H_{\infty} control for discrete-time IT۲ fuzzy system with infinite distributed-delay via Adaptive event-triggered scheme and its application

This article investigates the H_{\infty} control problem for discrete-time interval type-۲ (IT۲) fuzzy systems with infinite distributed delay via an adaptive event-triggered scheme. The IT۲ T-S fuzzy system, which is a development over the (type-۱) T-S fuzzy system, has greater effectiveness for the expression of system uncertainty, which will improve the difficulty of analysis. Our main goal is to make more efficient use of network resources by developing an adaptive event-triggered controller for interval type-۲ fuzzy systems. In contrast to the traditional triggering method, an adaptive event-triggered technique is proposed to improve bandwidth consumption and network control performance. The triggering function's parameters are based on an adaptive law. Moreover, employing the Lyapunov functional method, the resultant criterion gives sufficient conditions to guarantee that discrete time IT۲ fuzzy systems are mean-square exponentially stable with a H_{\infty} performance. Finally, a single-link robot arm model and a DC motor are employed to show the usefulness and efficiency of the obtained theoretical results.

Keywords:

Adaptive event-triggered scheme , infinite-distributed delay , discrete-time IT۲ fuzzy system