SYMMETRY AND THE IMPLEMENTATION OF FEEDBACK LINEARIZATION

被引：8

作者：

GARDNER, RB

SHADWICK, WF

机构：

[1] UNIV N CAROLINA,DEPT MATH,CHAPEL HILL,NC 27514

[2] UNIV WATERLOO,DEPT PURE MATH,WATERLOO N2L 3G1,ONTARIO,CANADA

来源：

SYSTEMS & CONTROL LETTERS | 1990年 / 15卷 / 01期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

Exact feedback linearization; Lie pseudogroups of symmetries; normal forms;

D O I：

10.1016/0167-6911(90)90040-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We show that, by making use of the symmetry group of the system, one may find the linearizing feedback for any controllable linearizable system with p controls by solving independent completely integrable Pfaffian systems whose dimensions are the multiplicities of the Kronecker indices, and carrying out purely algebraic calculations. In particular, if the Kronecker indices are distinct, this means solving p independent one dimensional completely integrable Pfaffian systems. © 1990.

引用

页码：25 / 33

页数：9

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[3]

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[4]

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GARDNER, RB ;

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[8] FEEDBACK EQUIVALENCE OF CONTROL-SYSTEMS [J].

GARDNER, RB ;

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[9] A GEOMETRIC ISOMORPHISM WITH APPLICATIONS TO CLOSED-LOOP CONTROLS [J].

GARDNER, RB ;

SHADWICK, WF ;

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[10]

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