Stability analysis of a class of singular fuzzy systems with time delays via event-triggered sliding mode control

In this paper, the stability of singular fuzzy systems with time -delays is investigated by use of event triggered sliding mode control(ETSMC). For the impulse of singular systems can be caused at the instants of every event trigger executed, a new controller is designed to alleviate the impact of the impulse. It can avoid the effect of the impulse for the stability of the system. At the same time, the input matrices of the considered fuzzy systems could be different. And the common restrictions about them are removed in this paper. By use of the proposed method, the considered system can be stabilized via event -triggered sliding mode control. Furthermore, Zeno phenomenon of the considered system could be avoided under the proposed method. Finally, two examples are provided to illustrate the effectiveness of this method.