Optimal PI Controller with Position Feedback for Vibration Suppression

SAGE Publications - Tập 16 Số 13 - Trang 2023-2034 - 2010
Štefan Fenik1, Ladislav Starek1
1Institute of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, Slovak University of Technology, Nám. slobody 17, 812 31, Bratislava 1, Slovakia

Tóm tắt

In vibration control of distributed-parameter mechanical systems the main problem arises from endeavoring to achieve even damping in the desired frequency range and robustness simultaneously. These two important properties usually compromise each other so that more sophisticated techniques are needed to improve the vibration control of large structures. In the case of classical velocity feedback, for example, some kind of low-pass filter should be used to achieve better stability. In the case of position feedback use of dynamic controllers like Positive Position Feedback (PPF) or Linear Quadratic Gaussian (LQG) is an alternative, but considering their low robustness and more complicated design there are no advantages within the control of large structures with variable parameters. The control method suggested in this work, i.e. PI control with position feedback, is based on the fact that integral of the position can replace the velocity sensing with the idea of suppressing the influence of higher frequencies (which are responsible for instability) while phase shift in working low-frequency range remains in desired bounds. Numerical root-loci analysis as well as experimental examples presented in this paper can show that PI control with position feedback is able to add damping to vibrating structure within low-frequency bands at comparable level as velocity feedback can do, but with a smaller influence on higher frequencies.

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Tài liệu tham khảo

10.1002/(SICI)1096-9845(199711)26:11<1169::AID-EQE702>3.0.CO;2-S

10.2514/3.56019

10.1007/BF00932903

10.1006/jsvi.1996.0003

10.1177/1045389X9200300109

10.2514/3.10451

Fenik, S., 2006, Vibration Suppression Using Piezoceramics

Fenik, S., 2007, Journal of Mechanical Engineering, 58, 85

Fenik, S., 2008, Engineering Mechanics - International Journal for Theoretical and Applied Mechanics, 15, 153

10.1080/0020718508961163

10.1080/00207179108953637

10.1106/YX1U-G0G0-HW0U-7DH8

10.1006/jsvi.1997.0999

10.1177/1045389X02013001866

10.1006/jsvi.2000.3031