Observer-based Finite-time Event-triggered Asynchronous Sliding Mode Control for Interval Type-II Fuzzy Semi-Markov Jump Systems with Quantization and Fading Channels

Abstract

In this paper, we investigate the finite-time event-triggered sliding mode control(SMC) issue of a class of interval type-II fuzzy semi-Markov jump systems affected by quantization and fading channels. Firstly, the data needs to be quantized by logarithmic quantizers before being transmitted over the channel. To alleviate network pressure, a periodic event-triggered scheme is introduced to govern whether the data are sent to the sensor-tocontroller(S/C) channel or not. As the transmitted data passes through the S/C channel, it could undergo fading. Then, considering the asynchronous issue between the system mode and the controller mode, an asynchronous control scheme is applied; Thereafter, a feasible fuzzy observer-based SMC law is developed, which enables the state trajectories of the system to reach the specified sliding surface within finite-time; And with the aid of the time partition strategy, sufficient conditions for the system to be bounded in finite-time during the arrival and sliding stages are derived. Besides, by means of the linear matrix inequality(LMI) toolbox, the controller and the observer gains are computed. Finally, the advantages of the SMC strategy are validated by emulation products.