Head on interception of target that is performing a barrel rollmaneuver-helix trajectory is dealt with. The existing approaches aredealing the guidance in two dimensional coordinates frame as twoseparated–independent problems. This representation of the trajectoryassumes no coupling between the axes. However in head on interception ofa barrel roll maneuver-helix trajectory the dynamics of the two axes aredependent. In this paper, two representations of barrel roll maneuver-helixtrajectory that exploit this dependence are presented, the partially-coupled(PC) and strongly-coupled (SC) representations. These representations arebased on the fact that the acceleration of a barrel roll maneuver-helixtrajectory can be described as rotating vector. These coupledrepresentations are used to derive coupled guidance schemes, estimatorand guidance law. The performances of the coupled representations arecompared to the performance of guidance law based on the not-coupled(NC) representation. It is shown that the usage of guidance laws that takeinto account the coupling leads to improved performance, simultaneouslyin both performance indices, the RMS miss distance and control effort.
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