Event-Based Finite-Time Filtering for Multirate Systems With Fading Measurements

In this paper, the finite-time filtering problem is investigated for a class of wireless networked multirate systems (NMSs) with fading channels. The system measurements are transmitted through fading channels described by a modified stochastic Rice fading model, and the event-based wireless relay communication scheme is proposed to determine whether the received fading measurements in the relay nodes should be transmitted to the filter. With the aid of the stochastic analysis approach, sufficient conditions are established under which the stochastic finite-time boundedness (FTB) of the estimation error dynamics is guaranteed and the prescribed finite-time $H_{\infty }$ performance constraint is achieved. Based on the derived conditions, the addressed finite-time filtering problem of NMSs is recast as a convex optimization one that can be solved via the semidefinite program method. Furthermore, the explicit expression of the desired filter is obtained by means of the feasibility of certain matrix inequalities. Two additional optimization problems are considered with respect to the FTB parameter and the finite-time $H_{\infty }$ performance index. Finally, a numerical simulation example on a continuous stirred tank reactor is employed to show the effectiveness of the filtering scheme proposed in this paper.