基于积分二次约束混合摄动系统的摄动界  

Stability Margin of Systems With MixedUncertainties Under the IQC Descriptions

作　　者：董海荣[1] 耿志勇[1] 王金枝[1] 黄琳[1] 

机构地区：[1]北京大学力学与工程科学系

出　　处：《应用数学和力学》2002年第11期1133-1140,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(19972001);高等学校骨干教师资助项目;国家重点基础研究专项经费资助项目(No.G1998020302)

摘　　要：　讨论正向通道为线性不确定系统,反馈通道为非线性动态不确定系统组成的不确定混合摄动系统的摄动界问题·　假定其线性部分的参数不确定由区间摄动模式描述,非线性部分的动态不确定由积分二次约束(IQC)描述·　用Minkowski泛函出给出区间摄动模式下的摄动界的定义。Stability perturbation bounds problem for systems with mixed uncertainties is discussed . It is supposed that the linear part in the forwark loop is of parametric unceratinties described by interval perturbation mode,and that the non_linear part in the feedback loop is characterized by an integral quadratic constraint(IQC).The definition of stability margin under the interval perturbation mode is given by using the Minkowski functional .The infinite stability checking problem of the mixed uncertain system can be coverted to finite or one dimensional stability checking for different structures of the IQC multipliers based on the concepts of biconvex and convex_concave functions and their properties .The result is illustrated to be efficient through an example.

关 键 词：混合摄动系统 摄动界 积分二次约束 参数不确定 稳定检验 鲁棒控制 

分 类 号：O231[理学—运筹学与控制论]