n-bit stabilization of n-dimensional nonlinear systems in feedforward form

Author

De Persis, Claudio

Author_Institution

Dipt. di Informatica e Sistemistica, Univ. di Roma "La Sapienza", Rome, Italy

Volume

50

Issue

3

fYear

2005

fDate

3/1/2005 12:00:00 AM

Firstpage

299

Lastpage

311

Abstract

A methodology is presented which allows to design encoder, decoder and controller for stabilizing a nonlinear system in feedforward form using saturated encoded state feedback basically under standard assumption, namely local Lipschitz property of the vector field defining the system. n (respectively, n + 1) bits are used to encode the state information needed to the purpose of semiglobally (globally) stabilizing an n-dimensional system. Minimality of the data rate is discussed.

Keywords

feedforward; nonlinear control systems; stability; state feedback; Lipschitz property; feedforward form; n-bit stabilization; n-dimensional nonlinear systems; nonlinear system stabilization; saturated encoded state feedback; Communication channels; Communication system control; Control systems; Decoding; Intelligent actuators; Nonlinear control systems; Nonlinear systems; Quantization; Sampling methods; State feedback; Communication; Lebesgue sampling; decoders; encoders; nonlinear control systems; quantization; small inputs; smart actuators; smart sensors; stabilization;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.843847

Filename

1406125