GLOBAL STABILITY OF SOLUTIONS OF NON-LINEAR CONTROL-SYSTEMS

被引：5

作者：

GARG, DP ^{[1
]}

SHANIDZE, ZG ^{[1
]}

RONDELI, EG ^{[1
]}

机构：

[1] GEORGIAN POLYTECH INST, FAC AUTOMAT & COMP TECHNOL, TBILISI, GEORGIA, USSR

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 1989年 / 20卷 / 10期

关键词：

Control system stability - Phase space methods - Functions;

D O I：

10.1080/00207728908910273

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 of solutions for non-linear control systems in the entire phase space is investigated. It is shown that for determining the global stability of motion, it is necessary to first obtain a single scalar equation from the specified system, and only then apply the Hurwitz conditions. In the derived scalar equations corresponding to the initial system, both non-linear functions and their derivatives will be present. Therefore, not only do the non-linear functions, but also their derivatives enter in the conditions for ensuring stability of the solutions in the entire phase space. Examples are given to illustrate the procedure. © 1989, Copyright Taylor & Francis Group, LLC.

引用

页码：1909 / 1924

页数：16

共 50 条

[1] ABSOLUTE STABILITY-CRITERION FOR NON-LINEAR CONTROL-SYSTEMS
BARKIN, AI
ZELENTSOVSKII, AL
AUTOMATION AND REMOTE CONTROL, 1981, 42 (07) : 853 - 857
[2] ON DECOMPOSITION OF NON-LINEAR CONTROL-SYSTEMS
RESPONDEK, W
SYSTEMS & CONTROL LETTERS, 1982, 1 (05) : 301 - 308
[3] INVERTIBILITY OF NON-LINEAR CONTROL-SYSTEMS
HIRSCHORN, RM
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1979, 17 (02) : 289 - 297
[4] GLOBAL STABILITY OF THE SOLUTIONS OF NONLINEAR CONTROL-SYSTEMS
GARG, DP
SHANIDZE, ZG
RONDELI, EG
PROCEEDINGS OF THE 1989 AMERICAN CONTROL CONFERENCE, VOLS 1-3, 1989, : 741 - 746
[5] CONTROLLABILITY DISTRIBUTIONS FOR NON-LINEAR CONTROL-SYSTEMS
NIJMEIJER, H
SYSTEMS & CONTROL LETTERS, 1982, 2 (02) : 122 - 129
[6] INVERTIBILITY OF MULTIVARIABLE NON-LINEAR CONTROL-SYSTEMS
HIRSCHORN, RM
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (06) : 855 - 865
[7] FILTRATION PROBLEM IN NON-LINEAR CONTROL-SYSTEMS
KHOMYAKOVA, LM
AUTOMATION AND REMOTE CONTROL, 1979, 40 (01) : 49 - 54
[8] FEEDBACK DECOMPOSITION OF NON-LINEAR CONTROL-SYSTEMS
NIJMEIJER, H
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (08) : 861 - 862
[9] STATE FEEDBACK FOR NON-LINEAR CONTROL-SYSTEMS
HAMMER, J
INTERNATIONAL JOURNAL OF CONTROL, 1989, 50 (05) : 1961 - 1980
[10] METHOD OF POWER-TRANSFORMATIONS FOR ANALYSIS OF STABILITY OF NON-LINEAR CONTROL-SYSTEMS
BARKIN, AI
ZELENTSOVSKY, AL
SYSTEMS & CONTROL LETTERS, 1983, 3 (05) : 303 - 310

← 1 2 3 4 5 →