H∞ filtering for networked control systems with quantization and multiple packet dropouts

This paper addresses the H_∞ filtering problem for networked control systems with quantization and multiple packet dropouts. The effects of measurement channel and control channel quantization as well as packet dropouts are considered simultaneously due to limited communication capacity and unreliable communication links. Stochastic variables satisfying the Bernoulli random binary distribution are utilized to model the multiple packet dropouts. Sufficient conditions are proposed such that the filtering error system is exponentially mean-square stable while the H_∞ disturbance rejection attenuation constraint is satisfied. Then, the explicit expression of the desired filter gains is described in terms of the solution to linear matrix inequalities (LMIs). Finally, a numerical example is employed to demonstrate the effectiveness of the proposed filter design approach.