On the sampled-data H-infinity filtering problem

In this paper the H-infinity filtering problem of a continuous-time process is considered under the assumption that the measurement is sampled by a ge neralized sampling device. Both cases of known and unknown initial conditio ns are considered. The problem is treated via the lifting transformation, w hich converts the problem to a pure discrete-time setting. It is shown that if a suboptimal filter exists, it can always be presented in the form of a finite-dimensional discrete-time (possibly time-varying) filter followed b y a stationary generalized hold function. This extends previous results in the literature, where a suboptimal filter of this structure (with an LTI di screte-time part of the filter) was obtained for the case of known initial conditions only. Also, the existence conditions of a suboptimal filter deri ved in this paper are simpler than those known in the literature. (C) 1999 Elsevier Science Ltd. All rights reserved.