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针对一类包含网络诱导时延、数据丢包及错序等非理想因素的离散时间网络化控制系统,研究系统在均方有界输入-有界输出(BIBO)稳定条件下,执行器或传感器发生失效故障时的随机容错控制问题.由于传感器与执行器失效与否都是随机的,鉴于此考虑引入相互独立的Bernoulli随机变量序列作为开关矩阵,改进了之前的0,1开关矩阵.为了降低保守性,通过对连接权矩阵进行分解,利用离散形式的牛顿-莱布尼兹公式,依据Lyapunov稳定性理论,结合线性矩阵不等式(LMIs)方法,分别给出传感器失效故障与执行器失效故障情况下的系统均方BIBO稳定条件,基于此条件求解出反馈控制增益矩阵,最后设计出随机容错控制器.
Aiming at a class of discrete-time networked control systems including non-ideal factors such as network induced delay, data packet loss and mis-sequence, the system is studied under the condition of mean square bounded input-bounded output (BIBO) stability. The actuator or sensor In the event of a failure, a random fault tolerant control problem is solved.Because sensors and actuators are random or not, we consider the introduction of independent Bernoulli random variables as switch matrix, and improve the previous switch matrix of 0 and 1. In order to reduce Conservative, by decomposing the connection matrix and using discrete Newton-Leibniz formula, according to the Lyapunov stability theory and the linear matrix inequality (LMIs) method, the sensor failures and actuator failures are given respectively Under the condition of the mean square BIBO stability, the feedback control gain matrix is solved based on this condition. Finally, a random fault tolerant controller is designed.