Abstract: In order to solve the problem of sensor saturation constraints, a robust L 1 filter for a class of nonlinear
time-delay switching systems is studied. The nonlinear switched systems with nonlinear time-delay satisfy
lipschitz constraint condition and norm bounded uncertainties. By constructing a delay-dependent Lyapunov
function and utilizing the minimum average dwell time method, a delay-dependent peak-to-peak(L 1 ) criterion is
established for the nonlinear delay switched systems subject to sensor saturation, the design of filter is converted
into a convex optimization problem of solving a set of linear matrix inequalities. Finally, a simulation example
illustrates the effectiveness of the proposed approach.

Key words: robust L 1 filtering, Lipschitz nonlinear function, average dwell time(ADT), nonlinear delay switched systems