一类输入时滞的线性时滞系统的自适应H~∞控制  

Adaptive H~∞ Control for a Class of Linear Time Delay Systems with Input Delay

作　　者：柴琳[1] 费树岷[1] 

机构地区：[1]东南大学自动控制系自动化研究所,江苏南京210096

出　　处：《系统工程理论与实践》2006年第3期61-67,共7页Systems Engineering-Theory & Practice

基　　金：国家攀登计划(970211017);国家自然科学基金(69934010;60074015)

摘　　要：针对一类带输入时滞且状态时滞常数未知的线性时滞系统,基于LMI方法,采用一种基于“descriptor form”的Lyapunov-Krasovskii函数和带记忆的状态反馈控制,设计了一种带未知时滞估计项的记忆型状态反馈控制器,给出了针对未知状态时滞参数的自适应控制的H∞控制器设计方案,并对系统的稳定性进行了证明.Based on a method of LMI, a type of Lyapunov-Krasovskii functional based on ＂descriptor form＂ is made use of, and the problem of H^∞ controller design is solved for a class of linear time-delay systems with input delay via the mcmorylcss and memory state feedback control, in which the estimate of the unknown delay parameter is contained in the memory part. At the same time, an adaptive control strategy for the unknown delay parameter is proposed in this paper. The sufficient condition of its solution is given with proof for stability of the close loop system.

关 键 词：输入时滞 线性矩阵不等式 基于“descriptor form”的Lyapunov-Krasovskii 自适应控制 H无穷控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]