Semi‐active reduction of vibrations in the mechanical system driven by an electric motor

Abstract

Summary In this paper, a semi‐active damping approach is used for reduction of vibrations in a laboratory drivetrain system. The considered drivetrain system is powered by an electric, asynchronous motor at the one side and loaded with a harmonically varying torque on the other side. Here, an influence of electromechanical interaction, i.e., an electromechanical coupling, between the electric motor and the mechanical system has been taken into consideration. The harmonic load signal induces torsional vibrations in the system, which in the steady‐state phase of motion become periodic. The aim of the work is to determine the optimal control function for a semi‐active damping element, leading to vibration reduction and considering only the steady‐state phase of system motion. The optimal control is derived by using a semi‐analytical approach based on the optimal control theory aided with supplementary numerical computations. The proposed methodology is fully general, and it can be directly applied to any type of a periodically oscillating system.

Multi‐input control design for a constrained bilinear biquadratic regulator with external excitation

“…Bilinear state‐space models are simple nonlinear dynamic models that appear in approximations of nonlinear systems and in many practical modern control problems . Examples for application of bilinear models can be found in various fields, such as quantum mechanics, chaotic dynamics, biology, and mechanical damping . On the one hand, their nonlinear nature turns the control design into a nonlinear one.…”

“…Among the different available control design approaches, optimal design is an appealing one as it provides design solution that can be considered as the “best” in some sense . Such a solution has a clear engineering advantage.…”

“…4 Examples for application of bilinear models can be found in various fields, such as quantum mechanics, 4 chaotic dynamics, 5 biology, [6][7][8] and mechanical damping. [9][10][11][12] On the one hand, their nonlinear nature turns the control design into a nonlinear one. On other hand, their simplicity facilitates the use of some techniques and procedures from linear control in their analysis and manipulation.…”

“…13 Among the different available control design approaches, optimal design is an appealing one as it provides design solution that can be considered as the "best" in some sense. 12 Such a solution has a clear engineering advantage. Different types of optimal control problems that consist of bilinear models were addressed by the research community.…”

Neural Network Based Vibration Control of Seismically Excited Civil Structures

“…Examples of semi-active methods are presented in the paper by Lee at al. (2006) [6], where the authors utilized a magnetorheological damper to reduce vibration of an 8-story steel braced building, or in the paper by Michajlow et al (2017) [7], where an electric motor was used to attenuate vibration of a rotating mechanical structure.…”