一类Lipschitz非线性系统的事件触发动态输出反馈控制

刘智倩; 楼旭阳; 贾佳佳

doi:10.1631/FITEE.2100552

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一类Lipschitz非线性系统的事件触发动态输出反馈控制

常规文章 | Updated：2023-01-11

- 一类Lipschitz非线性系统的事件触发动态输出反馈控制
- Event-triggered dynamic output-feedback control for a class of Lipschitz nonlinear systems
- 信息与电子工程前沿（英文） 2022年23卷第11期页码：1684-1699
- Affiliations：
  
  Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China
- Author bio：
  
  ‡Corresponding author
- Funds：
  
  Jiangsu Provincial Natural Science Foundation of China(BK20201340);333 High-level Talents Training Project of Jiangsu Province, and the China Postdoctoral Science Foundation(2018M642160)
- DOI：10.1631/FITEE.2100552
  中图分类号： TP13
- 收稿：2021-11-29，
  
  录用：2021-12-21，
  
  网络出版：2022-04-23，
  
  纸质出版：2022-11-0
- Accepted：
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刘智倩, 楼旭阳, 贾佳佳. 一类Lipschitz非线性系统的事件触发动态输出反馈控制[J]. 信息与电子工程前沿（英文）, 2022,23(11):1684-1699.

Zhiqian LIU, Xuyang LOU, Jiajia JIA. Event-triggered dynamic output-feedback control for a class of Lipschitz nonlinear systems[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(11): 1684-1699.
刘智倩, 楼旭阳, 贾佳佳. 一类Lipschitz非线性系统的事件触发动态输出反馈控制[J]. 信息与电子工程前沿（英文）, 2022,23(11):1684-1699. DOI： 10.1631/FITEE.2100552.

Zhiqian LIU, Xuyang LOU, Jiajia JIA. Event-triggered dynamic output-feedback control for a class of Lipschitz nonlinear systems[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(11): 1684-1699. DOI： 10.1631/FITEE.2100552.

摘要

本文研究一类Lipschitz非线性系统的动态输出反馈控制问题。首先，针对该系统设计了一个连续时间控制器，并且给出了系统稳定的充分条件。其次，针对该Lipschitz非线性系统提出一种新的事件触发机制，在该触发机制中引入了新的事件触发条件，并构建了事件触发控制下的闭环混杂系统。在混杂系统框架下建立了闭环系统稳定的充分条件。此外，给出了最小事件间隔的上界，以避免Zeno现象。最后，通过在神经网络系统和基因调控网络系统中的数值仿真验证了理论结果及所提方法的优越性。

Abstract

This paper investigates the problem of dynamic output-feedback control for a class of Lipschitz nonlinear systems. First

a continuous-time controller is constructed and sufficient conditions for stability of the nonlinear systems are presented. Then

a novel event-triggered mechanism is proposed for the Lipschitz nonlinear systems in which new event-triggered conditions are introduced. Consequently

a closed-loop hybrid system is obtained using the event-triggered control strategy. Sufficient conditions for stability of the closed-loop system are established in the framework of hybrid systems. In addition

an upper bound of a minimum inter-event interval is provided to avoid the Zeno phenomenon. Finally

numerical examples of a neural network system and a genetic regulatory network system are provided to verify the theoretical results and to show the superiority of the proposed method.

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