Abstract
An approach to designing algorithms for confining constraints within the aircraft control trajectory is elaborated on the basis of geometric transformations in three-dimensional state space. Algorithms are designed to confine the constraints for airborne control complexes and adaptive to the current coordinate-parametric state of the object and configuration of the constraining surface. Formulas for computing the aircraft position angles in space during maneuvers to veer off from the constraining surface are derived. The veer-off trajectory is realized by direct optimization tools and algorithms. An example is given to illustrate to veer off from surface of a paraboloid of rotation.
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Akimov, A.N., Vorob'ev, V.V. A Method and Algorithms for Veering a Flying Apparatus from the Spatial Constraint Surface. Automation and Remote Control 62, 1042–1048 (2001). https://doi.org/10.1023/A:1010293424171
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DOI: https://doi.org/10.1023/A:1010293424171