Event-based recursive filtering for nonlinear bias-corrupted systems with amplify-and-forward relays

In this paper, the recursive filtering issue is investigated for an array of nonlinear bias-corrupted systems with a dynamic amplify-and-forward (AF) relay under the dynamic event-triggered scheme (DETS). To release communication pressure, the DETS is applied to schedule the required signal transmission by adjusting the threshold dynamically. Subsequently, for the sake of enhancing the signal quality of the remote transmission in wireless communication, the relay under the AF protocol is introduced that posing the merits of low complexity, less energy consumption and fast transmission rate. Comparing with the existing results, the amplification factor adopted in this paper is adjusted adaptively that can better reflect reality. Furthermore, a minimized upper bound of the filtering error covariance is acquired via designing appropriate filter parameter, and the mean-square exponential boundedness of the filtering error is analyzed. In addition, both the state and the bias are estimated through the proposed filtering algorithm. Finally, a numerical example is exhibited to test the validity of the algorithm.