Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback

Author

Wong, Wing Shing ; Brockett, Roger W.

Author_Institution

Dept. of Inf. Eng., Chinese Univ. of Hong Kong, Shatin, Hong Kong

Volume

44

Issue

5

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

1049

Lastpage

1053

Abstract

For part I, see ibid., vol.42, p.1294-8, 1997. In this paper a new class of feedback control problems is introduced. Unlike classical models, the systems considered here have communication channel constraints. As a result, the issue of coding and communication protocol becomes an integral part of the analysis. Since these systems cannot be asymptotically stabilized if the underlying dynamics are unstable, a weaker stability concept called containability is introduced. A key result connects containability with an inequality equation involving the communication data rate and the rate of change of the state

Keywords

feedback; information theory; memoryless systems; stability; coding; communication data rate; communication protocol; containability; feedback control problems; finite communication bandwidth constraints; limited information feedback; Adaptive control; Asymptotic stability; Bandwidth; Channel capacity; Communication channels; Communication system control; Control systems; Delay; Feedback control; Protocols;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.763226

Filename

763226