SUFFICIENT CONDITIONS FOR DYNAMIC STATE FEEDBACK LINEARIZATION

被引：115

作者：

CHARLET, B ^{[1
]}

LEVINE, J ^{[1
]}

MARINO, R ^{[1
]}

机构：

[1] UNIV ROMA TOR VERGATA,DIPARTIMENTO INGN ELETTRON,I-00173 ROME,ITALY

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1991年 / 29卷 / 01期

关键词：

NONLINEAR SYSTEMS; FEEDBACK LINEARIZATION; DYNAMIC COMPENSATOR;

D O I：

10.1137/0329002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Sufficient conditions are given for the existence of a dynamic state feedback compensator for a multi-input nonlinear system such that the closed loop system is transformable into a linear controllable one by an extended state space change of coordinates. An example shows that the conditions are not necessary. Necessary conditions are also given which are shown to be sufficient when the number of states minus the number of controls is equal to one. Several examples illustrate how the sufficient conditions obtained lead to the design of the dynamic compensator.

引用

页码：38 / 57

页数：20

共 25 条

[1] CHARLET B, 1989, JUN P IFAC S NONL CO
[2] DYNAMIC DECOUPLING FOR RIGHT-INVERTIBLE NONLINEAR-SYSTEMS
DESCUSSE, J
MOOG, CH
[J]. SYSTEMS & CONTROL LETTERS, 1987, 8 (04) : 345 - 349
[3] DECOUPLING WITH DYNAMIC COMPENSATION FOR STRONG INVERTIBLE AFFINE NON-LINEAR SYSTEMS
DESCUSSE, J
MOOG, CH
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1985, 42 (06) : 1387 - 1398
[4] THE MATCHING OF NONLINEAR MODELS VIA DYNAMIC STATE FEEDBACK
DIBENEDETTO, MD
ISIDORI, A
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (05) : 1063 - 1075
[5] RANK INVARIANTS OF NONLINEAR-SYSTEMS
DIBENEDETTO, MD
GRIZZLE, JW
MOOG, CH
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1989, 27 (03) : 658 - 672
[6] FLIESS M, 1989, CR ACAD SCI I-MATH, V308, P377
[7] Fliess M., 1989, FORUM MATH, V1, P227
[8] Hunt L., 1983, DIFFERENTIAL GEOMETR, P268
[9] Isidori A, 1989, COMMUNICATIONS CONTR, V2nd
[10] Isidori A., 1986, ALGEBRAIC GEOMETRIC, P121

← 1 2 3 →