Finite-Horizon Filtering for Networked 2-D Systems With Asynchronous Measurement Delays Under Non-Logarithmic Sensor Resolution

In this paper, the recursive state estimation problem is investigated for a class of two-dimensional networked shift-varying systems with asynchronous measurement delays and non-logarithmic sensor resolution. A new soft measurement model with asynchronous delays is developed to deal with the inaccurate measurements caused by the non-logarithmic sensor resolution, and a recombination method is proposed to tackle the difficulties induced by the asynchronous measurement delays. The purpose of this paper is to design a finite-horizon filter such that under the joint effects of asynchronous measurement delays and non-logarithmic sensor resolution, an upper bound for the filtering error covariance is ensured and then minimized by appropriately designing the gain parameters. Some sufficient conditions are established to guarantee the boundedness of the proposed filtering algorithm. Finally, two illustrative examples are presented to showcase the effectiveness of the proposed finite-horizon filtering scheme.