On the set-estimation of uncertain Max-Plus Linear systems

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2024-09-13 DOI:10.1016/j.automatica.2024.111899

Guilherme Espindola-Winck , Laurent Hardouin , Mehdi Lhommeau

引用次数: 0

Abstract

The paper focuses on the set-estimation for uncertain Max-Plus Linear systems, with bounded random parameters. This estimation process involves determining the conditional reach set, which is a compact set of all possible states that can be reached from a previous set through the transition model (dynamics) and can lead to the observed measurements through the observation model. In the context of Bayesian estimation theory, this set represents the support of the posterior probability density function of the system’s state. We compare two approaches, a disjunctive approach, presented in literature, and a concise approach, presented as a contribution of this paper, to exactly compute this set. Even if both approaches are with an exponential theoretical complexity, it is shown that the concise approach is more efficient.

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论不确定的 Max-Plus 线性系统的集合估计

本文主要研究具有有界随机参数的不确定 Max-Plus 线性系统的集合估计。该估计过程涉及条件到达集的确定，条件到达集是所有可能状态的紧凑集合，这些状态可通过过渡模型（动力学）从前述集合到达，并可通过观测模型导致观测到的测量结果。在贝叶斯估计理论中，这个集合代表了系统状态的后验概率密度函数的支持度。我们比较了两种精确计算该集合的方法，一种是文献中介绍的非连续性方法，另一种是本文介绍的简明方法。尽管这两种方法的理论复杂度都是指数级的，但结果表明简明方法更为高效。

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

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.