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Abstract In this paper, design of infinite dimensional distributed consensus filter is addressed for a class of spatially distributed processes utilising mobile sensor networks with multiple packet losses. The missing information is drawn into a sensor network in such a way that it conforms to a conditional probability distribution. A new framework for optimisation of mobile sensors is presented to enhance the performance of the filter. The goal of filtering issue is to construct a distributed consensus filter, for any possible measurements that are missing, such that the filtering error converge to bounded consensus in the mean square. Using the Lyapunov direct method and the spatial operator, certain sufficient criteria for the desired filter to satisfy the consensus performance criterion are developed. Lastly, a numerical simulation is performed to show that the suggested filter presented is effective.