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The legged robots have emerged by the necessity of vehicles capable of travel and access safely on natural or unstructured terrains, in which vehicles with traditional travel systems (like the wheels) are unable to access, or if they achieve, they move on them with very low efficiency. However, despite the advantages of mobile robots with legs, there are limitations that hinder its use like the control of movement of their legs, the algorithm of locomotion, trajectory tracking and the obstacle avoidance. In our days, a very useful alternative applied to control systems is fuzzy logic; this one is capable of modeling mathematical complex systems. Therefore, fuzzy logic has been becoming popular in control systems for complex and nonlinear plants. The aim of this work is to make algorithms to control the hexapod robot body. The development of these algorithms uses fuzzy logic techniques for controlling the servomotors of the robot. Matlab algorithms are performed to establish a wireless communication using the ZigBee communication protocol, and we use the genetic algorithm toolbox from Matlab to make the control of the hexapod robot body in the ˵x–y″ plane, this is a multi-objective optimization problem due to the stabilization of the robot body in ˵x″ and the stabilization of the robot body in ˵y″. [ABSTRACT FROM AUTHOR]