Event-Based Based Finite Finite-Time Time Filtering for Multirate Systems With Fading Measurements
Abstract: In this paper, the finite-time 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 event-based based wireless relay communication scheme is proposed to determine whether the received 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 time boundedness (FTB) of the estimation error dynamics is guaranteed and the prescribed finite finite-time H∞ performance constraint is achieved. Based on the derived conditions, the addressed finite finite-time 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 finite-time H∞ performance nce 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.