H∞ filter design of networked systems with uncertain accessing probabilities and quantisation

This paper is concerned with the H_∞ filtering problem for networked systems with limited accessing measurement and quantisation effects. The plant has multiple quantised measurement outputs and only one of them can be received by the filter at each transmission instant. The considered situation is stochastic accessing with uncertain probabilities based on the observation that estimated probabilities with error bounds instead of exact ones can be obtained in practical systems. The accessing process is modeled as a Bernoulli sequence and the corresponding filtering error system is modeled as a stochastic system with uncertainties both in the system matrix and probabilities. Sufficient conditions are presented for the filtering error system to be stochastically stable with an H_∞ performance and a filter design method is also presented in terms of liner matrix inequalities. Finally, an illustrative example is given to show the effectiveness of the proposed method.