The generalized Gauss principle application for oscillations suppression of a cart with triple rods pendulum.

Autor: Yushkov, Mikhail P., Bonderenko, Sergei O., Dodonov, Viktor V.
Předmět:
Zdroj: AIP Conference Proceedings; 2023, Vol. 2872 Issue 1, p1-7, 7p
Abstrakt: The problem of oscillations suppression of a cart with triple rods pendulum is observed. The oscillations are appeared due the rest-to-rest movement of the system. At first, the problem was considered as the control problem and solution was found from Pontryagin maximum principle. Than high order nonholonomic constraint was discovered. The constraint is fulfilled for all movement time. After that another solution was gained by nonholonomic mechanic method — generalized Gauss principle. The solutions are compared graphicly. For the long-time movement the second principle had more smooth behavior. For the short-time movement the boundary-value problem was extended. This helped to eliminate the first two solutions defect — the force jumps at starting and ending times. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index