Robust stability of systems with both parametric and dynamic uncertainties

被引：4

作者：

Geng, ZY ^{[1
]}

Huang, L ^{[1
]}

机构：

[1] Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2000年 / 39卷 / 02期

关键词：

systems with mixed uncertainties; robust stability; parametric uncertainty; integral quadratic constraint; stability checking;

D O I：

10.1016/S0167-6911(99)00093-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the robust stability of a single-input-single-output systems with both parametric and dynamic uncertainties. The parametric uncertainties of the system are described by a polytopic perturbation mode, and the dynamic uncertainties are characterized by an integral quadratic constraint. Based on the concepts of biconvex and convex-concave functions and their properties, the problem of stability checking is discussed, and for different uncertainty structures of the system, the finite vertex-checking results and the edge-checking results are presented. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：87 / 96

页数：10

共 15 条

[1] Barmish B.R., 1994, New Tools for Robustness of Linear Systems
[2] INVARIANCE OF THE STRICT HURWITZ PROPERTY FOR POLYNOMIALS WITH PERTURBED COEFFICIENTS
BARMISH, BR
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (10) : 935 - 936
[3] BARMISH BR, 1990, P IEEE C CDC
[4] BARMISH BR, 1992, IEEE T AUTOMATIC CON, V37, P701
[5] Bartlett AC., 1988, MATH CONTROL SIGNALS, V1, P61, DOI [DOI 10.1007/BF02551236, 10.1007/BF02551236]
[6] DOYLE J, 1992, FEED BACK CONTROL TH
[7] GENG Z, UNPUB INT J CONTROL
[8] HUANG L, 1991, SCI CHINA SER A, V34, P1122
[9] JONSSON U, 1996, ROBUST ANAL UNCERTAI
[10] Kharitonov V. L., 1978, Differentsial'nye Uravneniya, V14, P2086

← 1 2 →