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This paper presents the model, design, and simulation for a navigation system developed for a group of mobile robots dedicated to the production of maps for underground hydraulic infrastructure. The system can operate internally in unknown pipeline networks without GPS support, integrating Tarry’s principles of deep search, Pledge modify discrimination, and topographic orientation transfer, in the temporary construction of a reference network independent of peripheral inertial navigation. The acquisition of topographic objectives for mapping is done by laser collimation and radio frequency synchronization with an angular and longitudinal precision of sigma II range. The maps produced contain the polygonal axes of the network pipelines.