Wang Zhanshan, Fan Xiaofei, Shi Zhan
IEEE Trans Cybern. 2022 Aug;52(8):7669-7681. doi: 10.1109/TCYB.2020.3036888. Epub 2022 Jul 19.
This article investigates the integral sliding-mode control (SMC) problem for T-S fuzzy systems via the periodic event-triggered method. First, in order to remove the assumption that the inter-execution time has a uniform upper bound, a novel sliding variable error function is added into the event-triggering mechanism. Second, in order to avoid the extra information transmission, a new sliding-mode switching function consisting of the triggering state information is proposed to design the event-triggered integral SMC (ISMC) law. In addition, the ultimate boundedness of sliding motion can be ensured via using a designed event-triggered ISMC law. A sufficient condition of boundedness is given in the form of linear matrix inequality, which is employed to solve the controller gain matrix. Finally, the effectiveness of theoretical results can be illustrated via three illustrative examples.
本文通过周期性事件触发方法研究了T-S模糊系统的积分滑模控制（SMC）问题。首先，为了消除执行间隔时间具有统一上界的假设，在事件触发机制中加入了一种新颖的滑模变量误差函数。其次，为了避免额外的信息传输，提出了一种由触发状态信息组成的新的滑模切换函数来设计事件触发积分滑模控制（ISMC）律。此外，通过使用设计的事件触发ISMC律可以确保滑模运动的最终有界性。以线性矩阵不等式的形式给出了有界性的充分条件，用于求解控制器增益矩阵。最后，通过三个示例说明了理论结果的有效性。
