Linearization by prolongations: New bounds on the number of integrators

被引：2

作者：

Franch, J

Fossas, E

机构：

来源：

PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2002年 / 1-6卷

关键词：

nonlinear control; multiinput systems; differential geometric methods; feedback linearization; mathematical systems theory;

D O I：

10.1109/ACC.2002.1024867

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 paper gives a bound on the number of integrators needed to linearize a control system with an arbitrary number of inputs. Although some work has been done in this direction in [14], our bound improves the existing results for systems with four or more inputs. The bound for two input systems is the same as the one that appeared in [14]. The bound for three input systems has been improved further in [8].

引用

页码：567 / 581

页数：15

共 13 条

[1]

[Anonymous], 1992, THESIS ECOLE NATL SU

[2] A LINEAR ALGEBRAIC FRAMEWORK FOR DYNAMIC FEEDBACK LINEARIZATION [J].

ARANDABRICAIRE, E ;

MOOG, CH ;

POMET, JB .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (01) :127-132

[3] ON DYNAMIC FEEDBACK LINEARIZATION [J].

CHARLET, B ;

LEVINE, J ;

MARINO, R .

SYSTEMS & CONTROL LETTERS, 1989, 13 (02) :143-151

[4] SUFFICIENT CONDITIONS FOR DYNAMIC STATE FEEDBACK LINEARIZATION [J].

CHARLET, B ;

LEVINE, J ;

MARINO, R .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1991, 29 (01) :38-57

[5] FLATNESS AND DEFECT OF NONLINEAR-SYSTEMS - INTRODUCTORY THEORY AND EXAMPLES [J].

FLIESS, M ;

LEVINE, J ;

MARTIN, P ;

ROUCHON, P .

INTERNATIONAL JOURNAL OF CONTROL, 1995, 61 (06) :1327-1361

[6]

FLIESS M, 1997, P 1J EUR CONTR C BRU

[7]

FLIESS M, 1996, LECT NOTES CONTROL I, V217, P245

[8]

FOSSAS E, 1999, P 14 IFAC WORLD C BE

[9]

FOSSAS E, 1998, P 1998 ACC PHIL

[10]

POMET JB, 1997, CONTROL OPTIMISATION, V2, P151

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