Partial observability of finite dimensional linear systems

Q4 Engineering

Control and Cybernetics Pub Date : 2021-06-01 DOI:10.2478/candc-2021-0014

Mohamed Elkhail Danine, A. Bernoussi, Abdelaziz Bel Fekih

引用次数: 0

Abstract

Abstract In this work, we consider the partial observability problem for finite dimensional dynamical linear systems that are not necessarily observable. For that purpose we introduce the so called “observable subspaces” and “partial observability” to find a way to reconstruct the observable part of the system state. Some characterizations of “observable subspaces” have been provided. The reconstruction of the orthogonal projection of the state on the observable subspace is obtained. We give some examples to illustrate our theoretical approach.

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有限维线性系统的部分可观测性

摘要在这项工作中，我们考虑了不一定可观测的有限维动态线性系统的部分可观测性问题。为此，我们引入了所谓的“可观测子空间”和“部分可观测性”，以找到一种重建系统状态可观测部分的方法。给出了“可观测子空间”的一些性质。得到了状态在可观测子空间上的正交投影的重构。我们举了一些例子来说明我们的理论方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Control and Cybernetics 工程技术-计算机：控制论

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The field of interest covers general concepts, theories, methods and techniques associated with analysis, modelling, control and management in various systems (e.g. technological, economic, ecological, social). The journal is particularly interested in results in the following areas of research: Systems and control theory: general systems theory, optimal cotrol, optimization theory, data analysis, learning, artificial intelligence, modelling & identification, game theory, multicriteria optimisation, decision and negotiation methods, soft approaches: stochastic and fuzzy methods, computer science,