Protocol-Based Reliable Control for 2-D Fuzzy Systems Subject to Fading Networks

This paper investigates the fuzzy censoring control problem for two-dimensional (2-D) discrete fuzzy systems characterized by the Roesser model. A novel event-triggered random protocol based on nonhomogeneous sojourn probability is proposed to effectively alleviate communication loads in 2-D fuzzy systems. To address signal fading effects, a censoring strategy is introduced to quantify the severity of signal degradation in transmitted data. The censored control input is subsequently modeled through a Tobit framework, thereby facilitating the design of an integrated state feedback control scheme for 2-D fuzzy systems. By leveraging Lyapunov stability theory, sufficient conditions are derived to guarantee the asymptotic mean-square stability of the closed-loop system while satisfying prescribed performance specifications. Furthermore, parameters are optimized via genetic algorithms to mitigate redundant conservatism associated with linear matrix inequalities. Finally, a gas absorption, water stream heating and air drying industrial case are carried out to verify the theoretical rigor and practical effectiveness of the proposed methodology.