异步时滞切换正系统的有限时间镇定
作者:
作者单位:

江南大学

作者简介:

通讯作者:

中图分类号:

TP273

基金项目:

国家自然科学基金项目(重大项目, 面上项目)Nos. 61991402, 62073154


Finite-time Stabilization for Switched Positive Linear Systems under Asynchronous Switching
Author:
Affiliation:

Jiangnan University

Fund Project:

The National Natural Science Foundation of China (Major Research Plan, General Program) Nos. 61991402, 62073154

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    摘要:

    本文旨在研究异步切换下时滞切换正系统的有限时间控制问题,即针对控制器切换滞后于子系统切换形成的异步现象,基于平均驻留时间切换方法对切换正系统开展有限时间镇定研究.首先,将每个正子系统运行的区间划分为子系统与控制器匹配和失配区间,并构造多余正Lyapunov-krasovskii泛函;其次,基于有限时间稳定理论,实现平均驻留时间切换律及异步有限时间镇定控制器的联合设计,并给出连续时间和离散时间两种情形下系统有限时间镇定的充分条件;最后,通过仿真结果验证所提方法的有效性.

    Abstract:

    This paper aims to investigate the finite-time control problem of time-delay switched positive systems under asynchronous switching. That is, for the asynchronous phenomenon caused by the switching of the controller lagging behind the switching of the subsystems, a finite-time stabilization research is carried out for switched positive systems based on the average dwell time switching method. Firstly, the running interval of each positive subsystem is divided into controller matched interval and controller mismatched interval, and the multiple co-positive Lyapunov-krasovskii functional is constructed; Secondly, based on the finite-time stability theory, suitable average dwell time switching law and controllers that guarantee the time-delay switched positive system under asynchronous switching is finite-time stable are designed, and sufficient conditions of the finite-time stabilization for both continuous time and discrete time systems are given. Finally, two examples are provided to verify the effectiveness of the proposed method.

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历史
  • 收稿日期:2021-01-09
  • 最后修改日期:2021-05-20
  • 录用日期:2021-06-03
  • 在线发布日期: 2021-07-01
  • 出版日期: