基于异步切换和可容许边依赖平均驻留时间方法的切换线性系统镇定研究

侯林林; 马萱; 孙海滨

doi:10.1631/FITEE.2000698

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基于异步切换和可容许边依赖平均驻留时间方法的切换线性系统镇定研究

常规文章 | Updated：2022-05-23

- 基于异步切换和可容许边依赖平均驻留时间方法的切换线性系统镇定研究
- Stabilization of switched linear systems under asynchronous switching subject to admissible edge-dependent average dwell time
- 信息与电子工程前沿（英文） 2022年23卷第5期页码：810-822
- Affiliations：
  
  1.School of Computer Science, Qufu Normal University, Rizhao276826, China
  2.College of Engineering, Qufu Normal University, Rizhao276826, China
- Author bio：
  
  ‡Corresponding author
  E-mail: maxuan24@163.com;
  E-mail: fengyun198212@163.com
- Funds：
  
  National Natural Science Foundation of China(61873331;61773236;61773235);Natural Science Foundation of Shandong Province, China(ZR2020YQ48)
- DOI：10.1631/FITEE.2000698
  中图分类号： TP13
- 录用：2021-03-07，
  
  网络出版：2022-04-11，
  
  纸质出版：2022-05-0
- Accepted：
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侯林林, 马萱, 孙海滨. 基于异步切换和可容许边依赖平均驻留时间方法的切换线性系统镇定研究[J]. 信息与电子工程前沿（英文）, 2022,23(5):810-822.

Linlin HOU, Xuan MA, Haibin SUN. Stabilization of switched linear systems under asynchronous switching subject to admissible edge-dependent average dwell time[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(5): 810-822.
侯林林, 马萱, 孙海滨. 基于异步切换和可容许边依赖平均驻留时间方法的切换线性系统镇定研究[J]. 信息与电子工程前沿（英文）, 2022,23(5):810-822. DOI： 10.1631/FITEE.2000698.

Linlin HOU, Xuan MA, Haibin SUN. Stabilization of switched linear systems under asynchronous switching subject to admissible edge-dependent average dwell time[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(5): 810-822. DOI： 10.1631/FITEE.2000698.

摘要

本文研究异步切换条件下切换线性系统的镇定问题。采用可容许边依赖平均驻留时间方法，设计包含慢可容许边依赖平均驻留时间和快可容许边依赖平均驻留时间的切换信号。这种切换信号设计方法消除了异步切换最大延迟事先已知的限制。构造的李雅普诺夫函数与系统模态和控制器模态均相关。给出了获取控制器增益和设计切换信号的稳定性准则及相应算法。最后，通过两个算例验证了所提结果的有效性。

Abstract

The problem of stabilizing switched linear systems under asynchronous switching is addressed. The admissible edge-dependent average dwell time method is applied to design a switching signal that comprises slow admissible edge-dependent average dwell time and fast admissible edge-dependent average dwell time. Under this switching signal

the restriction that the maximum delay of asynchronous switching is known in advance is removed. The constructed Lyapunov function is associated with both the system mode and controller mode. The stabilization criteria and the corresponding algorithm are presented to obtain the controller gains and to design the switching signal. Finally

two examples are given to demonstrate the effectiveness of the proposed results.

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references

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