Title :
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
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.833329
