Event-based filtering for discrete time-varying systems

In this paper, the event-based finite-horizon filtering problem is investigated for discrete time-varying systems. For the purpose of reducing communication, a general event generator is employed to determine the event time instant and then transmit the measurement output to the remote time-varying filter. By utilizing the stochastic analysis techniques, sufficient conditions are derived for a finite-horizon filter to satisfy the prescribed H_∞ performance requirement. These conditions are expressed in terms of the feasibility of a series of recursive linear matrix inequalities. The effectiveness of the proposed filter design scheme is illustrated by a numerical simulation.