Observability and Controllability Analysis of Linear Systems Subject to Data Losses
Observability and Controllability Analysis of Linear Systems Subject to Data Losses
复制标题
遭受数据丢失的线性系统的可观测性和可控性分析
DOI：
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发表时间：
2016
影响因子：
6.8
通讯作者：
A. Kundu
中科院分区：
文献类型：
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作者：
R. Jungers;W. Heemels;A. Kundu
我们给出了具有数据丢失的离散时间线性系统基本系统理论性质的算法可验证的充要条件。更准确地说，我们的建模框架中的系统在反馈环路中受到中断(数据丢失)的影响，其中可能的数据丢失序列集由自动机捕获。因此，该结果适用于共享(无线)通信网络和/或嵌入式体系结构的上下文，其中关于数据丢失行为的一些信息是先验可用的。我们提出了一种判定这类系统的可观性(或不能观测性)的算法，并通过建立这些性质之间的关系，证明了该算法还可以用来判定其他性质，包括可构造性、可控性、可达性、零可控性、可检测性和镇定性。我们分析的主要工具是著名的线性代数中的斯科伦定理。此外，我们还研究了本文所采用的模型与前面介绍的模型之间的关系，在该模型中，不允许在反馈回路中出现丢包，而是允许时变时滞。
We provide algorithmically verifiable necessary and sufficient conditions for fundamental system theoretic properties of discrete-time linear, systems subject to data losses. More precisely, the systems in our modeling framework are subject to disruptions (data losses) in the feedback loop, where the set of possible data loss sequences is captured by an automaton. As such, the results are applicable in the context of shared (wireless) communication networks and/or embedded architectures where some information on the data loss behavior is available a priori . We propose an algorithm for deciding observability (or the absence of it) for such systems, and show how this algorithm can be used also to decide other properties including constructibility, controllability, reachability, null-controllability, detectability, and stabilizability by means of relations that we establish among these properties. The main apparatus for our analysis is the celebrated Skolem's Theorem from Linear Algebra. Moreover, we study the relation between the model adopted in this paper and a previously introduced model where, instead of allowing dropouts in the feedback loop, one allows for time-varying delays.