This article addresses the aperiodic sampled-data control problem for flexible spacecraft with stochastic actuator failures. Flexible spacecraft dynamics are approximated by a group of T_S fuzzy models due to strong nonlinearity, and the multi-stochastic failures of spacecraft are depicted by a time-continuous and state-discrete Markov chain. To reduce the design conservativeness, a membership-sampling-dependent Lyapunov_Krasovskii functional (MSDLKF) is introduced to utilize the information of fuzzy membership functions and aperiodic sampling modes. Furthermore, a number of reliable fuzzy controllers are designed to obtain the exponential attitude stabilization under the circumstances of stochastic failures. At the same time, disturbance attenuation is ensured. The solution of the fuzzy controller gains can be obtained by solving a set of linear matrix inequalities (LMIs). In the end, an example of the practical flexible spacecraft system is given to illustrate the feasibility and validity of the proposed fuzzy control methods.

中文翻译：

---

具有非周期性采样和随机执行器故障的柔性航天器系统的可靠控制


本文解决了具有随机致动器故障的柔性航天器的非周期性采样数据控制问题。由于强非线性，柔性航天器动力学由一组T_S模糊模型来近似，航天器的多随机故障由时间连续、状态离散的马尔可夫链来描述。为了降低设计保守性，引入隶属采样相关的Lyapunov_Krasovskii泛函（MSDLKF）来利用模糊隶属函数和非周期采样模式的信息。此外，设计了一些可靠的模糊控制器，以在随机故障的情况下获得指数姿态稳定。同时保证干扰衰减。模糊控制器增益的解可以通过求解一组线性矩阵不等式（LMI）来获得。最后，给出了实际柔性航天器系统的实例，说明了所提出的模糊控制方法的可行性和有效性。