Nonlinear Decoupling and Structure at Infinity

被引：37

作者：

Moog, Claude H. ^{[1
]}

机构：

[1] ENSM, CNRS, Lab Automat Nantes, F-44072 Nantes 03, France

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 1988年 / 1卷 / 03期

关键词：

Nonlinear systems; Inversion; Decoupling; Structure at infinity; Feedback;

D O I：

10.1007/BF02551287

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we characterize the solvability of nonlinear decoupling problems (static or dynamic) through the notion of structure at infinity. This structure is specified by a list of easily computed integers, which are related to the differential output rank. Our notion of structure at infinity generalizes concepts previously introduced for restricted classes of systems such as those linearizable under feedback.

引用

页码：257 / 268

页数：12

共 26 条

[1] STRUCTURE AT INFINITY OF LINEAR-MULTIVARIABLE SYSTEMS - A GEOMETRIC APPROACH [J].

COMMAULT, C ;

DION, JM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (03) :693-696

[2] NEW DECOUPLING INVARIANTS - THE ESSENTIAL ORDERS [J].

COMMAULT, C ;

DESCUSSE, J ;

DION, JM ;

LAFAY, JF ;

MALABRE, M .

INTERNATIONAL JOURNAL OF CONTROL, 1986, 44 (03) :689-700

[3]

Conte G., 1987, THEOREME REPRESENTAT

[4] ON THE STRUCTURE AT INFINITY OF LINEAR SQUARE DECOUPLED SYSTEMS [J].

DESCUSSE, J ;

DION, JM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (04) :971-974

[5] DYNAMIC DECOUPLING FOR RIGHT-INVERTIBLE NONLINEAR-SYSTEMS [J].

DESCUSSE, J ;

MOOG, CH .

SYSTEMS & CONTROL LETTERS, 1987, 8 (04) :345-349

[6] DECOUPLING WITH DYNAMIC COMPENSATION FOR STRONG INVERTIBLE AFFINE NON-LINEAR SYSTEMS [J].

DESCUSSE, J ;

MOOG, CH .

INTERNATIONAL JOURNAL OF CONTROL, 1985, 42 (06) :1387-1398

[7] ON THE EQUIVALENCE OF THE INVARIANT SUBDISTRIBUTION ALGORITHM AND THE STRUCTURE ALGORITHM [J].

DIBENEDETTO, MD .

SYSTEMS & CONTROL LETTERS, 1986, 8 (02) :137-145

[8] A NEW APPROACH TO THE STRUCTURE AT INFINITY OF NONLINEAR-SYSTEMS [J].

FLIESS, M .

SYSTEMS & CONTROL LETTERS, 1986, 7 (05) :419-421

[9] A NOTE ON THE INVERTIBILITY OF NONLINEAR INPUT-OUTPUT DIFFERENTIAL-SYSTEMS [J].

FLIESS, M .

SYSTEMS & CONTROL LETTERS, 1986, 8 (02) :147-151

[10]

Fliess M., 1985, Proceedings of the Twenty-third Annual Allerton Conference on Communication, Control, and Computing, P123

← 1 2 3 →