一类输入时滞的不确定多时滞非线性系统的新型自适应H^∞控制  

A NEW APPROACH OF ADAPTIVE H^∞ CONTROL FOR A CLASS OF UNCERTAIN NONLINEAR TIME-DELAY SYSTEM WITH MULTIPLE TIME DELAY AND UNCERTAIN 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,南京210096

出　　处：《系统科学与数学》2007年第6期880-891,共12页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(60574006);博士点基金(20030286013)

摘　　要：针对一类带未知输入时滞参数且含未知上界的不确定非线性环节的时滞系统,基于LMI方法,采用一种基于"descriptor form"的Lyapunov-Krasovskii泛函方法和新型的带记忆的状态反馈控制,使得时滞参数、未知上界向量这两种参数的自适应律均能反映其实时估计值与其实际接近值之间的差值,从而突破以往自适应控制对估计值的大小限制和保证限制成立的"调整参数"计算的困难,给出了针对这两种参数的新型自适应H∞控制器的设计方案,一仿真实例证明了该控制方案的有效性.A method of LMI, a kind of Lyapunov-Krasovskii functional, which is based on ＂descriptor form＂, and a new type of memory state feedback controller are used to solve the problem of H^∞ controller, designing new adaptive strategies for two unknown constant： input delay and up bound for norm of the uncertain nonlinear part. This type of strategy isn＇t limited in the estimate value as that of the old adaptive controllers and manages to avoid calculating ＂adjusting constant＂, which guarantees the limitation as the old adaptive controllers, by reflecting difference between the estimate value and the value being close to the practical. The sufficient condition of its solution is given with a numerical example.

关 键 词：输入时滞 不确定非线性环节 多时滞 基于“descriptor form”的LyapunovKrasovskii泛函 新型自适应控制 H^∞控制 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]