带有随机时延和丢包的网络控制系统最优控制策略研究

A Study of Optimal Control Strategy for Networked Control Systems with Stochastic Delay and Packet Losses

通过对网络控制系统的结构分析,建立了带有时延和丢包的线性网络控制系统的数学模型.在此模型基础上,对二次型性能指标下的网络控制系统的随机最优控制问题进行了分析,获得了相应的最优增益和最优性能指标的表达形式.最后,通过仿真比较了不同丢包率下的网络控制系统的随机最优控制效果.Matlab仿真结果表明了随机最优控制算法的有效性和丢包率临界值的范围.

Via the analysis of the structure of networked control systems , it presents the linear mathematic model with stochastic delay and packet losses .Based on the model , the stochastic control problem with quadratic criteria of the networked control systems was analyzed .The expressions of optimal gain and op-timal performance index were given .Ultimately, the stochastic control effect of networked control systems with delay and different probability of packet losses rate were compared by simulation .The simulation re-sults of Matlab show the effectiveness of the stochastic control algorithm and the range of the critical value of the packet loss rate .