Abstract: The design of H_∞ filter was studied for random time delays and parameter uncertainty of network control systems. Firstly，the model was given to describe the systems with multi-channel random time delays by the Bernoulli sequence，and the uncertainties of the coefficient matrix were separated by the variable decomposition method. Then，the filtering error systems with different delay rates were constructed by augmented vectors，H_∞ performance metrics were quantitatively analyzed by Lyapunov theory， and sufficient conditions for the existence of filters were sought. Finally，the effectiveness of the proposed filter algorithm was verified by solving a set of filter parameters.

Key words: random time delays, parameter uncertainty, filtering, Bernoulli sequence