Dynamic event-triggered sliding mode control for interval Type-2 fuzzy systems with fading channels

Abstract

This paper addresses the issue of sliding mode control(SMC) for a class of interval type-2(IT2) fuzzy system subject to the fading channel. For relieving the transmission burden, a dynamic event-triggered mechanism is introduced to determine the transmission of the measurement signals via the sensor-to-controller(S/C) channel. In the communication channel, the transmitted signal may suffer from fading in wireless communication networks. By means of known bounds of the membership functions (MFs) in IT2 fuzzy model, both the fuzzy state observer and the fuzzy SMC law are designed to ensure the reachability of the sliding mode dynamics. Meanwhile, stability conditions involving the fading parameter are obtained to guarantee that the input-to-state practical stability in mean square of the closed-loop systems. Finally, the proposed control scheme under the fading communication is verified by virtue of the numerical simulation and the tunnel diode circuit.