Stabilization of hybrid stochastic differential delay equations by feedback control based on discrete-time state observation

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2024-10-10 DOI:10.1016/j.ejcon.2024.101126

Yin-Qiu Zhang , Xing Chen , Guangying Lv

引用次数: 0

Abstract

For an unstable hybrid stochastic differential delay equation, this paper designs a feedback control based on discrete-time state observation to make the controlled system become almost sure exponential stability. In order to reveal the relationship between the two features contained in the system, namely, the dependence of duration between two consecutive observations on time-delay, the method of Lyapunov functional and auxiliary system are combined in this paper. It is shown that the underlying system possesses almost sure exponential stability for sufficiently small time-interval between two consecutive observations. Finally, an illustrative example is given to show the effectiveness of the proposed control strategy.

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通过基于离散时态观测的反馈控制稳定混合随机微分延迟方程

对于不稳定的混合随机微分延迟方程，本文设计了一种基于离散时间状态观测的反馈控制，使被控系统几乎确定指数稳定。为了揭示系统所包含的两个特征之间的关系，即两个连续观测值之间的持续时间对时延的依赖性，本文结合了李亚普诺夫函数和辅助系统的方法。结果表明，在两个连续观测值之间的时间间隔足够小的情况下，基本系统几乎肯定具有指数稳定性。最后，本文给出了一个示例来说明所提控制策略的有效性。

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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来源期刊

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.