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Applied Mathematics and Nonlinear Sciences
Volume 1 (2016): Issue 1 (January 2016)
Open Access
A Comparison between Integer and Fractional Order PD
μ
Controllers for Vibration Suppression
Isabela R. Birs
Isabela R. Birs
,
Cristina I. Muresan
Cristina I. Muresan
,
Silviu Folea
Silviu Folea
and
Ovidiu Prodan
Ovidiu Prodan
| May 23, 2016
Applied Mathematics and Nonlinear Sciences
Volume 1 (2016): Issue 1 (January 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
Vibration Suppression
,
PD controller
,
Fractional Calculus
,
Smart Beam
© 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.
Fig. 2
Active vibration attenuation in a smart beam.
Fig. 3
Experimental and simulation of impulse response of the smart beam.
Fig. 4
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.
Fig. 6
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).
Fig. 8
Robustness tests performed on the closed loop system with integer (left) and fractional (right) controllers.