In this article, the problem of asynchronous adaptive dynamic output feedback sliding mode control (SMC) for a class of Takagi‐Sugeno (T‐S) fuzzy Markovian jump systems (MJSs) with actuator faults is investigated. The asynchronous dynamic output feedback control strategy is employed, as the nonsynchronization phenomenon of jump modes exists between the plant and the controller. A novel asynchronous adaptive SMC approach is proposed to solve the synthesis problem for T‐S fuzzy MJSs with actuator faults. Sufficient conditions for stochastic asymptotic stability of T‐S fuzzy MJSs are given. Under the designed asynchronous adaptive SMC scheme, the effects of actuator faults and external disturbance can be completely compensated and the reachability of sliding surface is ensured. Finally, an example is provided to demonstrate the effectiveness of the proposed design techniques.

中文翻译：

---

具有执行器故障的Takagi-Sugeno模糊Markovian跳跃系统的异步自适应输出反馈滑模控制

本文研究了一类带有执行器故障的Takagi-Sugeno（TS）模糊Markovian跳跃系统（MJSs）的异步自适应动态输出反馈滑模控制（SMC）问题。由于设备和控制器之间存在跳跃模式的非同步现象，因此采用了异步动态输出反馈控制策略。提出了一种新颖的异步自适应SMC方法来解决带有执行器故障的TS模糊MJS的综合问题。给出了TS模糊MJS的随机渐近稳定性的充分条件。在设计的异步自适应SMC方案下，可以完全补偿执行器故障和外部干扰的影响，并确保滑动面的可达性。最后，