基于周期事件驱动的切换系统<i>H</i><sub>∞</sub>跟踪控制

董潇潇; 乔欢

doi:10.16383/j.aas.c220754

基于周期事件驱动的切换系统H_∞跟踪控制

doi: 10.16383/j.aas.c220754

董潇潇^1,,
乔欢^1,

1.
沈阳工业大学理学院沈阳 110870

基金项目: 国家自然科学基金(61503254, 61673099)资助

详细信息

作者简介:
董潇潇：沈阳工业大学理学院副教授. 主要研究方向为切换系统, 非线性控制系统. 本文通信作者. E-mail: dongxiaoxiao0331@sina.com

乔欢：沈阳工业大学理学院硕士研究生. 主要研究方向为切换系统控制. E-mail: qiaohuan0428@163.com

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出版历程
- 收稿日期: 2022-09-21
- 录用日期: 2023-03-05
- 网络出版日期: 2023-04-26

Periodic Event-triggered H_∞ Tracking Control for Switched Nonlinear Systems

DONG Xiao-Xiao^1
,,
QIAO Huan^1
,

1.
School of Science, Shenyang University of Technology, Shenyang 110870

Funds: Supported by National Natural Science Foundation of China (61503254, 61673099)

More Information

Author Bio:
DONG Xiao-Xiao　Associate professor at the School of Science, Shenyang University of Technology. Her research interest covers switched systems, nonlinear systems control. Corresponding author of this paper

QIAO Huan　Master student at the School of Science, Shenyang University of Technology. Her main research interest is switched system control

摘要

摘要: 针对级联非线性切换系统, 提出了基于周期事件驱动机制的H_∞输出跟踪控制策略. 首先, 基于提出的周期事件驱动方案, 设计了积分型控制器, 并将闭环系统转化为时滞切换系统. 其次, 考虑子系统与控制器异步切换的情况, 并给出驻留时间与平均驻留时间满足的关系, 从而得到H_∞输出跟踪控制问题可解的充分条件. 最后, 给出数值仿真验证主要方法的有效性.
- 级联非线性切换系统 /
- 周期事件驱动控制 /
- 平均驻留时间 /
- H_∞跟踪控制
Abstract: This paper proposes an H_∞ output tracking control strategy based on the periodic event-triggered mechanism for cascade switched nonlinear systems. Firstly, based on the event-triggered scheme, an integral controller is designed to transform the closed-loop systems into a switched system with time-delay state. Secondly, considering the asynchronous switching of the subsystem and the controller, and giving the relationship between the dwell time and average dwell time, a sufficient condition for H_∞ output tracking control problem to be solvable is obtained. Finally, numerical simulations are presented to verify the effectiveness of the main method.
- Switched nonlinear systems /
- periodic event-triggered control /
- average dwell time /
- H_∞tracking control

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图 1 闭环系统的状态响应

Fig. 1 State responses of the closed-loop system

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图 2 切换系统的输出和参考信号

Fig. 2 Output of the switched system and the reference signal

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图 3 事件驱动时刻和保持间隔

Fig. 3 The triggered instants and holding intervals

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图 4 系统和控制器切换信号

Fig. 4 Switching signal of the system and the controller

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