Adaptive Modified Positive Position Feedback for Active Vibration Control of Structures

2010 ◽  
Vol 21 (6) ◽  
pp. 571-580 ◽  
Author(s):  
S. Nima Mahmoodi ◽  
Mehdi Ahmadian ◽  
Daniel J. Inman
Keyword(s):  
Vibration Control ◽  
Active Vibration Control ◽  
Positive Position Feedback ◽  
Position Feedback ◽  
Active Vibration

Active Vibration Control of a Composite Sandwich Plate

2014 ◽  
Author(s):  
Giovanni Ferrari ◽  
Margherita Capriotti ◽  
Marco Amabili ◽  
Rinaldo Garziera
Keyword(s):  
Free Boundary ◽  
Boundary Conditions ◽  
Vibration Control ◽  
Sandwich Plate ◽  
Fiber Composite ◽  
Active Vibration Control ◽  
Free Boundary Conditions ◽  
Positive Position Feedback ◽  
Position Feedback ◽  
Active Vibration

The active vibration control of a rectangular sandwich plate by Positive Position Feedback is experimentally investigated. The thin walled structure, consisting of carbon-epoxy outer skins and a Nomex paper honeycomb core, has completely free boundary conditions. A detailed linear and nonlinear characterization of the vibrations of the plate was previously performed by our research group [1, 2]. Four couples of unidirectional Macro Fiber Composite (MFC) piezoelectric patches are used as strain sensors and actuators. The positioning of the patches is led by a finite element modal analysis, in the perspective of a modal control strategy aimed at the lowest four natural frequencies of the structure. Numerical and experimental verifications estimate the resulting influence of the control hardware on the modal characteristics of the plate. Experimental values are also extracted for the control authority of the piezoelectric patches in the chosen configuration. Single Input – Single Output (SISO) and MultiSISO Positive Position Feedback algorithms are tested and the transfer function parameters of the controller are tuned according to the previously known values of modal damping. A totally experimental procedure to determine the participation matrices, necessary for the Multiple-Input and Multiple-Output configuration, is developed. The resulting algorithm proves successful in selectively reducing the vibration amplitude of the first four vibration modes in the case of a broadband disturbance. PPF is therefore used profitably on laminated composite plates in conjunction with strain transducers, for the control of the low frequency range up to 100 Hz. The relevant tuning procedure moreover, proves straightforward, despite the relatively high number of transducers. The rigid body motions which arise in case of free boundary conditions do not affect the operation of the active control.

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

2018 ◽  
Vol 37 (4) ◽  
pp. 1125-1133 ◽  
Author(s):  
Erdi Gülbahçe ◽  
Mehmet Çelik
Keyword(s):  
Vibration Control ◽  
Pid Controller ◽  
Natural Frequencies ◽  
Controller Design ◽  
Active Vibration Control ◽  
Simulation Environment ◽  
Positive Position Feedback ◽  
Position Feedback ◽  
Smart Beam ◽  
Active Vibration

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.

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