On weak relative degree and the McGehee transformation

Author

Fuchs, Andreas ; Varghese, Matthew ; Mukundan, Rangaswamy

Author_Institution

Dept. of Electr. & Comput. Eng., Clarkson Univ., Potsdam, NY, USA

fYear

1991

fDate

11-13 Dec 1991

Firstpage

2811

Abstract

The authors analyze closed-loop systems that represent the internal dynamics of a nonlinear system, after the linearizing control u* has been applied. In keeping with the nomenclature of input-output linearization, they define internal dynamics to include the transient behavior of the system enroute to the zero dynamics submanifold. When the relative degree is weak, a certain class of internal dynamics has a singularity which is the preimage of an equilibrium point located at infinity. The McGehee transformation moves this point to a saddle equilibrium point at the origin

Keywords

closed loop systems; control system analysis; feedback; linearisation techniques; nonlinear control systems; McGehee transformation; closed-loop systems; control system analysis; input-output linearization; internal dynamics; linearizing control; nonlinear system; saddle equilibrium point; transient behavior; weak relative degree; zero dynamics submanifold; Closed loop systems; Control systems; H infinity control; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Orbits; Output feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261869

Filename

261869