Control of Feedback Systems Subject to the Finite Rate Constraints via the Shannon Lower Bound

Author

Charalambous, C.D. ; Farhadi, Alireza

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Cyprus, Nicosia

fYear

2007

fDate

16-20 April 2007

Firstpage

1

Lastpage

7

Abstract

This paper is concerned with control of stochastic systems subject to limited feedback channel capacity. Specifically, the design of an encoder, decoder, and controller subject to the mean square observability and stabilizability is considered. It is shown that by transmitting information which is equal to the Shannon lower bound, mean square observability and stabilizability over Additive White Gaussian Noise (AWGN) channel is achieved. Furthermore, a modified definition for channel capacity and rate distortion is presented which is suitable for control applications and real time communication.

Keywords

AWGN channels; channel capacity; information theory; stochastic systems; AWGN channel; Shannon lower bound; additive white Gaussian noise channel; feedback channel capacity; feedback system control; finite rate constraints; mean square observability; mean square stabilizability; real time communication; stochastic systems; AWGN; Additive white noise; Channel capacity; Communication system control; Control systems; Decoding; Feedback; Observability; Rate-distortion; Stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks and Workshops, 2007. WiOpt 2007. 5th International Symposium on

Conference_Location

Limassol

Print_ISBN

978-1-4244-0960-0

Electronic_ISBN

978-1-4244-0961-7

Type

conf

DOI

10.1109/WIOPT.2007.4480070

Filename

4480070