneity, is not required in this article. Concepts like impulse observability, observability at infinity, behavioral observability, strong and complete observability are described and defined in the time-domain. Special emphasis is placed on a normal form under output injection, state space and output space transformation. This normal form together with duality is exploited to derive Hautus-type criteria for observability. We also discuss geometric criteria, Kalman decompositions and detectability. Some new results on stabilization by output injection are proved.