State feedback stabilization of discrete-time nonlinear systems

Author

Boutayeb, M. ; Bouazza, Kheir Eddine ; Darouach, Mohamed

Author_Institution

CNRS, Univ. Louis Pasteur of Strasbourg, France

Volume

3

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

3097

Abstract

In this note, we investigate the problem of state feedback stabilization of affine nonlinear discrete-time systems. From a prescribed Lyapunov function and a modified Riccati equation, we show that the proposed state feedback law covers a large class of dynamical systems. In particular when the unforced dynamic model is not Lyapunov stable. Sufficient conditions for asymptotic stabilization are expressed in terms of matrix inequalities. High performances of the proposed technique will be shown through academic examples.

Keywords

Lyapunov methods; Riccati equations; discrete time systems; matrix algebra; nonlinear control systems; stability; state feedback; Lyapunov function; affine nonlinear discrete-time systems; asymptotic stabilization conditions; matrix inequalities; modified Riccati equation; state feedback stabilization; unforced dynamic model; Control systems; Digital systems; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Riccati equations; State feedback; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184342

Filename

1184342