具有随机丢包的线性网络控制系统控制器设计

Controller Design for Networked Control Systems with Random Packet Losses

研究一类双向通道里同时存在随机数据包丢失的线性网络控制系统的控制器设计问题,随机数据包丢失同时存在于传感器-控制器和控制器-执行器网络通道里,随机数据包丢失采用满足Bernoulli分布的二进制切换序列来描述。在发生随机数据包丢失时,可采用闭环系统均方指数稳定的动态输出反馈控制器存在的充分性判据,并给出了基于线性矩阵不等式(LMI)的控制器求解方法,并通过一个仿真算例验证了控制器的正确性。

This paper investigated the control problem of networked linear systems with random packet losses in the bidirectional communication channels.The random packet loss was modeled as a Bernoulli distribution white sequence with a known conditional probability distribution.In the presence of random packet losses,sufficient conditions for the existence of an observer-based feedback controller were derived,such that the closed-loop networked linear system is exponentially stable in the sense of mean square.With the help of the LMI solvers,the observerbased controller can be easily obtained.Finally,a numerical example demonstrates the effectiveness of the proposed method.