

At first, it is considered signals generated by numerical integration of the mathematical model. As an application to a mechanical system, a nonlinear pendulum is considered and, based on parameters obtained from an experimental setup, analyses are carried out. This contribution employs the close-return method to identify UPOs and a semi-continuous control method, which is built up on the OGY method, to stabilize some desirable UPO. After that, a control technique is employed in order to stabilize a desirable orbit. In the first, unstable periodic orbits (UPOs) that are embedded in the chaotic set are identified. Chaos control usually involves two steps. Chaotic behavior of dynamical systems offers a rich variety of orbits, which can be controlled by small perturbations in either a specific parameter of the system or a dynamical variable.
