线性不确定多时滞系统的α-鲁棒控制  

α-robust stabilization for linear uncertain systems with multiple delays

作　　者：彭达洲[1] 胥布工[1] 郭云志[1] 

机构地区：[1]华南理工大学自动化科学与工程学院,广东广州510640

出　　处：《控制理论与应用》2004年第1期97-100,共4页Control Theory & Applications

基　　金：国家自然科学基金项目(60074026);广东省自然科学基金项目(000409).

摘　　要：通过分析时滞系统超越型的特征方程的根的分布,并结合线性矩阵不等式(LMI)技术研究了含多个不确定常时滞的线性不确定时滞系统的可α＿鲁棒镇定及其控制器设计问题,得到了相应的α＿鲁棒无记忆反馈控制律.不同于一般的结果,本方法得到的控制器不但使得系统可鲁棒镇定,而且闭环系统特征方程的根的实部均小于等于某个指定的负数.结果表示为LMI形式,易于进行数值处理.最后以一个数值例子显示了所得结果的有效性及其应用方法.The α-robust stabilization and α-robust controller design for linear uncertain systems with multiple unknown constant delays were studied by analyzing the distribution of the roots of their transcendental characteristic equations and using LMI technology, and corresponding α-robust memoryless feedback control law was obtained. Being different from common results, the obtained controller not only ensured the system robust stabilization, but also let the real part of all roots of the closed-loop system's characteristic equation less than or equal to a certain negative. The result was presented in the form of Linear Matrix Inequality(LMI) problem so that it was easy to be calculated. A computation example was given to illustrate the proposed method.

关 键 词：线性不确定多时滞系统 α-鲁棒控制 线性矩阵不等式 鲁棒镇定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]