H ? filtering for stochastic singular fuzzy systems with time-varying delay

This paper considers the H? filtering problem

for stochastic singular fuzzy systems with timevarying

delay. We assume that the state and measurement

are corrupted by stochastic uncertain exogenous

disturbance and that the system dynamic is modeled

by Ito-type stochastic differential equations. Based on

an auxiliary vector and an integral inequality, a set of

delay-dependent sufficient conditions is established,

which ensures that the filtering error system is e?t -

weighted integral input-to-state stable in mean (iISSiM).

A fuzzy filter is designed such that the filtering

error system is impulse-free, e?t -weighted iISSiM and

the H? attenuation level from disturbance to estimation

error is belowa prescribed scalar.Aset of sufficient

conditions for the solvability of the H? filtering problem

is obtained in terms of a new type of Lyapunov

function and a set of linear matrix inequalities. Simulation

examples are provided to illustrate the effectiveness

of the proposed filtering approach developed in

this paper.