脉冲控制扩展定理及应用

殷翔; 刘峰; 佘锦华

doi:10.16383/j.aas.c180059

脉冲控制扩展定理及应用

doi: 10.16383/j.aas.c180059

殷翔^1,2,,
刘峰^1,2, ,,
佘锦华^1,2,

1.
中国地质大学(武汉)自动化学院武汉 430074
2.
复杂系统先进控制与智能自动化湖北重点实验室武汉 430074

基金项目:

国家自然科学基金 61873348

国家自然科学基金 61976099

国家自然科学基金 61633011

国家自然科学基金 61472374

国家重点研发计划 2017YFB1300900

湖北自然科学基金 2015CFA010

教育部高等学校学科创新引智计划项目 B17040

详细信息

作者简介:
殷翔中国地质大学(武汉)自动化学院博士研究生. 2017年获得中国地质大学(武汉)自动化学院控制科学与工程专业硕士学位.主要研究方向为非线性控制系统, 先进控制理论及应用, 机电系统的高精度控制. E-mail: YinXiang_SP@163.com

佘锦华中国地质大学(武汉)自动化学院教授. 1983年获得中南矿冶学院工学学士学位. 1990年和1993年分别获得日本东京工业大学硕士和博士学位.主要研究方向为先进控制理论与应用, 重复控制, 机电系统的高精度控制, 机器人运动控制, 康复机器人, 计算智能的工业应用. E-mail: j_she@cug.edu.cn

通讯作者:
刘峰中国地质大学(武汉)自动化学院教授. 2008年获得华中科技大学控制理论与控制工程专业博士学位. 2011年华中科技大学通信与信息系统专业博士后出站.主要研究方向为非线性动力系统, 复杂系统与复杂网络, 脉冲混合系统与智能控制.本文通信作者.E-mail: fliu@cug.edu.cn

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出版历程
- 收稿日期: 2018-01-24
- 录用日期: 2018-04-04
- 刊出日期: 2020-01-21

Extension Theorem of Impulsive Control and Its Applications

YIN Xiang^{1,2
,},
LIU Feng^{1,2
, ,},
SHE Jin-Hua^{1,2
,}

1.
School of Automation, China University of Geosciences, Wuhan 430074
2.
Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074

Funds:

National Natural Science Foundation of China 61873348

National Natural Science Foundation of China 61976099

National Natural Science Foundation of China 61633011

National Natural Science Foundation of China 61472374

National Key Research and Development Program of China 2017YFB1300900

Hubei Provincial Natural Science Foundation of China 2015CFA010

111Project of China B17040

More Information

Author Bio:
YIN Xiang Ph. D. candidate at the School of Automation, China University of Geosciences, Wuhan. He received his master degree from China University of Geosciences (Wuhan) in 2017. His research interest covers nonlinear control system, advanced control theory and applications, and high precision control of mechatronic systems.)

SHE Jin-Hua Professor at the School of Automation, China University of Geosciences, Wuhan. He received his bachelor degree from Central South Institute of Mining and Metallurgy in 1983, and received his master and Ph. D. degrees from Tokyo Institute of Technology in 1990 and 1993, respectively. His research interest covers advanced control theory and applications, repetitive control, high precision control of mechatronic systems, robot motion control, rehabilitation robots, and industrial applications of computational intelligence.)

Corresponding author: LIU Feng Professor at the School of Automation, China University of Geosciences, Wuhan. He received his Ph. D. degree from Huazhong University of Science and Technology in 2008. From 2009 to 2011, he was a postdoctoral fellow in the Department of Electronics and Information Engineering, Huazhong University of Science and Technology. His research interest covers nonlinear dynamical systems, complex systems, complex networks, impulsive hybrid system, and intelligent control. Corresponding author of this paper.)

摘要

摘要: 本文在现有脉冲控制理论的基础上, 针对离散时滞系统, 提出了一种扩展脉冲控制的数学描述方法.基于该描述方法, 推导出脉冲控制扩展定理.该扩展定理的合理应用不仅可以有效避免执行器饱和特性的影响, 而且可以分析执行器存在响应时间时系统的稳定性.进一步研究发现, 当系统存在Neimark-Sacker分岔时, 依据扩展定理设计的控制器可以有效提高系统的临界分岔参数.
- 扩展脉冲控制 /
- 离散时滞系统 /
- 执行器饱和特性 /
- 响应时间
Abstract: This paper presents a mathematical description of extended impulsive control for discrete time-delay systems according to the impulsive control theory. Based on this mathematical description, the stability theorem of extended impulsive control is derived. The extension theorem not only avoids the influence of actuator saturation, but also can be used to analyze the stability of the system when the actuator has response time. Further research findings show that the controller designed according to extension theorem can greatly improve the critical bifurcation parameter of a system.
- Extended impulsive control /
- discrete time-delay systems /
- actuator saturation /
- actuator response time
Recommended by Associate Editor HE Wei
注释:

1) 本文责任编委贺威

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图 1 系统平衡点的稳定性分析

Fig. 1 The stable equilibrium of system

下载: 全尺寸图片幻灯片

图 2 系统的Neimark-Sacker分岔

Fig. 2 The Neimark-Sacker bifurcation of system

下载: 全尺寸图片幻灯片

图 3 传统脉冲控制镇定系统的分岔

Fig. 3 Conventional impulsive control the Neimark-Sacker bifurcation

下载: 全尺寸图片幻灯片

图 4 考虑执行器饱和特性时的脉冲控制系统

Fig. 4 The impulsive control system with actuator saturation

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图 5 扩展脉冲控制对系统的影响

Fig. 5 The influence of extended impulsive control on the system

下载: 全尺寸图片幻灯片

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