Ellipsoidal approximation of the stability domain of a polynomial

被引：40

作者：

Henrion, D ^{[1
]}

Peaucelle, D

Arzelier, D

Sebek, M

机构：

[1] CNRS, Lab Anal & Architecture Syst, F-31077 Toulouse, France

[2] Acad Sci Czech Republ, Inst Informat Theory & Automat, Prague 18208, Czech Republic

[3] Czech Tech Univ, Ctr Appl Cybernet, Dept Control Engn, Prague 16627, Czech Republic

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2003年 / 48卷 / 12期

关键词：

algebraic stability criteria; linear matrix inequalities (LMIs); linear systems; polynomials;

D O I：

10.1109/TAC.2003.820161

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The stability domain in the space of coefficients of a polynomial is a nonconvex set in general. In this note, we propose a new convex ellipsoidal inner approximation of this set derived via optimization over linear matrix inequalities. As a by-product, we obtain new simple sufficient conditions for stability that may prove useful in robust control design.

引用

页码：2255 / 2259

页数：5

共 39 条

[1] PARAMETER SPACE DESIGN OF ROBUST CONTROL-SYSTEMS [J].

ACKERMANN, J .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (06) :1058-1072

[2]

Ackermann J., 1993, Robust Control: Systems with Uncertain Physical Parameters

[3]

Ballamudi RK, 1995, PROCEEDINGS OF THE 34TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P4360, DOI 10.1109/CDC.1995.478928

[4]

Barmish B.R., 1994, New Tools for Robustness of Linear Systems

[5]

Bhattacharyya S., 1995, ROBUST CONTROL PARAM

[6]

BHATTACHARYYA SP, 1995, NEW TOOLS ROBUSTNESS

[7] Robustness analysis tools for an uncertainty set obtained by prediction error identification [J].

Bombois, X ;

Gevers, M ;

Scorletti, G ;

Anderson, BDO .

AUTOMATICA, 2001, 37 (10) :1629-1636

[8]

Boyd S., 1994, LINEAR MATRIX INEQUA, DOI https://doi.org/10.1109/jproc.1998.735454

[9]

CHAMPAIGN IL, 1999, E WEISSTEINS WORLD M

[10]

FAM AT, 1989, 1989 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-3, P1780, DOI 10.1109/ISCAS.1989.100711

← 1 2 3 4 →