随机事件驱动通信的网络化系统最优估计与状态反馈控制

Optimal Estimation and State Feedback Control of Networked Systems with Stochastic Event-driven Communication

针对随机事件驱动通信的网络化控制系统,研究其中的最优估计与状态反馈控制器的设计问题.首先,根据控制器与执行器/传感器的随机通信机制将系统建模为马尔可夫线性跳变系统;其次,利用时变卡尔曼滤波理论进行了系统状态估计,进而基于动态规划及马尔可夫跳变系统理论设计了满足二次型性能指标的最优控制器,实现了网络化系统的镇定控制;最后,通过仿真验证了所提出方法的正确性和有效性.

We investigate the optimal-estimation and state-feedback-controller design problems of networked control sys- tems using the stochastic event-driven communication protocol. Based on the random communication mechanism of the actuators/sensors and controller, we modeled the network-based system as a Markov jump system. Using this framework, we designed an optimal state estimator based on the time-varying Kalman filter theory. Then, based on Markov-jump-system and dynamic programming theories, we derived an optimal controller satisfying the quadratic cost function that guarantees the stability of networked systems eontaining partial observations. Finally, we provide a numerical example to demonstrate the feasibility and effectiveness of the proposed method.