2D and 3D Visualizations of the Mass-Damper-Spring Model Dynamics Controlled by a Servo-Controlled Linear Actuator

• Published in: IEEE access Vol. 9; pp. 153012 - 153026
• Main Authors: Kandil, Ali, Hamed, Y. S., Alsharif, Abdullah M., Awrejcewicz, Jan
• Format: Journal Article
• Language: English
• Published: Piscataway The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2021; IEEE
• Subjects: Actuators; Krylov-Bogoliubov averaging perturbation method; Krylov-Bogoliubov method; linear variable differential transformer; Mass-damper-spring model; Perturbation methods; Pneumatics; positive position feedback controller; servo-controlled linear actuator; Servocontrol; Signal processing; Two dimensional models
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2021.3126868

This paper focuses on controlling the dynamics of a mass-damper-spring model via a servo-controlled linear actuator (SCLA). The displacements of the mass are sensed and measured by a linear variable differential transformer (LVDT) whose output electrical signal is proportional with the position of the mass. Furthermore, a positive position feedback (PPF) controller is then provided with this signal to be processed and to generate the suitable control signal. The control signal itself is applied to the actuator which in turn controls the mass position. The whole system dynamical equations for the amplitudes and phases are derived with the aid of Krylov-Bogoliubov averaging perturbation method. 2D and 3D visualizations are included to give the reader a wider aspect of the system behavior before and after control.