Angular Velocity and Phase Shift Control of Mechatronic Vibrational Setup

Bidirectional Controlled Multiple Synchronization of Unbalanced Rotors and Its Experimental Evaluation

“…ultra-low frequencies: 0 ω < 30 rad/s; 2. low frequencies: 30 ω < 50 rad/s; 3. medium frequencies: 50 ω < 70 rad/s; 4. high frequencies: 70 ω < 100 rad/s; 5. superior frequencies: ω 100 rad/s. At frequency ω ≈ 125 rad/s the Sommerfeld effect (Sommerfeld, 1902;Blekhman, 1988;Dimentberg et al, 1997;Blekhman and Fradkov, 2004;Kovriguine, 2012;Cvetićanin and Zukovic, 2015) manifests itself; the frequencies in this range and the upper one have not been experimentally studied in (Andrievsky et al, 2019;Fradkov et al, 2021) and are not considered in the present study. The control laws for frequency stabilization along with the prescribed phase shift between the rotors angular positions are proposed and experimentally studied on the mechatronic vibration setup SV-2M.…”

“…The Multiresonance Mechatronic Laboratory Setup (MMLS) SV-2M of the IPME RAS, described in (Boikov et al, 2016;Fradkov et al, 2016;Andrievsky and Boikov, 2017;Andrievsky et al, 2019;Fradkov et al, 2021), is used for experimental investigations. For the sake of clearness, the SV-2M is briefly described below.…”

“…3 Bidirectional Control Law for Multiple Synchronization of Debalance Rotors In (Andrievsky et al, 2019;Fradkov et al, 2021) the problem of controlled synchronization for unbalanced rotors phase shift is considered. The rotation frequency band is conditionally partitioned into the following ranges:…”

“…The investigations of (Andrievsky et al, 2019) were continued in (Fradkov et al, 2021), where the problem of synthesis and analysis of vibration fields is con-sidered and it is shown that the vibration field of the two-rotor vibration system depends on the coordinates of the points of fastening of the rotors, the mass of the debalances and the steady phase difference of the debalances provided they are in stable synchronous rotation mode. The control law of (Andrievsky et al, 2019;Fradkov et al, 2021) is of a bidirectional form, where the rotation velocity of each actuator is controlled independently of the other one by means of its separated PI-controller with adding the symmetrical cross-coupling between the control loops, produced by the joint phase-shift PI-controller. The control law of (Andrievsky et al, 2019;Fradkov et al, 2021) is borrowed in the present paper aiming to produce the multiple synchronization of the rotors with a given normalized phase shift ψ * .…”

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

“…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.…”