$H_{\infty}$ Fuzzy Integral Control for a Class of Nonlinear Two-Time-Scale Systems Using Event-Based Method

This paper proposed a design of fuzzy integral controller for a class of two-time-scale systems using event-triggered strategy. The two-time-scale system contains two dynamic modes, i.e. fast and slow dynamics, which are separated by the existence of a small value constant
$\varepsilon$
(namely the parasitic parameter). The effect of
$\varepsilon$
is alleviated by the proposed controller with state feedback and integral feedback. In order to deal with the nonlinear system, the Takagi-Sugeno fuzzy model (TS fuzzy model) is used to linearize the nonlinearity while applying the event-triggered strategy in the design for reducing the communication cost. The experimental results show that the proposed controller has ability to control the nonlinear two-time-scale system while provides more availability between the controller and plant system.