Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
CHAOS CONTROL USING A ROBUST METHOD FOR THE STABILIZATION OF UNSTABLE PERIODIC ORBITS
Submission Author:
Alessandro Zachi , RJ
Co-Authors:
Alessandro Zachi, Josiel Gouvêa, Aline Souza de Paula, Marcelo Savi
Presenter: Alessandro Zachi
doi://10.26678/ABCM.COBEM2023.COB2023-0571
Abstract
Chaos control has the objective of stabilizing unstable periodic orbits (UPOs) embedded in a chaotic attractor. Since these orbits belong to the system dynamics, this approach has several advantages compared to other controller processes. This paper investigates the utilization of a modified Active Disturbance Rejection Control (ADRC) method to stabilize UPOs. This method is well-known in the literature for its ability to reject external disturbances, compensating for parametric uncertainties. It is composed of an extended observer that estimates the system state variables and unobserved signals used in a state feedback control law. The main feature of the modified ADRC scheme compared to the standard ones is that the former does not require exact knowledge of the control coefficient, which increases its robustness to a wide class of parametric uncertainties.
Keywords
Chaos Control, Unstable periodic orbit, robust control, ADRC method
