This paper 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 (FBSDEs). For the infinite-horizon case, on one hand, the necessary and sufficient condition is given for the stabilization in the mean-square sense of the system without the additive noise. On the other hand, it is shown that the system with the additive noise is bounded in the mean-square sense if and only if there exist the solutions to the two coupled algebraic Riccati equations. Numerical examples on the unmanned underwater vehicle are presented to show the effectiveness of the given algorithm.Index Terms-Optimal control, stabilization, networked control systems, asymmetric information.
I. INTRODUCTIONOver the course of last few decades, advances in wireless communication have greatly boosted the development of networked control systems (NCSs). NCSs, containing the system, sensors, controllers and actuators where the operation is coordinated through a wireless communication, have attracted research interest due to its broad applications in electronic system, industrial manufacture and mobile communication [1], [2]. Comparing with the classical feedback control systems with wired point-to-point link, NCSs have been shown to be more cost-effective, provide higher flexibility and reduce the maintenance cost [3], [4].Recently, optimal control with asymmetric information (OCAI) has received increasing attention due to the urgent demand in applications, such as deep-sea research, co-ordination of supply and demand, unmanned aerial vehicles and automated highway systems [5]- [7]. The so-called OCAI means that the system contains two or several controllers and the feedback information for different controllers are different.