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线性自抗扰控制器的稳定性研究
引用本文:陈增强,孙明玮,杨瑞光.线性自抗扰控制器的稳定性研究[J].自动化学报,2013,39(5):574-580.
作者姓名:陈增强  孙明玮  杨瑞光
作者单位:1.南开大学自动化系 天津 300071
基金项目:国家自然科学基金(61174094)资助~~
摘    要:研究了线性扩张状态观测器(Extended state observer, ESO)的估计能力,并且分析了在线性自抗扰控制(Linear active disturbance rejection control, LADRC)下闭环系统的稳定性. 对于系统模型未知的情形, 给出了线性扩张观测器估计误差有界的证明, 并通过分析得出了如下结论: 在扩张状态观测器跟踪误差趋于零的前提下, 在线性自抗扰控制下的闭环系统可以实现对设定信号的精确跟踪以及输入-输出有界(Bounded input and bounded output, BIBO)稳定.

关 键 词:自抗扰控制    线性自抗扰控制    扩张状态观测器    稳定性    输入-输出有界稳定
收稿时间:2012-5-15
修稿时间:2012-9-22

On the Stability of Linear Active Disturbance Rejection Control
CHEN Zeng-Qiang,SUN Ming-Wei,YANG Rui-Guang.On the Stability of Linear Active Disturbance Rejection Control[J].Acta Automatica Sinica,2013,39(5):574-580.
Authors:CHEN Zeng-Qiang  SUN Ming-Wei  YANG Rui-Guang
Affiliation:1.Department of Automation, Nankai University, Tianjin 300071
Abstract:This paper investigates the estimation ability of linear extended state observer (ESO) and the stability of the closed-loop system under the linear active disturbance rejection control (LADRC). The bounds of the estimation tracking errors for linear extended state observer (ESO) are proved when the mathematical model of the plant is not given, and the following results are given: under the condition that the tracking error of ESO converges to zero, the accurate tracking to the setpoint signal and the bounded input and bounded output (BIBO) stability can be achieved for the closed loop system under the control of LADRC.
Keywords:Active disturbance rejection control (ADRC)  linear active disturbance rejection control (LADRC)  extended state observer (ESO)  stability  bounded input and bounded output (BIBO) stability
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