Stabilization of nonlinear systems with limited information feedback

Author

Liberzon, Daniel ; Hespanha, João P.

Author_Institution

Coordinated Sci. Lab., Univ. of Illinois, Urbana, IL, USA

Volume

50

Issue

6

fYear

2005

fDate

6/1/2005 12:00:00 AM

Firstpage

910

Lastpage

915

Abstract

This note is concerned with the problem of stabilizing a nonlinear continuous-time system by using sampled encoded measurements of the state. We demonstrate that global asymptotic stabilization is possible if a suitable relationship holds between the number of values taken by the encoder, the sampling period, and a system parameter, provided that a feedback law achieving input-to-state stability with respect to measurement errors can be found. The issue of relaxing the latter condition is also discussed.

Keywords

asymptotic stability; continuous time systems; feedback; nonlinear systems; global asymptotic stabilization; input-to-state stability; limited information feedback; nonlinear continuous-time system stabilization; sampled encoded measurements; Communication system security; Control systems; Feedback; Measurement errors; Nonlinear control systems; Nonlinear systems; Sampling methods; Stability; State estimation; Wireless sensor networks; Asymptotic stability; encoding; input-to-state stability; limited information; measurement errors; nonlinear system;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.849258

Filename

1440583