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Observability of Switched Linear Systems

机译：线性切换系统的可观测性

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摘要

This work deals with finite time observability of switched linear systems (SLS) when they are represented by a family of nonautonomous linear systems (LS) and an interpreted Petri net (IPN). Based on this SLS representation, new detection of the commutation time and LS distinguishability characterizations in SLS extended to the non autonomous case are presented. Using these results, the novel concept of distinguishability between LS sequences is presented and characterized. This concept together with the IPN input–output information is used to determine the IPN marking sequence. From the knowledge of this sequence, the conditions for the computation of the continuous state are presented. Also necessary and sufficient conditions for the observability in infinitesimal time are provided.
机译：当交换线性系统（SLS）由一系列非自治线性系统（LS）和一个解释Petri网（IPN）表示时，这项工作涉及有限时间可观察性。基于这种SLS表示，提出了新的换向时间检测和扩展到非自治情况下的SLS中的LS可区分性表征。使用这些结果，提出并表征了LS序列之间可区分性的新颖概念。该概念与IPN输入输出信息一起用于确定IPN标记顺序。根据该序列的知识，提出了计算连续状态的条件。还提供了无穷小时间内可观察性的必要和充分条件。

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