网络控制系统中通信信道受限对LQG最优控制性能影响

Effects of Limited Communication Channels on the Performance of LQG Optimal Control Innetworked Control Systems

针对一类通信信道受限的多输入多输出网络控制系统(NCSs),研究有限通信系统资源对LQG最优控制性能的影响.对于任一时刻只允许部分传感器和执行器访问网络情况,引入输入、输出通信序列矩阵,建立系统模型;并给出保证系统能控能观的通信序列选取原则;由此设计LQG最优控制算法,定义通信信道不受限和受限情况下目标代价函数的比值为控制性能指标,来评估控制作用的运行效果;通过仿真实验分析了不同信道受限程度对LQG最优控制性能的影响.

For multiple inputs and multiple outputs networked control systems （NCSs） with limited communication channels, the effects of system resource constraints on the performance of LQG optimal control is studied. For NCSs with limited channels which are only permitted some of sensors and actuators access networks at any one time, system model is built by introducing input and output communication sequences matrixes. Based on controllability and observability of systems, the selection principle of communication sequences is given. Thus LQG optimal control algorithm is designed and the ratio of cost functions with unlimited channels to limited channels is defined as control performance index to evaluate LQG control effect. Finally, simulation is made to analyze the effects of different degrees of limited communication channels on the LQG optimal control performance.