Transforming a nonlinear system to an extended Brunovsky canonical form without feedback

Author

Zhang, Duan ; Lu, Jiangang ; Gao, Yuan ; Sun, Youxian

Author_Institution

National Lab. of Ind. Control Technol., Zhejiang Univ., Hangzhou, China

fYear

2005

fDate

8-10 June 2005

Firstpage

720

Abstract

Using the differential geometric control theory, we present the necessary and sufficient conditions under which an analytic affine nonlinear system with multiple inputs is equivalent to, via state transformation without feedback, a kind of extended Brunovsky canonical form. The proof is based on a new technique for applying the Frobenius Theorem in a more convenient way by converting a set of quasilinear partial differential equations with the same main portion to a set of homogeneous linear partial differential equations.

Keywords

control system synthesis; linear differential equations; nonlinear control systems; partial differential equations; state feedback; Brunovsky canonical form; Frobenius theorem; control theory; differential geometry; homogeneous linear partial differential equations; nonlinear system; quasilinear partial differential equations; state feedback; state transformation; Control systems; Control theory; Industrial control; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Partial differential equations; State feedback; Sufficient conditions; Sun;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2005. Proceedings of the 2005

ISSN

0743-1619

Print_ISBN

0-7803-9098-9

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2005.1470043

Filename

1470043