Résumé
Dans ce papier nous présentons un programme en REDUCE qui permet de calculer le rang de singularité r(x s,yd) pour une trajectoire yd ∈ C∞ (ℝ) et un point singulier x s donnés. On a démontré [1], [2] que ce rang fournissait une condition nécessaire pour la poursuite de la trajectoire y d à travers le point singulier x s et permettait de quantifier le maximum de régularité du couple (ū d, xd), solution du problème de poursuite. Dans [3], nous montrons que si r(x s,yd) est infini et le “saut de l'index relatif” au point singulier est fini, alors il existe une commande C∞ permettant le passage à travers le point singulier.
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© 1991 Springer-Verlag
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Fayaz, M.A. (1991). Calcul formel pour la “poursuite singuliere” de trajectories. In: Jacob, G., Lamnabhi-Lagarrigue, F. (eds) Algebraic Computing in Control. Lecture Notes in Control and Information Sciences, vol 165. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006928
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DOI: https://doi.org/10.1007/BFb0006928
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