Bresse系统的内部时滞控制器的设计

陈昊,王小瑞

系统科学与数学 ›› 2018, Vol. 38 ›› Issue (1) : 16-36.

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PDF(383 KB)
系统科学与数学 ›› 2018, Vol. 38 ›› Issue (1) : 16-36. DOI: 10.12341/jssms13319
论文

Bresse系统的内部时滞控制器的设计

    陈昊,王小瑞
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Design of Controller of a Bresse System with Delayed Control

    CHEN Hao ,WANG Xiaorui
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文章历史 +

摘要

研究具有内部分布时滞控制的Bresse系统镇定问题. 目标是设计反馈控制器使得闭环系统指数稳定. 不同于以前的控制器设计方法, 文章采用系统反馈等价方法, 通过设计目标系统, 应用系统等价方法寻找反馈控制律. 利用具有奇异积核的积分变换, 实现了当前控制系统与目标系统的等价. 所应用的方法克服了通常反馈控制闭环系统的稳定性分析的困难.

Abstract

In this paper, we consider the stabilization problem of the Bresse system with internal delayed control. Our aim is to design the feedback controller such that the closed loop system stabilizes exponentially. Different from the existing design approaches, we employ the system equivalence to find a feedback control law via constructing a target system. We find a transform which contains Singular kernel that establishes an equivalent relationship between the target system and our delayed control system. Compared with other existing methods, our method overcomes the difficulty in stability analysis of the closed loop system.

关键词

Bresse系统 / 时滞控制 / 指数镇定 / 系统等价方法.

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陈昊 , 王小瑞. Bresse系统的内部时滞控制器的设计. 系统科学与数学, 2018, 38(1): 16-36. https://doi.org/10.12341/jssms13319
CHEN Hao , WANG Xiaorui. Design of Controller of a Bresse System with Delayed Control. Journal of Systems Science and Mathematical Sciences, 2018, 38(1): 16-36 https://doi.org/10.12341/jssms13319
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