Optimal Control and Stabilization for Networked Control Systems With Asymmetric Information
Xiao Liang, Juanjuan Xu, Huanshui Zhang
Abstract
This article considers the optimal control and stabilization problems for networked control systems (NCSs) with asymmetric information. In this NCSs model, the remote controller can receive packet-dropout states of the plant, and the available information for the embedded controller are observations of states and packet-dropout states sent from the remote controller. The two controllers operate the plant simultaneously to make the quadratic performance minimized and stabilize the linear plant. For the finite-horizon case, since states of the plant cannot be obtained perfectly, we develop the optimal estimators for the embedded and remote controllers based on asymmetric information, respectively. Then we give the necessary and sufficient condition for the optimal control based on the solution to the forward-backward stochastic difference equations. For the infinite-horizon case, it is shown that the system is bounded in the mean-square sense if and only if there exist the solutions to the two coupled algebraic Riccati equations and the packet-dropout probability satisfies certain condition. Numerical examples on the unmanned underwater vehicle are presented to show the effectiveness of the given algorithm.