Distributed Filter Design for a Class of discrete-time systems with Saturation Effects

This paper is concerned with the distributed filter design problem for a class of state-saturated systems with quantization effects through a sensor network. The filter for each sensor is constructed and an augmented dynamic error system is obtained. The purpose of the addressed problem is to find an upper bound for the estimation error covariance and find a proper filter gain to minimize the bound. It is proved that the desired upper bound can be described by constructing a set of difference equations. Moreover, it is minimized by appropriately designing the parameters of the distributed at each time step. A numerical simulation is exploited to indicate the effectiveness of the developed filters.