A 1ST-ORDER LYAPUNOV ROBUSTNESS METHOD FOR LINEAR-SYSTEMS WITH UNCERTAIN PARAMETERS

被引：14

作者：

LEAL, MA ^{[1
]}

GIBSON, JS ^{[1
]}

机构：

[1] UNIV CALIF LOS ANGELES,DEPT MECH AEROSP & NUCL ENGN,LOS ANGELES,CA 90024

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1990年 / 35卷 / 09期

关键词：

D O I：

10.1109/9.58540

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 note derives a method for stability-robustness analysis based on a quadratic Lyapunov function that varies linearly with uncertain parameters. The note deals with linear time-invariant systems with structured uncertainties. The Lyapunov function is optimized numerically to maximize the robustness region in parameter space. Numerical results are given for four examples in which the first-order method is compared to previous Lyapunov methods for robustness analysis. © 1990 IEEE

引用

页码：1068 / 1070

页数：3

共 14 条

[1]

BARMISH BR, 1986, PRINCETON C INFORM S

[2] ROBUST STABILITY AND PERFORMANCE ANALYSIS FOR LINEAR DYNAMIC-SYSTEMS [J].

BERNSTEIN, DS ;

HADDAD, WM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (07) :751-758

[3] THE CONSTRAINED LYAPUNOV PROBLEM AND ITS APPLICATION TO ROBUST OUTPUT-FEEDBACK STABILIZATION [J].

GALIMIDI, AR ;

BARMISH, BR .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (05) :410-419

[4]

HADDAD WM, 1988, IEEE T AUTOMAT CONTR, V33, P692

[5]

HORISBERGER HP, 1976, IEEE T AUTOMAT C OCT, P705

[6] THE MAJORANT LYAPUNOV EQUATION - A NONNEGATIVE MATRIX EQUATION FOR ROBUST STABILITY AND PERFORMANCE OF LARGE-SCALE SYSTEMS [J].

HYLAND, DC ;

BERNSTEIN, DS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (11) :1005-1013

[7] ROBUST-CONTROL WITH STRUCTURED PERTURBATIONS [J].

KEEL, LH ;

BHATTACHARYYA, SP ;

HOWZE, JW .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (01) :68-78

[8]

LEAL MA, 1988, THESIS U CALIFORNIA

[9]

PATEL RV, 1980, P JOINT AUTOMAT CONT

[10] A RICCATI EQUATION APPROACH TO THE STABILIZATION OF UNCERTAIN LINEAR-SYSTEMS [J].

PETERSEN, IR ;

HOLLOT, CV .

AUTOMATICA, 1986, 22 (04) :397-411

← 1 2 →