We consider robust H_∞ filtering for a sampled-data system whose measurements are sampled at uncertain and nonuniform sampling instants. A discrete-time, fixed-structure filter is considered. The resulting error system is time-varying, which makes the filter design difficult. A procedure is presented to design the filter so that the error system remains robustly stable with an H_∞ performance level γ for all possible variations of sampling periods. The effectiveness of the proposed method is demonstrated through a numerical example and a comparison with existing work.

Inspec keywords: sampled data systems; H∞ control; time-varying systems; discrete time filters; uncertain systems; H∞ filters; robust control

Other keywords: nonuniform sampling instants; H_∞ performance level; uncertain sampling instants; nonuniformly sampled-data system; fixed-structure filter; time-varying error system; robust stability; discrete-time system; robust H_∞ filter design

Subjects: Discrete control systems