IEEE Trans Cybern. 2022 Nov;52(11):11549-11560. doi: 10.1109/TCYB.2021.3079308. Epub 2022 Oct 17.
This article investigates the problem of quantized sampled-data control for continuous-time switched Takagi-Sugeno (T-S) fuzzy systems with the asynchronous phenomenon. First, considering that the system and controller modes could not be perfectly synchronized all the time, we study possible cases of mode mismatching by exploiting the average dwell time (ADT) switching strategy. Since the fact that a minimum dwell time of each subsystem is not required in the ADT switching rule, multiple system switching is allowed within one sampling interval, which overcomes the limitation of at most once switching during any sampling interval in existing works. Second, the asynchronous premise variables between the fuzzy system and fuzzy controller are taken into consideration in the quantized sampled-data control scheme. Then, by virtue of the Lyapunov function approach, we obtain sufficient conditions to guarantee that the asynchronously switched T-S fuzzy system is exponentially stable with quantized sampled-data input. Furthermore, the weighted L -gain is discussed for the system under external disturbance, and an H state feedback controller is correspondingly designed with prescribed disturbance attenuation. Finally, the validity and advantage of the proposed methods are illustrated by two examples.
本文研究了具有异步现象的连续时间切换 Takagi-Sugeno（T-S）模糊系统的量化采样数据控制问题。首先，考虑到系统和控制器模式不可能始终完全同步，我们利用平均驻留时间（ADT）切换策略研究了模式不匹配的可能情况。由于 ADT 切换规则中不要求每个子系统的最小驻留时间，因此允许在一个采样间隔内进行多次系统切换，这克服了现有工作中在任何采样间隔内最多只能进行一次切换的限制。其次，在量化采样数据控制方案中考虑了模糊系统和模糊控制器之间的异步前提变量。然后，通过 Lyapunov 函数方法，我们得到了保证异步切换 T-S 模糊系统具有量化采样数据输入的指数稳定性的充分条件。此外，讨论了系统在外部干扰下的加权 L -增益，并相应地设计了具有规定干扰衰减的 H 状态反馈控制器。最后，通过两个例子说明了所提出方法的有效性和优势。
