A canonical form for a class of noncontrollable nonlinear systems

Author

Da Silva, P.

Volume

1

fYear

1996

fDate

11-13 Dec 1996

Firstpage

64

Abstract

We address the problem of giving a new canonical form for a class of (time varying) nonlinear noncontrollable systems. We define and solve the partial linearization problem (PLP) by static state feedback. Our notion of linearization is weaker than the one found in the literature, since we want to transform the given system to a controllable linear system that is affected by a (perhaps nonlinear) autonomous system, which plays the role of its noncontrollable part. For the class of nonlinear systems for which the PLP is solvable, we show that the influence of the noncontrollable part in the linear part can be always removed by a convenient static state feedback. In particular, a new canonical form for this class of noncontrollable nonlinear systems is obtained

Keywords

linear systems; linearisation techniques; nonlinear systems; state feedback; time-varying systems; autonomous system; canonical form; controllable linear system; partial linearization problem; static state feedback; time varying nonlinear noncontrollable systems; Control systems; Kalman filters; Linear feedback control systems; Linear systems; Nonlinear control systems; Nonlinear systems; State feedback; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.574255

Filename

574255