基于积分二次约束混合摄动系统的摄动界

董海荣; 耿志勇; 王金枝; 黄琳

基于积分二次约束混合摄动系统的摄动界

1.
北京大学, 力学与工程科学系, 北京, 100871;
2.
北方交通大学, 电子信息工程学院, 北京, 100044

基金项目: 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)

详细信息

作者简介:
董海荣(1974- ),女,河南人,博士(E-mail:hrdong@water.pku.edu.cn).

中图分类号: TP273;O175
计量
- 文章访问数: 2072
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- 被引次数: 0
出版历程
- 收稿日期: 2001-08-13
- 修回日期: 2002-07-10
- 刊出日期: 2002-11-15

Stability Margin of Systems With Mixed Uncertainties Under the IQC Descriptions

1.
Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, P R China;
2.
School of Electronics and Information Engineering, North Jiaotong University, Beijing 100044, P R China

摘要

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,并给出参数空间中混合摄动模式下系统摄动界的估计式。根据双凸函数和凹凸函数的特性把混合摄动系统的无穷稳定检验问题转化为顶点检验和一维检验问题。最后给出例子。
- 混合摄动 /
- 摄动界 /
- 积分二次约束 /
- 参数不确定 /
- 稳定检验
Abstract: 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.
- system with mixed uncertainty /
- perturbation margin /
- integral quadratic constraint /
- parametric uncertainty /
- stability checking

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参考文献(9)

[1]	Bartlett A C,Hollot C V,Huang L.Root location of an entire polytope of polynomials:It suffices to check the edges[J].Mathematic Control Signals Systems,1988,1(1):61-71.
[2]	HUANG Lin,WANG Long.Value mapping and parameterization approach to robust stability[J].Science in China(A),1991,34(10):1122-1232.
[3]	Safonov M G.Stability and Robustness of Multivariable Feedback Systems[M].Cambridge:MIT Press,1980.
[4]	J^Lsson U.Robust Analysis of Uncertain and Nonlinear Systems[M].Sweden:Lund,1996.
[5]	Megretski A,Rantzer A.Systems analysis via integral quadratic constraints[J].IEEE Transaction Automatica Control,1997,42(6):819-830.
[6]	DONG Hai-rong,GENG Zhi-yong,HUANG Lin.Stability analysis for the systems with feedback norm constraint uncertainties[J].International Journal of Control,2001,74(9):949-956.
[7]	Chapellat H,Dahleh M,Bhattacharyya S P.Robust stability under structured and unstructured perturbations[J].IEEE Transaction Automatica Control,1990,35(10):1100-1108.
[8]	GEMG Zhi-yong,HUANG Lin.Robust stability of the systems with mixed uncertainties under the IQC descriptions[J].International Journal of Control,2000,73(9):776-786.
[9]	GENG Zhi-yong,HUANG Lin.Robust stability of systems with both parametric and dynamic uncertainties[J].System and Control Letters,2000,39(2):87-96.