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A Comparison between Integer and Fractional Order PDμ Controllers for Vibration Suppression

Isabela R. Birs

Isabela R. Birs

Technical University of Cluj-Napoca, Department of AutomationCluj-Napoca, Romania
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Birs, Isabela R.
, 
Cristina I. Muresan

Cristina I. Muresan

Technical University of Cluj-Napoca, Department of AutomationCluj-Napoca, Romania
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Muresan, Cristina I.
, 
Silviu Folea

Silviu Folea

Technical University of Cluj-Napoca, Department of AutomationCluj-Napoca, Romania
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Folea, Silviu
 and 
Ovidiu Prodan

Ovidiu Prodan

Technical University of Cluj-Napoca, Department of Structural MechanicsCluj-Napoca, Romania
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Prodan, Ovidiu
  
May 23, 2016
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Published Online: May 23, 2016
Page range: 273 - 282
Received: Mar 29, 2016
Accepted: May 17, 2016
DOI: https://doi.org/10.21042/AMNS.2016.1.00022
Keywords
© 2016 Isabela R. Birs, Cristina I. Muresan, Silviu Folea, and Ovidiu Prodan, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Active vibration attenuation in a smart beam.
Active vibration attenuation in a smart beam.

Fig. 2

Active vibration attenuation in a smart beam.
Active vibration attenuation in a smart beam.

Fig. 3

Experimental and simulation of impulse response of the smart beam.
Experimental and simulation of impulse response of the smart beam.

Fig. 4

Bode diagram of the uncompensated structure.
Bode diagram of the uncompensated structure.

Fig. 5

Frequency response of the uncompensated smart beam and of the open loop systems with fractional and integer order PD controllers.
Frequency response of the uncompensated smart beam and of the open loop systems with fractional and integer order PD controllers.

Fig. 6

Closed loop impulse response with the fractional order controller: free impulse response (left), active suppression (center), and zoomed active suppression (right).
Closed loop impulse response with the fractional order controller: free impulse response (left), active suppression (center), and zoomed active suppression (right).

Fig. 7

Closed loop impulse response with the integer order controller: free impulse response (left), active suppression (center), and zoomed active suppression (right).
Closed loop impulse response with the integer order controller: free impulse response (left), active suppression (center), and zoomed active suppression (right).

Fig. 8

Robustness tests performed on the closed loop system with integer (left) and fractional (right) controllers.
Robustness tests performed on the closed loop system with integer (left) and fractional (right) controllers.
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