The current study examines the hybrid Rayleigh–Van der Pol–Duffing oscillator (HRVD) with
a cubic–quintic nonlinear term and an external excited force. The Poincaré–Lindstedt …

This paper investigates the potential of using a nonlinear positive position feedback
controller for vibration mitigation of a Duffing oscillator. The proposed controller is designed …

In this work, a nonlinear integral resonant controller is utilized for the first time to suppress
the principal parametric excitation of a nonlinear dynamical system. The whole system is …

In this work, vibration suppression of a base excited nonlinear spring–mass primary system
subjected to simultaneous external hard harmonic and parametric excitations is carried out …

This paper presents a novel controller for active vibration reduction in piezoelectric-actuated
flexible structures. The new Multi Positive Feedback (MPF) control consists of two sections …

In this paper, we investigated the nonlinear oscillations, stability and resonance of a
cantilever beam system which carrying an intermediate lumped mass. The response of …

Within this article, the nonlinear vibration control of the rotor active magnetic bearings
system is tackled utilizing the integral resonant controller for the first time. Two integral …

This research focuses on the nonlinear vibration control of a self-excited single-degree-of-
freedom system. The integral resonant controller (IRC) is introduced to stabilize the unstable …

Nonlinear integral positive position feedback (NIPPF) and adaptive nonlinear integral
positive position feedback (ANIPPF) controllers are used in a shearer's semi-direct drive …

This paper demonstrates the effectiveness of a Modified Linear Integral Resonant Controller
(MIRC) based on its original LTI cousin, known just as the 'IRC', for suppressing Jump …