Eventos Anais de eventos
DINAME 2023
XIX International Symposium on Dynamic Problems of Mechanics
Chaos Control in a Nonlinear Pendulum Using a Generalized Extended Time-Delayed Feedback Method
Submission Author:
Arthur Rodrigues Queiroz , DF , Brazil
Co-Authors:
Arthur Rodrigues Queiroz, Aline Souza de Paula, Marcelo Savi
Presenter: Arthur Rodrigues Queiroz
doi://10.26678/ABCM.DINAME2023.DIN2023-0182
Abstract
Chaos control is based on the stabilization of unstable periodic orbits (UPOs) embedded in chaotic behavior by means of tiny disturbances. The Extended Time-Delayed Feedback Control Method is a continuous approach associated with a scalar gain. This paper considers a generalization of the method, assuming a matrix controller gain instead of a scalar, investigating its influence on the control efficacy. The control performance for different gains is compared in terms of stabilization time and maximum control perturbation. A case study of a nonlinear pendulum is of concern, which consists of a metallic disk with eccentrically concentrated mass, excited by a motor-spring-wire system. Lyapunov exponents of the UPOs are employed as controller parameter criterion. Results show that matrix gain increases the controlability when compared with the scalar gain.
Keywords
Chaos Control, nonlinear dynamics, pendulum, ETDF
