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The sliding mode control (SMC) problem is studied for interval type-2 fuzzy semi-Markovian jumping systems (S-MJSs) subject to channel fading. To reduce the network burden, a dynamic event-triggered protocol is adopted to improve the transmission efficiency. A key feature is that the signal transmission is inevitably affected by fading phenomenon due to random noise and amplitude attenuation during the wireless communication. The main challenge lies in designing an appropriate fuzzy control scheme to achieve the reachability of the specified sliding region in line with channel fading. Under the common sliding surface, a fuzzy SMC law is constructed, which is related to the state signals affected by dynamic event-triggered protocol and channel fading. Then, by means of the boundary information of the global membership functions, sufficient conditions to ensure the stochastic stability of the underlying system, and the system states can be driven on the specified sliding region within a finite-time interval, which attenuates the influence of the channel fading. In the end, the tunnel diode circuit model is simulated to verify the proposed SMC strategy.
Qi et al. (Tue,) studied this question.