Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (11): 1274-1281.

• 论文 • 上一篇    下一篇

STABILITY MARGIN OF SYSTEMS WITH MIXED UNCERTAINTIES UNDER THE IQC DESCRIPTIONS

董海荣1,2, 耿志勇1, 王金枝1, 黄琳1   

  1. 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
  • 收稿日期:2001-08-13 修回日期:2002-07-10 出版日期:2002-11-18 发布日期:2002-11-18
  • 基金资助:
    the National Natural Science Foundation of China(19972001);the Founda-tion for University Key Teacher by the Ministry of Education of China;the National Key Project of Chinaand the National Key Basic Research Special Fund of China(G1998020301)

STABILITY MARGIN OF SYSTEMS WITH MIXED UNCERTAINTIES UNDER THE IQC DESCRIPTIONS

DONG Hai-rong1,2, GENG Zhi-yong1, WANG Jin-zhi1, HUANG Lin1   

  1. 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
  • Received:2001-08-13 Revised:2002-07-10 Online:2002-11-18 Published:2002-11-18
  • Supported by:
    the National Natural Science Foundation of China(19972001);the Founda-tion for University Key Teacher by the Ministry of Education of China;the National Key Project of Chinaand the National Key Basic Research Special Fund of China(G1998020301)

PDF

307

摘要： Stability perturbation bounds problem for systems with mixed uncertainties is discussed It is supposed that the linear part in the forward loop is of parametric uncertainties described by interval perturbation mode, and that the nonlinear 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 converted 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: system with mixed uncertainty, perturbation margin, integral quadratic constraint, parametric uncertainty, stability checking

Abstract: Stability perturbation bounds problem for systems with mixed uncertainties is discussed It is supposed that the linear part in the forward loop is of parametric uncertainties described by interval perturbation mode, and that the nonlinear 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 converted 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.

Key words: system with mixed uncertainty, perturbation margin, integral quadratic constraint, parametric uncertainty, stability checking

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn