Solvability Conditions for Riccati Equations of Optimal Control with Random Packet Losses
Xu Hong · Acta Automatica Sinica · 2007
Optimal control design with random packet losses is presented in this paper.In a large multihop sensor network,the controllers and the plants usually communicate via unreliable wireless channels,and the algebraic Riccati equation is modified because of the random packet losses.We show that the optimal control policy does not exist when the packet dropping rate is greater than a critical value.This critical value is obtained by solving linear matrix inequality.