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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
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).
