Exponential admissibility and H∞ controller design for continuous-time nonlinear time-varying delay singular systems

IF 2.6 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-09-18 DOI:10.1016/j.ejcon.2025.101374

Le Van Hien , Le Huy Vu

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引用次数: 0

Abstract

This paper focuses on the problem of exponential admissibility and

H_{\infty}

controller design for continuous-time nonlinear time-varying delay singular systems (CTN-TVD-SSs). By formulating a set of enhanced Lyapunov–Krasovskii functionals, new delay-dependent conditions are established using linear matrix inequality (LMI) settings to guarantee the regularity, impulse-freeness, and exponential admissibility with an

H_{\infty}

performance level

γ

of the closed-loop system. A state feedback

H_{\infty}

controller (SF-

H_{\infty}

C) design is also discussed. Numerical examples with simulations are provided to illustrate the effectiveness of the obtained results.

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连续时间非线性时变时滞广义系统的指数容许性与H∞控制器设计

研究了连续时间非线性时变时滞奇异系统（CTN-TVD-SSs）的指数容许性和H∞控制器设计问题。通过构造一组增强的Lyapunov-Krasovskii泛函，利用线性矩阵不等式（LMI）设置建立了新的延迟相关条件，以保证闭环系统的正则性、脉冲无性和指数可容许性具有H∞性能水平γ。讨论了状态反馈H∞控制器（SF-H∞C）的设计。通过数值算例验证了所得结果的有效性。

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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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.