Optimal Shortcuts to Adiabatic Control by Lagrange Mechanics

Autor: Lanlan Ma, Qian Kong
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Entropy, Vol 25, Iss 5, p 719 (2023)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e25050719
Popis: We combined an inverse engineering technique based on Lagrange mechanics and optimal control theory to design an optimal trajectory that can transport a cartpole in a fast and stable way. For classical control, we used the relative displacement between the ball and the trolley as the controller to study the anharmonic effect of the cartpole. Under this constraint, we used the time minimization principle in optimal control theory to find the optimal trajectory, and the solution of time minimization is the bang-bang form, which ensures that the pendulum is in a vertical upward position at the initial and the final moments and oscillates in a small angle range.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje