On discrete-time nonlinear control

Author

Byrnes, Christopher I. ; Lin, Wei

Author_Institution

Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA

fYear

1993

fDate

15-17 Dec 1993

Firstpage

2990

Abstract

The authors first derive a necessary condition and some sufficient conditions for a class of discrete-time nonlinear systems to be asymptotically stabilizable via smooth state feedback. Then, the authors investigate a necessary and sufficient condition characterizing the existence of exponential observers for Lyapunov stable discrete-time autonomous systems. This condition, together with the previous stabilization results, leads to a separation principle for asymptotic stabilization in discrete-time. As an application, the authors solve the error feedback regulator problem

Keywords

Lyapunov methods; discrete time systems; feedback; nonlinear control systems; stability; state estimation; Lyapunov stable discrete-time autonomous systems; asymptotic stability; discrete-time nonlinear control; error feedback regulator problem; exponential observers; necessary condition; separation principle; smooth state feedback; sufficient conditions; Control systems; Design methodology; Force control; Lyapunov method; Nonlinear dynamical systems; Nonlinear systems; Regulators; Stability; State feedback; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325748

Filename

325748