Interval Type‐2 Fuzzy‐Based Attack‐Resistant Filter Design for Networked Periodic Piecewise Systems With Probabilistic Delays

ABSTRACT In this work, the filtering design issue for nonlinear networked periodic piecewise systems in the midst of external disturbances and probabilistic time‐varying delays is investigated. Specifically, the interval type‐2 fuzzy approach is utilized to model the nonlinear periodic piecewise plant. Moreover, prime attention is focused on designing the interval type‐2 fuzzy‐based non‐fragile filter in the periodic piecewise framework, utilizing the measurement output of the considered system model. The filter design accounts for stochastic deception attacks on the measurement output and incorporates gain perturbations to improve robustness and resilience. Subsequently, through the formulation of a periodic piecewise Lyapunov‐Krasovskii functional, sufficient criteria are derived in the framework of linear matrix inequalities to ensure the stability of the filtering error system. Based on the established stability criteria, the design conditions of periodic piecewise filter gain parameters are determined. Eventually, simulation outcomes are offered to showcase the efficiency of the developed theoretical outcomes.