Integral Sliding Mode Control of T-S Fuzzy Systems via a Fuzzy Triggering Mechanism

This paper is concerned with the problem of integral sliding mode control for a class of T-S fuzzy systems based on a fuzzy event triggering mechanism. Firstly, two types of integral sliding switching functions are presented, which include the continuous state dependent sliding mode surface and the triggering state dependent surface. The former is used to analyze the reachability of the sliding surface, while the latter is used to design the event-triggered integral sliding mode controller. Secondly, the fuzzy triggering mechanism is proposed, which consists of the fuzzy membership function and the state information. It provides an important guarantee for the boundedness of the sliding variable error. Thirdly, the event-triggered sliding mode control law is designed based on the triggering state dependent integral sliding mode surface and fuzzy triggering mechanism, the event-triggered sliding mode control law with asynchronous premise variables is designed. Furthermore, the uniformly positive upper bound for the internal execution time can be obtained, which means that there is no Zeno phenomenon. Finally, two simulation examples are presented to illustrate the validity and advantages of the proposed method.