EXTENDED QUADRATIC CONTROLLER NORMAL-FORM AND DYNAMIC STATE FEEDBACK LINEARIZATION OF NONLINEAR-SYSTEMS

被引：115

作者：

KANG, W

KRENER, AJ

机构：

[1] Univ of California, Davis, CA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1992年 / 30卷 / 06期

关键词：

NONLINEAR SYSTEMS; QUADRATIC NORMAL FORMS; INVARIANTS; DYNAMIC STATE FEEDBACKS;

D O I：

10.1137/0330070

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, a set of extended quadratic controller normal forms of linearly controllable nonlinear systems is given, which is the generalization of the Brunovsky form of linear systems. A set of invariants under the quadratic changes of coordinates and feedbacks is found. It is then proved that any linearly controllable nonlinear system is linearizable to second degree by a dynamic state feedback.

引用

页码：1319 / 1337

页数：19

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