Observer-Based Sliding Mode Control for Stochastic Sampling Fuzzy Systems With Stochastic Communication Protocol

Junhui Wu, Jun Cheng, Huaicheng Yan, Leszek Rutkowski, Jinde Cao

Abstract: This study examines observer-based sliding mode control for stochastic sampling Takagi–Sugeno fuzzy systems under a stochastic communication protocol (SCP). Aimed at reducing network bandwidth use and lessening the negative effects of signal transmission disruptions, the sampling signal sequence exhibits dual stochastic characteristics, influenced by both stochastic sampling and network attacks. The stochastic intervals between samples are governed by a Markov chain, and the samples are vulnerable to denial-of-service attacks during network transmission. Moreover, a novel SCP is developed utilizing sojourn probability and residence time information, enhancing communication efficiency. Subsequently, a suitable sliding mode control law is crafted based on the observed data, providing a sufficient condition for the mean square exponentially ultimate boundedness of the closed-loop system. The efficacy of the constructed methodology is demonstrated using a tunnel diode circuit model.