An asymptotic optimal design for a decentralized system with noisy communication

Author

Shoarinejad, Kambiz ; Speyer, Jason L. ; Kanellakopoulos, Ioannis

Author_Institution

Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA

Volume

5

fYear

1999

fDate

1999

Firstpage

4941

Abstract

A reformulation of the Witsenhausen counter-example is considered, where the first station is allowed to transmit its information to the second station through a low noise channel. This is in fact a decentralized stochastic system where the communication uncertainty induces a non-classical information pattern. Assuming a small transmission noise intensity, an asymptotic approach is used in order to find an approximated cost. Then, the necessary conditions for asymptotically optimal strategies are obtained using a variational approach. It is shown that the necessary conditions are satisfied by linear strategies with slightly different coefficients than the noiseless transmission case

Keywords

data communication; multivariable systems; optimal control; optimisation; stochastic systems; telecommunication channels; variational techniques; decentralized system; low noise channel; necessary conditions; noisy communication; optimal control; optimisation; stochastic system; variational technique; Aerodynamics; Aerospace engineering; Application software; Control systems; Costs; Mobile robots; Remotely operated vehicles; Stochastic systems; Uncertainty; Vehicle dynamics;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.833329

Filename

833329