... with the consideration of the electric-hydraulic actuator. The complex nonsynchronous vibration of squeeze-film dampers rotor-bearing system is demonstrated to be stabilized by such electric-hydraulic orifices actuators with proportional-plus-derivative (PD) controllers. Numerical results show that the nonchaotic...

... currents, respectively, flowing in the coils of magnetic bearings; and g 0 is the nominal gap between the shaft and stator. For simplicity, the control current of the feedback control system is assumed to be proportional to the shaft displacement and velocity; that is, a PD controller, which can...

.... Previous studies have shown that input shaping can be used on linear systems to produce point-to-point motion with no residual vibration. This paper extends command-shaping theory to nonlinear systems, specifically systems with Coulomb friction. This idea is applied to a PD-controlled mass with Coulomb...