凸多面体不确定时滞系统的鲁棒广义H_2控制  

Robust Generalized H_2 Control for Time-delay System with Polytopic Uncertainties

作　　者：温彦超[1] 王汝凉[2] 黎艳萍[3] 李晓霞[3] 

机构地区：[1]中山大学附属中学三水实验学校,广东佛山528145 [2]广西师范学院信息技术系,广西南宁530023 [3]广西师范学院数学科学学院,广西南宁530023

出　　处：《广西科学院学报》2009年第3期168-172,共5页Journal of Guangxi Academy of Sciences

摘　　要：利用变量分离方法得出闭环时滞系统具有指定广义H2性能的一个等价条件,再根据该等价条件,给出凸多面体不确定时滞系统存在鲁棒L2-L∞状态反馈控制器的一个充分条件及控制器的设计方法,并用算例验证该方法能够求出凸多面体不确定时滞系统的最优扰动衰减水平,具有较小保守性。An equivalent condition of the closed-loop time-delay system satisfying the generalized H2 performance was derived by using the method of variant separation. Based on the equivalent condition, a suffcient condition for the existence and design method of the generalized H2 controller were given for the time-delay system with polytopic uncertainties. An illustrative example shows the minimum disturbance attenuation level with less conservative can be calculated by this method.

关 键 词：时滞系统 广义H2控制 凸多面体 

分 类 号：O231[理学—运筹学与控制论] TP13[理学—数学]