离散时间混合系统的有限时间稳定性和稳定性

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2024-05-27 DOI:10.1016/j.sysconle.2024.105832

Qiyao Wang , Guoping Lu , Min Zhao , Jitao Sun

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引用次数: 0

摘要

本文关注一类混合系统的有限时间稳定性和稳定问题，该系统由离散时间连续值动力学和布尔动力学组成。首先，我们简要介绍了所谓的系统，并通过 Khatri-Rao 积和半张量积（STP，即 Cheng 积）给出了系统的代数形式。接下来，我们最初提出了混合系统的有限时间稳定性（FTS）概念。此外，我们还提供了混合系统有限时间稳定性的一些标准。通过我们提出的一个阶式，逻辑部分 FTS 条件的计算复杂度可以降低到 O(1)。基于这些结果，我们设计了两类控制器，即状态反馈控制器和逻辑控制器。最后，我们给出了两个数值示例来证明理论结果的有效性。

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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Finite-time stability and stabilization of discrete-time hybrid systems

This paper is concerned with the finite-time stability and stabilization problems for a class of hybrid systems, which consists of discrete-time continuous-valued and Boolean dynamics. First, we introduce the so-called systems briefly and give the algebraic form of the systems via Khatri–Rao product and semi-tensor product (STP, i.e., Cheng product). Next, we originally propose the concept of finite-time stability (FTS) for the hybrid systems. Furthermore, some criteria of FTS for the hybrid systems are provided. Via a lemma we present, the computational complexity of the condition on FTS for the logical part could be reduced to $O (1)$ . Based on these obtained results, two classes of controllers, state feedback controllers and logical controllers, are designed. Finally, two numerical examples are given to demonstrate the effectiveness of the theoretical results.

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.