Abstract: The problem of stochastic fault-tolerant control and controller design for networked systems with mean square Bounded Input Bounded Output（BIBO） stability are investigated. Considering the random phenomenon of sensor failure and actuator failure, the random sensor failure and actuator failure are modeled as independent Bernoulli random variable sequence. Combined with linear matrix inequality technology and Lyapunov stability theory, by decomposing the feedback gain matrix, the mean square BIBO stability conditions under the system existence of sensor failure and actuator failure are obtained respectively. Based on the stability conditions, random fault-tolerant controller design of the system is given. Finally, the simulation example is given to demonstrate the effectiveness of design method.

Key words: networked systems, stochastic fault-tolerant control, Bernoulli random variable sequence, mean square BIBO stability, controller design method

摘要： 研究了具有均方BIBO稳定的网络化控制系统的随机容错控制及控制器设计问题。针对网络化控制系统的传感器失效故障和执行器失效故障均具有随机性这一现象，将传感器和执行器的故障建模为相互独立的Bernoulli随机变量序列；利用Lyapunov稳定性理论，结合线性矩阵不等式技术，通过对反馈增益矩阵的分解，得到了网络控制系统存在传感器失效故障和执行器失效故障情况下的均方BIBO稳定条件；基于该稳定条件给出了系统随机容错控制器的设计。以数值实例验证了该方法的有效性。

关键词: 网络化系统, 随机容错控制, Bernoulli随机变量序列, 均方BIBO稳定, 控制器设计