关键词: 概率分布依赖, 时滞拆分, 网络化系统, 随机容错设计

Abstract: Considering the random phenomenon of sensor failure, actuator failure and networked time-delay, the independent Bernoulli random sequences as switching matrices of sensor failure, actuator failure are introduced. The time-delay’s variation interval is divided into two subintervals, introducing the Bernoulli random variation and transforming the probability distribution into parameter matrices. The random networked control system modeled is constructed. The problem of random fault-tolerant control with the existence of sensor failure and actuator failure for the system is investigated. Based on Lyapunov stability theory, combined with linear matrix inequality technology, the conditions for this system to be exponential stable in mean square sense are derived. These conditions depend on time delays probability distribution as well, not just depend on time-delay’s maximum and minimum bounds. At the end, a numerical example is given to illustrate the validity of the main results.

Key words: depend on probability distribution, time-delay dividing, networked systems, random fault-tolerant design