Sufficient conditions for robust safety in differential inclusions using barrier functions

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

Automatica Pub Date : 2024-09-30 DOI:10.1016/j.automatica.2024.111938

Mohamed Adlene Maghenem , Masoumeh Ghanbarpour Mamaghani , Adnane Saoud

引用次数: 0

Abstract

This paper considers robust-safety notions for differential inclusions. A general framework is proposed to certify the considered notions in terms of barrier functions. While most existing literature has focused solely on what we designate as uniform robust safety, in this paper, we make a clear distinction between uniform and non-uniform robust safety. For both cases, we establish sufficient conditions on the nominal (unperturbed) system. Our conditions involve only the barrier function and the system’s right-hand side. Our results allow for unbounded safety regions as well as non-smooth barrier functions. The paper concludes with applications to safety-critical self-triggered control and fast-slow dynamics as well as assume–guarantee contracts.

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利用障碍函数实现微分夹杂稳健安全的充分条件

本文考虑了微分结论的稳健安全概念。本文提出了一个通用框架，用障碍函数来证明所考虑的概念。现有文献大多只关注我们所称的均匀鲁棒安全，而在本文中，我们明确区分了均匀和非均匀鲁棒安全。对于这两种情况，我们都建立了标称（未扰动）系统的充分条件。我们的条件只涉及障碍函数和系统的右手边。我们的结果允许无边界安全区域和非光滑障碍函数。最后，本文将应用于对安全至关重要的自触发控制和快慢动力学以及假设-保证合同。

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.