Abstract:
Although solving inverse dynamics problems is performed a lot in literature, none of
the previous references addressed the general unrestricted solution of three dimensional
(3D) trajectories of guided gliders. This glider could be any subsonic flying body such
as guided ammunitions. Inverse dynamics could be one of the key techniques of solving
similar problems. In this paper, 3D trajectory generation and following are performed.
The trajectory generation is divided into three phases: heading correction, glide and
terminal phases. The solution of the inverse problem is performed analytically, using
the Mu-Pad tool. Next, a special formulation of the general dynamics equations enables
the solution of such a problem and the calculation of the required deflection angles.
Finally, a six degrees of freedom (6DoF) direct simulation is performed using the
obtained deflection angles in order to compare its trajectory with the generated one.
This comparison yields fairly good results and validates the quality of the proposed
inverse dynamics solution.