This thesis is focused on a second order controller named Super Twisting Sliding Mode Control (STW SMC) designed for the Laser Interferometer Space Antenna (LISA) mission. This ESA space mission, which will be launched on 2034, will be used as in-space observatory for a lifetime of five years to detect gravitational waves generated from sources like binary stars systems and merging of supermassive black holes. The space observatory consists in three satellites in a triangular constellation at 1 AU from the Sun on a heliocentric orbit. The distance between spacecrafts will have to be fixed and each small variation will be assigned to possibly gravitational waves.