基于多个非单调Lyapunov函数的切换系统异步弹性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 : 2023-11-10 DOI:10.1177/09596518231202945

Sicheng Shan, Yanhui Tong, Xiaohang Li, Yuyuan Li

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引用次数: 0

摘要

考虑到控制器参数的扰动在实际应用中可能会导致系统性能的严重下降，本文研究了平均停留时间切换下离散时间切换系统的异步弹性H∞控制问题。采用多重非单调Lyapunov函数方法分析系统的稳定性和H∞性能，降低系统的守恒水平。首先，导出了一般切换非线性系统的H∞稳定性判据，在此基础上进一步得到了异步平均停留时间切换下闭环系统的一个充分条件。然后，利用Fensler引理给出了弹性输出反馈H∞控制器的综合条件。最后，通过两个仿真实例验证了所提控制器设计方法的有效性和优越性。

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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Asynchronous resilient H_∞ control for switched systems via multiple non-monotonic Lyapunov functions

Considering that the perturbation of controller parameters may cause severe performance deterioration in practice, this work is focused on asynchronous resilient H ∞ control for discrete-time switched systems under average dwell time switching. The multiple non-monotonic Lyapunov function approach is employed to analyze the stability and H ∞ performance to reduce the conservation level. First, an H ∞ stability criterion is derived for general switched nonlinear systems, based on which a sufficient condition is further obtained for the resultant closed-loop system under asynchronous average dwell time switching. Then, a synthesis condition for a resilient output-feedback H ∞ controller is developed using Fensler’s lemma. Finally, the effectiveness and advantages of the proposed controller design method are demonstrated by two simulated examples.

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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.