Fixed-Time Stabilization for IT2 T–S Fuzzy Interconnected Systems via Event-Triggered Mechanism: An Exponential Gain Method

This paper investigates the fixed-time stabilization for IT2 T-S fuzzy interconnected systems via event-triggered mechanism. In order to reduce the amount of triggering events, an exponential gain method is proposed. The main novelty of this new method lies in the introduction of an exponential term, which makes control gains alterable in the interval of two consecutive event times. Then, by designing controllers with exponential gains, some sufficient conditions are derived which guarantee the fixed-time stabilization of the concerned system. Since sign functions are no longer contained in the newly designed controller, the chattering phenomena are also avoided. Additionally, the existence of a positive lower bound for the inter-execution is verified, which implies that the concerned system does not exhibit Zeno behaviors. Finally, several illustrative examples are provided to show the effectiveness of the main results.