This work addresses the problem of extended-dissipative finite-time reliable control of switched stochastic model with non-deterministic actuator faults, time-delay, sampled-data scheme, saturation nonlinearity and stochastic uncertainties, where the actuator faults obey certain probabilistic distribution. The important of this article is to develop a stochastic fault-tolerant sampled-data controller under actuator saturation nonlinearity such that the considered stochastic switched model is stochastically stable and obeys a dissipative pursuance ratio in the finite-time interval. A novel finite-time criteria are proposed to guaranteeing the stochastically stable in finite time for switched stochastic system based on the finite-time stability theory and suitable Lyapunov–Krasovskii functional (LKF) along with convex integral inequality method. Then, the derived criteria are presented in terms of linear matrix inequalities (LMIs) and it can be solved efficiently by standard Matlab software. Finally, numerical simulations are given to illustrate the efficiency of the proposed method.

这项工作解决了具有不确定性执行器故障，时滞，采样数据方案，饱和非线性和随机不确定性的切换随机模型的耗散有限时间可靠控制问题，其中执行器故障服从一定的概率分布。本文的重点是开发一种在执行器饱和非线性下的随机容错采样数据控制器，以使所考虑的随机切换模型是随机稳定的，并且在有限的时间间隔内服从耗散追求率。提出了一种新的有限时间准则，基于有限时间稳定性理论和合适的Lyapunov-Krasovskii泛函（LKF）以及凸积分不等式方法，为切换随机系统保证了有限时间的随机稳定性。然后，根据线性矩阵不等式（LMI）提出了导出的标准，并且可以通过标准Matlab软件对其进行有效求解。最后，数值仿真表明了该方法的有效性。