Event-Triggered Sliding-Mode Control for a Class of T-S Fuzzy Systems

An event-triggered sliding-mode control problem is investigated for a class of multiple-input Takagi-Sugeno (T-S) fuzzy systems via designing a linear switching function. An assumption that all local linear systems share a common input matrix is removed. Then, a novel event-triggered sliding-mode controller with asynchronous premise variables is designed, which can ensure that the trajectory of multiple-input T-S fuzzy systems can be driven onto the region near the sliding surface after finite time. A sufficient condition is established to guarantee the stability of sliding motion, and the sliding-mode controller gain is obtained by solving a set of linear matrix inequalities. The positive lower bound of the interexecution time can be ensured, which means that there is no Zeno phenomenon. In the end, the advantages and effectiveness of the theoretical results are illustrated by two examples.