This paper studies the guaranteed consensus of mobile sensor networks(MSNs)with stochastic switching topologies.The switching of topology is triggered by a Markov chain,whose initial and transition probabilities are partially unknown.Each topology in the switching topology set is a directed graph with a spanning tree.A set of distributed switching consensus controllers are derived by means of stability analysis of Markovian jump systems.This is achieved by defining a novel topology-aware cost function of the MSNs involving cost consumption for information receiving,sending and control.By state transformation,the initial dynamics of MSN is reduced to a Markovian jump system with guaranteed cost.A computational algorithm is proposed to simultaneously calculate both the sub-optimal controller gains and the sub-minimal upper cost bound.Eventually,the performance of the controller design method is verified by numerical examples.