Infinite time stochastic optimal control of networked control systems with long delay
无限时间长时延网络控制系统的随机最优控制

The stochastic optimal control problem was considered in case of linear networked control systems and quadratic criteria.The mathematic model of linear networked control systems with long delay is set up when the controller is event driven.It is proved that the solution of infinite horizon discrete time stochastic algebraic Riccati equation is existent.The infinite horizon stochastic optimal controller of linear networked control systems is designed.The expression of optimal performance index of networked control systems is given.The paper proves that the infinite horizon stochastic optimal controller of networked control systems can render the networked control systems exponentially mean square stable.Finally,the simulation based on the networked controlled inverted pendulum is studied.The simulation results show the proposed methods are feasible and effecive.