The finite-time dynamic event-triggered fuzzy output feedback fault-tolerant control problem is studied in this article for the interval type-2 (IT2) Takagi–Sugeno fuzzy system with parameter uncertainties and actuator faults. A fuzzy state observer is first developed to solve the immeasurable state problem. Second, by using the sampled estimating states and measured output signals, a dynamic event-triggered mechanism is formulated via integrating sensor-to-observer with observer-to-controller. Third, an observer-based finite-time event-triggered fuzzy fault-tolerant controller is synthesized via the nonparallel distribution compensation design principle. Consequently, the finite-time stable conditions of the addressed IT2 fuzzy system are established by constructing an appropriate Lyapunov function. Furthermore, an output feedback control design algorithm of solving control and observer gains is given in terms of the established sufficient finite-time stable conditions. Finally, a practical example of a nonlinear tunnel diode circuit system is provided to verify the effectiveness of the proposed IT2 fuzzy control scheme.

中文翻译：

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区间2型模糊系统的有限时间动态事件触发模糊输出容错控制

本文研究了具有参数不确定性和执行器故障的区间2型（IT2）Takagi-Sugeno模糊系统的有限时间动态事件触发模糊输出反馈容错控制问题。首先开发了一个模糊状态观察器来解决不可测状态问题。其次，通过使用采样的估计状态和测量的输出信号，通过将传感器到观察器与观察器到控制器集成来制定动态事件触发机制。第三，通过非平行分布补偿设计原理，合成了一种基于观测器的有限时间事件触发模糊容错控制器。因此，通过构造适当的 Lyapunov 函数来建立所解决的 IT2 模糊系统的有限时间稳定条件。此外，根据已建立的充分有限时间稳定条件，给出了求解控制和观测器增益的输出反馈控制设计算法。最后，提供了一个非线性隧道二极管电路系统的实际例子，以验证所提出的 IT2 模糊控制方案的有效性。