Chaotification of permanent magnet DC motor using discrete nonlinear control

Abstract

In this paper, a new way of chaotifying a permanent magnet direct current motor is proposed. The idea consists in applying a discrete time nonlinear control to the motor to set up the chaotic behavior. Two control methods are presented. The first one is achieved by imposing a nonlinear discrete controller based on the square of the motor speed and in this case simulation results show flip bifurcations routes to chaos with the switching period or the desired speed being the bifurcation parameters. The second method is based on a switching control, in this case a series of boundary collision bifurcations lead to chaotic behavior if we increase the gain of the controller.