Design of discrete-time nonlinear control systems via smooth feedback

Author

Lin, Wei ; Byrnes, Christopher I.

Author_Institution

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

Volume

39

Issue

11

fYear

1994

fDate

11/1/1994 12:00:00 AM

Firstpage

2340

Lastpage

2346

Abstract

Using the center manifold theory for maps in a systematic way, the authors present in this note a necessary condition and sufficient conditions for discrete-time nonlinear systems to be stabilizable via smooth state feedback. Then, the authors derive a necessary and sufficient condition characterizing the existence of exponential observers for Lyapunov stable discrete-time nonlinear systems. This, in turn, leads to a separation principle for the asymptotic stabilization problem. As an application, the output regulation problem is solved via error feedback

Keywords

control system synthesis; discrete time systems; feedback; nonlinear control systems; stability; Lyapunov stable systems; asymptotic stabilization; center manifold theory; discrete-time nonlinear control systems; error feedback; exponential observers; maps; necessary condition; output regulation; separation principle; smooth state feedback; sufficient conditions; Control systems; Design methodology; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Output feedback; Regulators; State feedback; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.333790

Filename

333790