Nonlinear Saturation Controllers for Suppression the Vibration of Nonlinear Spring Pendulum

In this work, we apply the Averaging Method to obtain the theoretical results. The Nonlinear Saturation Controller (NSC) is proposed to decrease the vacillations of the spring pendulum. We investigate the stability of the system nigh the resonance condition by applying the frequency response equations. Numerically, the effects of diversified controller’s parameters on the basic system behaviour are studied. The emulation results are attained by utilising Matlab and Maple programs.