The problems of stabilization and asymptotic following in infinite platoons of vehicles within the 2-D polynomial framework is treated. The dynamics of the problem are described using a fraction of two bivariate polynomials. In contrast to some previous works, the platoon here assumes a leader (and an infinite number of followers), therefore the often used bilateral z-transform should not be used here since it assumes a doubly infinite vehicular strings. The unilateral z-transform seems better suited. However, it brings about the need to take the boundary conditions into consideration; among other, the leader vehicle comes into the scene. The necessary formalism is introduced and used to provide elegant alternative proofs of some well-known facts about the platooning problem.
2-D polynomial approach to control of leader following vehicular platoons
2011
6 Seiten, 8 Bilder, 12 Quellen
Conference paper
Storage medium
English
Control of Vehicular Platoons using Nearest Neighbor Interactions
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