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一类具有延时的耦合分布参数系统的采样控制

薛玉伟 陈娟 张晨龙

常州大学学报(自然科学版)2026,Vol.38Issue(4):81-92,12.
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常州大学学报(自然科学版)2026,Vol.38Issue(4):81-92,12.DOI:10.3969/j.issn.2095-0411.2026.04.009

一类具有延时的耦合分布参数系统的采样控制

Sampled-data control for a class of coupled distributed parameter systems with time-delay

薛玉伟 1陈娟 1张晨龙1

作者信息

  • 1. 常州大学 计算机与人工智能学院,江苏 常州 213164
  • 折叠

摘要

Abstract

This study addresses the control problem of a class of coupled distributed parameter sys-tems,nonconstant-coefficient coupled reaction-diffusion systems.Such systems are subject to uncer-tain parameters,under a sampled-data control strategy.It serves as an extension of the sampled-data control problem for a single constant coefficient reaction-diffusion system.To begin with,a sampled-data controller to stabilize the system with time-varying delay was designed and sufficient conditions to ensure exponential stability of the system were established.Furthermore,considering the destabili-zing influence of disturbances from various sources on the system,the robust stability and H∞ proper-ty of the uncertain system was inverstigated.Under the sampled-data controller,criteria for achieving robust stability and H∞ performance respectively was derived.Finally,the effectiveness of our pro-posed method through numerical simulations were validated.

关键词

分布参数系统/耦合系统/指数稳定性/鲁棒稳定性/H∞性能

Key words

distributed parameter systems/coupled systems/exponential stability/robust stability/H∞ performance

分类

信息技术与安全科学

引用本文复制引用

薛玉伟,陈娟,张晨龙..一类具有延时的耦合分布参数系统的采样控制[J].常州大学学报(自然科学版),2026,38(4):81-92,12.

基金项目

国家自然科学基金资助项目(62203070) (62203070)

江苏省研究生创新计划资助项目(KYCX23_3068). (KYCX23_3068)

常州大学学报(自然科学版)

2095-0411

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