Vibration Suppression in a Two-Mass Drive System Using PI Speed Controller and Additional Feedbacks—Comparative Study

Comparison of the control methods of electrical drives with an elastic coupling allowing to limit the torsional torque amplitude

“…A few models are used to describe a drive with an elastic coupling (a two-mass model), however, in the synthesis of the control system most frequently a model with an inertialess elastic coupling is used [17] written in relative units:…”

“…Various methods are used in the control of vehicle speed or the location of drives with an elastic coupling, starting with simple ones based on a PI controller tuned with account for coupling elasticity [22], to the introduction of additional feedbacks from one to a few state variables to such a controller, a detailed overview of such solutions can be found in [17]. Some other control systems use adaptive control.…”

“…Therefore, in a growing number of drives one can observe finite stiffness of couplings between a drive and machinery. This problem was initially considered in the heavy industry in various types of machines, such as: rolling mills [13], conveyor belts [10] Various methods are used in the control of vehicle speed or the location of drives with an elastic coupling, starting with simple ones based on a PI controller tuned with account for coupling elasticity [22], to the introduction of additional feedbacks from one to a few state variables to such a controller, a detailed overview of such solutions can be found in [17]. Some other control systems use adaptive control.…”

Active vibration control of a piezoelectric beam using PID controller: Experimental study

“…Figs. (17,18,19) show the amplitude-frequency response of the three beams with an extended frequency range. It is observed that the mode value of amplitude with control is lesser than the corresponding value without control at almost all frequencies.…”

“…When considering a flexible axis under PID control a root locus study shows that the closed-loop bandwidth is limited by the open-loop anti-resonance and that there exists a maximum closed-loop damping ratio that depends on the inertia ratio whatever the values of the control parameters [8].Therefore classical tuning of PID controllers using pole-placement or optimization criteria based on a periodic and minimum-phase models are not applicable to flexible mechanical structures. However in a number of specific cases the adequate PID parameters can be found with optimization techniques for determining speed loop PID parameters by minimizing an ITAE criterion or assuming the existence of multiple roots [18]. In the case of flexible axes PID control these analytical methods are difficult to work out when high uncertainties on model parameters exist.…”