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

C.  D. Charalambous; Alireza Farhadi

5th International ICST Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks

Research Article

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

Cite: BibTeX Plain Text

@INPROCEEDINGS{10.1109/WIOPT.2007.4480070,
    author={C.  D. Charalambous and Alireza Farhadi},
    title={Control of Feedback Systems Subject to the Finite Rate Constraints via the Shannon Lower Bound},
    proceedings={5th International ICST Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks},
    publisher={IEEE},
    proceedings_a={WIOPT},
    year={2008},
    month={3},
    keywords={AWGN  Additive white noise  Channel capacity  Communication system control  Control systems  Decoding  Feedback  Observability  Rate-distortion  Stochastic systems},
    doi={10.1109/WIOPT.2007.4480070}
}

C. D. Charalambous
Alireza Farhadi
Year: 2008
Control of Feedback Systems Subject to the Finite Rate Constraints via the Shannon Lower Bound
WIOPT
IEEE
DOI: 10.1109/WIOPT.2007.4480070

C. D. Charalambous¹^,*, Alireza Farhadi²^,*

1: Department of Electrical and Computer Engineering University of Cyprus Nicosia, CYPRUS
2: School of Information Technology and Engineering University of Ottawa Ottawa, Ontario, CANADA

*Contact email: chadcha@ucy.ac.cy, afarhadi@site.uottawa.ca

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 Additive white noise Channel capacity Communication system control Control systems Decoding Feedback Observability Rate-distortion Stochastic systems

Published: 2008-03-31
Publisher: IEEE
Modified: 2011-07-28

: http://dx.doi.org/10.1109/WIOPT.2007.4480070