In the paper. in order to deal with the attitude control problem of a rigid
body in a 3-D space, a new control strategy in hypercomplex algebra is dev
eloped. The proposed approach is based on two parallel controllers derived
in quaternion algebra. The first one is a feedback controller of PD type, w
hile the second is a feed-forward controller implemented by means of an hyp
ercomplex multilayer perceptron (HMLP) neural network. Quaternion algebra a
llows to simplify the computational complexity of the controllers and leads
to a more efficient learning algorithm for the neural network. Several sim
ulations and comparisons with other control strategies show the suitability
of the proposed approach.