Active vibration control of a smart beam by a tuner-based PID controller

Abstract

In this study, a tuner-based Proportional-Integral-Derivative controller is proposed to actively control a smart beam. In numerical simulation environment, the performance of the tuner-based PID and a positive position feedback controller in damping the forced vibrations of a smart beam using a piezoelectric actuator are investigated. The finite element method is used to numerically model the smart beam by exporting the state-space matrices that are characterized with regard to the active vibration control loop. Two types of vibration data with sine tones are comprised in order to stimulate behavior of the proposed system. The first one is the composition of the first and second natural frequencies of smart beam. The second one is the composition of the first to the third natural frequencies of smart beam. In the tuner-based PID, controller design tuner toolbox is used to obtain suitable PID coefficients. In this simulation environment active vibration control based on the proposed tuner-based PID and on positive position feedback controllers is studied and compared. Additionally, the controller power consumption levels are determined for the proposed controller design. Numerical results show that the overall tuner-based PID control performance of flexible smart beam system is more effective than the positive position feedback controlled system for forced vibration control. Also, the tuner-based PID controller provides more energy savings than the positive position feedback controller.

Fuzzy logic aided PPF controller design to active vibration control of a flexible beam

“…The numerical and the experimental modal analyses are implemented using the proposed models. The results of the modal analysis are presented in our previous study [24]. The experimental and numerical modal analysis results are close enough to each other.…”

“…The experimental and numerical modal analysis results are close enough to each other. The "SPMWRITE" command [9,24,25] used in calculating the statespace matrices provides a numerical model of the smart beam in ANSYS/Workbench. The numerical model's state-space matrices for the first four modes are calculated based on the modal parameters.…”

“…A second-order transfer function (compensator) is used as positive feedback in the PPF method. Further details on the PPF method are referred [9,24,27,28]. The second-order transfer function of the PPF controller design is…”

“…These are located in the root of the cantilevered flexible beam in a collocated controller design to decrease the structure's free vibrations. However, our previous study [24] included the numerically applied tuner-based PID and a positive position feedback controller for damping the structure's forced vibrations using a piezoelectric actuator. The numerical state-space model is also obtained similar to our previous study [24], using ANSYS/ Workbench software.…”

Active vibration control using piezoelectric actuators employing practical components

“…To test the control theory a proportional controller was applied to the analytical model, with the same concept as the tuner-based PID controller used by Gülbahçe and Çelik (2018), except simplified for the purposes of the experiment. This simplification of the control method is justified within this research as the focus is upon the practicality of the components that are utilized.…”