带停留时间的开关式 Lurie 系统的 H∞ 控制

IF 1.4 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering Pub Date : 2024-02-19 DOI:10.1177/09596518241226549

Wenxiu Zhao, Yuangong Sun

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引用次数: 0

摘要

本文论述了开关 Lurie 系统的[公式：见正文]控制问题。我们的目的是设计具有时变控制增益的开关信号和状态反馈控制器，使闭环开关 Lurie 系统绝对稳定。基于开关时变 Lyapunov-Lurie 函数，提出了与两种开关信号相对应的时变控制器。在此基础上，给出了控制合成条件。值得一提的是，我们的结果可以处理所有子系统都不稳定的情况。最后，我们将所获得的结果应用于具有参数值切换功能的柔性关节机械臂模型。我们还考虑了另一个开关 Lurie 系统的仿真实例，以说明所介绍方法的有效性。

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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H∞ control of switched Lurie systems with dwell time

This article deals with the [Formula: see text] control problems of switched Lurie systems. Our purpose is to design switching signals and state feedback controllers with time-varying control gains that make the closed-loop switched Lurie systems absolutely stable. Based on switched time-varying Lyapunov–Lurie function, time-varying controllers corresponding to two kinds of switching signals are proposed. On this basis, the control synthesis conditions are given. It is worth mentioning that our results can deal with the situation that all subsystems are not stabilizable. Finally, the obtained results are applied to a flexible joint robotic arm model with switchings of parameter values. Another simulation example of switched Lurie systems is considered to illustrate the validity of the presented approaches.

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来源期刊

Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 工程技术-自动化与控制系统

CiteScore

3.50

自引率

18.80%

发文量

审稿时长

4.2 months

期刊介绍： Systems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering refleSystems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering reflects this diversity by giving prominence to experimental application and industrial studies. "It is clear from the feedback we receive that the Journal is now recognised as one of the leaders in its field. We are particularly interested in highlighting experimental applications and industrial studies, but also new theoretical developments which are likely to provide the foundation for future applications. In 2009, we launched a new Series of "Forward Look" papers written by leading researchers and practitioners. These short articles are intended to be provocative and help to set the agenda for future developments. We continue to strive for fast decision times and minimum delays in the production processes." Professor Cliff Burrows - University of Bath, UK This journal is a member of the Committee on Publication Ethics (COPE).cts this diversity by giving prominence to experimental application and industrial studies.