Tracking control of a cart-pendulum underactuated system around its vertical up position

نویسندگان

چکیده

Abstract This research provides a solution to the challenging problem of enforcing periodic or cyclic motion in underactuated systems, even when upper position is an unstable equilibrium point open-loop system. Here, we present tracking control cart-pendulum system, where pendulum forced oscillate around its upward position. A two-relay controller was used generate desired trajectory, which locally asymptotically stable limit cycle, for system question. The tuning produce frequency and amplitude also discussed. Furthermore, twisting designed ensure robustness properties closed-loop verified from Lyapunov stability analysis. positions velocities cart were assumed be available feedback. Numerical experimental results validated theoretical

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ژورنال

عنوان ژورنال: Journal of physics

سال: 2023

ISSN: ['0022-3700', '1747-3721', '0368-3508', '1747-3713']

DOI: https://doi.org/10.1088/1742-6596/2514/1/012001