Robust H∞ filter design for singular systems with networked missing measurements

This paper concerns the robust H_infin filtering problem for uncertain discrete-time singular systems with lossy data due to unreliable networked transmission. The stochastic variable satisfying Bernoulli random binary distribution is introduced to model the missing measured outputs. A set of sufficient conditions for the existence of the desired filter is established, and a robust filter design method under the linear matrix inequality framework is proposed. One numerical example is given to illustrate the effectiveness of the proposed method.