Title :
A Counterexample in Distributed Optimal Sensing and Control
Author :
Yüksel, Serdar ; Tatikonda, Sekhar
Author_Institution :
Dept. of Math. & Stat., Queen´´s Univ., Kingston, ON
fDate :
4/1/2009 12:00:00 AM
Abstract :
This note exhibits that in a distributed multi-sensor, single-controller scenario, for the minimization of a quadratic cost function, linear sensing policies over Gaussian channels are, in general, not optimal. This is in contrast with the corresponding single-sensor problem, which does admit an optimal linear solution.
Keywords :
Gaussian channels; distributed control; distributed sensors; linear systems; minimisation; optimal control; sensor fusion; Gaussian channel; Gaussian random variable; distributed optimal sensing control; linear sensing policy; multisensor scenario; quadratic cost function minimization; single-sensor problem; Communication channels; Communication system control; Control systems; Cost function; Distributed control; Gaussian channels; Gaussian noise; Optimal control; Random variables; Sensor systems; Control over communications channels; decentralized control; linear time invariant (LTI);
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.2009680
