Novel mixed-triggered filter design for interval type-2 fuzzy nonlinear Markovian jump systems with randomly occurring packet dropouts

This paper is aimed at investigating the problem of mixed-triggered filter design for interval type-2 (IT2) fuzzy nonlinear Markovian jump systems (MJSs) with randomly occurring packet dropouts. First, an IT2 fuzzy nonlinear MJSs model with parameter uncertainties is established by using IT2 fuzzy model, and the fuzzy filter is designed with different premise variables. Second, a novel mixed-triggered scheme is addressed, which can reduce the needless waste of network resources. Then, two Bernoulli stochastic variables are employed, one to randomly switch the different modes of the mixed-triggered scheme, the other to describe the randomly occurring packet dropouts. Next, in order to ensure that IT2 fuzzy filtering error system is asymptotically stable, sufficient conditions are presented. Moreover, the existence conditions for the fuzzy filter are given by the linear matrix inequalities. Finally, simulation results are given to verify the validity of the proposed method.