一类具输入时滞的分布参数系统移动控制

doi:10.3969/j.issn.1001-506X.2020.11.23

系统工程与电子技术 ›› 2020, Vol. 42 ›› Issue (11): 2600-2606.doi: 10.3969/j.issn.1001-506X.2020.11.23

一类具输入时滞的分布参数系统移动控制

付焕森^1,²(), 崔宝同¹(), 庄波¹(), 张建中³()

1. 江南大学物联网工程学院, 江苏无锡 214122
2. 泰州学院船舶与机电工程学院, 江苏泰州 225300
3. 泰山学院数学与统计学院, 山东泰安 271000

收稿日期:2020-01-09 出版日期:2020-11-01 发布日期:2020-11-05
作者简介:付焕森(1982-),男,副教授,博士研究生,主要研究方向为分布参数系统控制理论与应用。E-mail:fuhuansen@163.com|崔宝同(1960-),男,教授,博士研究生导师,博士,主要研究方向为复杂系统控制理论与应用。E-mail:btcui@jiangnan.edu.cn|庄波(1976-),男,副教授,博士,主要研究方向为分布参数系统的控制。E-mail:bozhuang@jiangnan.edu.cn|张建中(1979-),男,讲师,博士,主要研究方向为基于分布参数系统的移动传感器执行器网络控制理论与应用。E-mail:zhangjz2018@163.com
基金资助:
国家自然科学基金(61473136);国家自然科学基金(61807016)

Mobile control of a class of distributed parameter systems with input delay

Huansen FU^1,²(), Baotong CUI¹(), Bo ZHUANG¹(), Jianzhong ZHANG³()

1. School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China
2. School of Shipping and Mechatronic Engineering, Taizhou University, Taizhou 225300, China
3. School of Mathematics and Statistics, Taishan University, Taian 271000, China

Received:2020-01-09 Online:2020-11-01 Published:2020-11-05

摘要/Abstract

摘要：

基于移动传感器/执行器网络,研究了一类具有输入时滞的分布参数系统稳定性控制问题。利用抽象发展方程理论、算子半群理论和Lyapunov稳定性定理,设计系统的反馈控制器;再结合移动传感器/执行器的动力学行为,设计其控制力。证明了在反馈控制器和控制力的作用下,分布参数系统在具输入时滞情况下是渐近稳定的。通过数值仿真实验表明,不同的输入时滞,对系统的稳定效果有一定的影响,但在控制力的作用下,系统都能趋于稳态,说明本文中对于具有输入时滞的分布参数系统的控制策略是有效的。

关键词: 移动传感器/执行器网络, 输入时滞, 分布参数系统, 移动控制力

Abstract:

Based on the mobile sensor/actuator networks, the stability control of a class of distributed parameter systems with input delay is studied. The abstract development equation theory, operator semigroup theory and Lyapunov stability theorem are used to design the feedback controller of the systems; and the dynamic behavior of the mobile sensor/actuator is combined to design its control force. It is proved that the distributed parameter systems with input delay are asymptotically stable under the action of the feedback controller and the control force. Numerical simulation experiments show that the stability of the systems is affected by different input time delays, but the systems tend to be steady under the action of the control force, which indicates that the control strategy proposed in this paper is effective for this kind of distributed parameter systems with input delay.

Key words: mobile sensor/actuator network, input delay, distributed parameter system, mobile control force

中图分类号:

TP273

付焕森, 崔宝同, 庄波, 张建中. 一类具输入时滞的分布参数系统移动控制[J]. 系统工程与电子技术, 2020, 42(11): 2600-2606.

Huansen FU, Baotong CUI, Bo ZHUANG, Jianzhong ZHANG. Mobile control of a class of distributed parameter systems with input delay[J]. Systems Engineering and Electronics, 2020, 42(11): 2600-2606.

图/表 5

参考文献 23

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一类具输入时滞的分布参数系统移动控制

Mobile control of a class of distributed parameter systems with input delay

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