On p-normal forms of nonlinear systems

被引：86
|
作者：
Cheng, DZ [1 ]
Lin, W
机构：
[1] Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
[2] Case Western Reserve Univ, Dept Elect Engn & Comp Sci, Cleveland, OH 44106 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2003年 / 48卷 / 07期
关键词：
differential geometric approach; feedback equivalence; local diffeamorphism; nonlinear systems; p-normal form; state feedback;
D O I：
10.1109/TAC.2003.814270
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Using the differential-geometric control theory, we present in this note a necessary and sufficient condition under which an affine system is locally feedback equivalent to, via a change of coordinates and restricted smooth state feedback, a generalized normal form called p-normal form, which includes Brunovsky canonical form and feedback linearizable systems in a lower-triangular form as its special cases. We also give an algorithm for computing the appropriate coordinate transformations and feedback control laws.
引用
收藏
页码：1242 / 1248
页数：7
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