PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS AND THE DISCRETE-TIME POPOV CRITERION FOR ROBUST ANALYSIS

被引：41

作者：

HADDAD, WM

BERNSTEIN, DS

机构：

[1] UNIV MICHIGAN, DEPT AEROSP ENGN, ANN ARBOR, MI 48109 USA

[2] GEORGIA INST TECHNOL, DEPT AEROSP ENGN, ATLANTA, GA 30332 USA

来源：

AUTOMATICA | 1994年 / 30卷 / 06期

基金：

美国国家航空航天局; 美国国家科学基金会;

关键词：

PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS; CONSTANT REAL PARAMETER UNCERTAINTY; ROBUST STABILITY AND PERFORMANCE;

D O I：

10.1016/0005-1098(94)90195-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Parameter-dependent Lyapunov functions are developed for discrete-time systems with constant real parameter uncertainty. This construction of a family of Lyapunov functions is then used to analyze robust stability with H-2 performance bounds for state space systems. A special case of these results generalizes the classical discrete-time Popov criterion.

引用

页码：1015 / 1021

页数：7

共 22 条

[1] ROBUST STABILITY AND PERFORMANCE ANALYSIS FOR STATE-SPACE SYSTEMS VIA QUADRATIC LYAPUNOV BOUNDS
BERNSTEIN, DS
HADDAD, WM
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1990, 11 (02) : 239 - 271
[2] ROBUST STABILITY FOR SAMPLED-DATA CONTROL-SYSTEMS
BERNSTEIN, DS
HOLLOT, CV
[J]. SYSTEMS & CONTROL LETTERS, 1989, 13 (03) : 217 - 226
[3] CAINES PW, 1989, LINEAR STOCHASTIC SY
[4] Haddad W. M., 1992, Proceedings of the 1992 American Control Conference (IEEE Cat. No.92CH3072-6), P594
[5] MIXED-NORM H2/H-INFINITY REGULATION AND ESTIMATION - THE DISCRETE-TIME CASE
HADDAD, WM
BERNSTEIN, DS
MUSTAFA, D
[J]. SYSTEMS & CONTROL LETTERS, 1991, 16 (04) : 235 - 247
[6] ROBUST STABILITY AND PERFORMANCE VIA FIXED-ORDER DYNAMIC COMPENSATION - THE DISCRETE-TIME CASE
HADDAD, WM
HUANG, HH
BERNSTEIN, DS
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (05) : 776 - 782
[7] ROBUST STABILIZATION WITH POSITIVE REAL UNCERTAINTY - BEYOND THE SMALL GAIN THEOREM
HADDAD, WM
BERNSTEIN, DS
[J]. SYSTEMS & CONTROL LETTERS, 1991, 17 (03) : 191 - 208
[8] EXPLICIT CONSTRUCTION OF QUADRATIC LYAPUNOV FUNCTIONS FOR THE SMALL GAIN, POSITIVITY, CIRCLE, AND POPOV THEOREMS AND THEIR APPLICATION TO ROBUST STABILITY .1. CONTINUOUS-TIME THEORY
HADDAD, WM
BERNSTEIN, DS
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1993, 3 (04) : 313 - 339
[9] HADDAD WM, 1991, PROCEEDINGS OF THE 30TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, P2274, DOI 10.1109/CDC.1991.261555
[10] HADDAD WM, 1994, IN PRESS IEEE T AUTO, V39

← 1 2 3 →