Control of vibrational field in a cyber-physical vibration unit

Abstract

The problem of feedback control of vibrational fields in a vibration unit is posed. The algorithms for control of the vibration fields by means of the control of the phase shift between rotors are proposed. The performance of the closed loop system is examined by simulation for the two-rotor vibration unit SV-2M.

Control of oscillations in two-rotor cyberphysical vibration units with time-varying observer

“…In addition, the model takes into account the influence of the dynamics of the system of electric drives of unbalanced rotors. In this section the mathematical model of the vibration unit and the control algorithm are described following [Tomchina, 2018]. Besides, the drive dynamics model, schematics of the SV-1 vibration unit ( Fig.…”

Control of vibrational field in a vibration unit: influence of drive dynamics

“…In this paper the problem of feedback control of vibrational fields in a vibration unit (VU) is considered. In [Tomchina, 2018] this problem was formulated and studied when the drive dynamics are neglected. The contribution of this paper is the analysis of the case when the drive dynamics are taken into account and comparison of simulation results for two cases (drive dynamics are neglected or taken into account).…”

“…An efficient way to implement such a control is the creation of mechatronic units based on the principles of vibration control by feedback. In [Tomchina, 2018] the problem of feedback control of vibrational fields was formulated and studied when the drive dynamics are neglected, In [Andrievsky et al, 2019] the limit possibilities for control of vibrational fields were studied and alternative algorithms of phase shift control were analyzed.…”

“…2 Model of Two-rotor Vibration Unit Taking into Account the Drive Dynamics In this section the mathematical model of the vibration unit and the control algorithm are described following [Tomchina, 2018]. Besides, the drive dynamics model is given, following [Tomchina et al, 2015].…”

“…where 0 < α < 1 is weight coefficient; H is total mechanical energy of a system (1), H * is the desired value of H. The speed-gradient algorithm in the finite form with the objective functional (5) is as follows [Tomchina, 2018]:…”