带有随机丢包的最优控制中Riccati方程解存在的条件

Solvability Conditions for Riccati Equations of Optimal Control with Random Packet Losses

讨论了带有随机丢包的最优控制．在传感器网络中,控制器与被控对象通过不可靠无线网络通信,因此代数Riccati方程由于通信链路的随机丢包产生了新的参数．证明了当丢包率大于一临界值时,此Riccati方程的解不存在．通过解线性矩阵不等式,得到了这一临界值．

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.