H_∞ FILTERING FOR CONTINUOUS-TIME LINEAR SYSTEMS WITH DELAY

摘要

The problem of H_∞ filtering for continuous-time linear systems with time-delayed measurement is investigated. We develop a methodology for designing linear filters which ensure a prescribed bound on the L_2-induced gain from the noise signals to the estimation error. Filtering problems for time-varying systems on finite-horizon case, as well as stationary infinite-horizon filtering for time-invariant systems are tackled. In the finite-horizon case, our estimation procedure entails an overdesign that stems from the last d seconds of the time interval [0, T], where d is the delay length. This overdesign becomes smaller as T increases, and it vanishes in the infinite-horizon case.