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一类线性不确定多时滞系统的鲁棒控制
引用本文:彭达洲,胥布工.一类线性不确定多时滞系统的鲁棒控制[J].华南理工大学学报(自然科学版),2003,31(7):91-94.
作者姓名:彭达洲  胥布工
作者单位:华南理工大学自动化科学与工程学院,广东,广州,510640
基金项目:国家自然科学基金(60074026),广东省自然科学基金(000409)
摘    要:采用频域法研究了一类含多个未知常时滞的线性不确定系统的区域鲁棒控制问题,建立了使闭环系统极点分布在复平面左半平面的某个对称区域的线性矩阵不等式(LMI)条件.所得结果只依赖于时滞和不确定参数的上界并表示为LMI形式,易于进行数值处理.最后以一个例子显示其具体应用方法.

关 键 词:多时滞系统  不确定性  区域鲁棒控制  线性矩阵不等式
文章编号:1000-565X(2003)07-0091-04
修稿时间:2003年1月13日

Robust Control for a Class of Linear Uncertain Systems with Multiple Delays
Peng Da-zhou Xu Bu-gong.Robust Control for a Class of Linear Uncertain Systems with Multiple Delays[J].Journal of South China University of Technology(Natural Science Edition),2003,31(7):91-94.
Authors:Peng Da-zhou Xu Bu-gong
Abstract:The regional robust control for a class of linear uncertain systems with multiple unknown constant delays is studied by using frecency domain techniques in this paper. The stabilization conditions such as that all poles of the closed-loop system under consideration lie in a certain symmetric region in the left-hand side of the complex plane are established. The result only depends on the upper bounds of delays and uncertain parameters, and is presented in the form of linear matrix inequalities (LMIs) so that it is easy to be calculated numerically. An example is also given to illustrate the proposed method.
Keywords:system with multiple delays  uncertainty  regional robust control  linear matrix inequality
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