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Year 2017, Volume: 5 Issue: 3, 53 - 61, 01.10.2017

Fevzi Çakmak Bolat Selim Sivrioğlu

https://doi.org/10.18100/ijamec.2017331880
Cited By: 1

Abstract

References

  • Stavroulakisa GE, Foutsitzic G, Hadjigeorgiouc E, Marinovad D, Baniotopoulose C.C (2005) Design and robust optimal control of smart beams with application on vibrations suppression. Advances in Engineering Software Volume 36 Issue 11-12: 806–813
  • Fei J. (2005) Active Vibration Control of Flexible Steel Cantilever Beam Using Piezoelectric Actuators. IEEE DOI: 10.1109/SSST.2005.1460873
  • Kai Z, Scorletti G, Ichchou M, Mieyeville F (2013) Robust active vibration control of piezoelectric flexible structures using deterministic and probabilistic analysis. Journal of Intelligent Material Systems and Structures Vol 25(6) 665-679. DOI: 10.1177/1045389X13500574
  • M Sahin, Karadal FM, Yaman Y, Kircali OF, Nalbantoglu V, Ulker FD, Calıskan T (2008) “Smart structures and their applications on active vibration control: Studies in the Department of Aerospace Engineering. METU”. Journal of Electroceramics 20(3-4), pp. 167-174.
  • Sahin M, Aridogan MU (2011) Performance evaluation of piezoelectric sensor/actuator on active vibration control of a smart beam . Journal of Systems and Control Engineering Vol 225, 5, 533-547.
  • Song G, Gu H (2007), Active Vibration Suppression of a Smart Flexible Beam Using a Sliding Mode Based Controller. Journal of Vibration and Control 13(8):1095-1107. DOI: 10.1177/1077546307078752
  • Choi SB and Han YM (2010) Piezoelectric actuators: control applications of smart materials: CRC Press.
  • Sivrioglu S, Tanaka N, Yuksek I (2002) Acoustic power suppression of a panel structure using H∞ output feedback control. Journal of Sound and Vibration 249(5) pp. 885-897.,
  • Nestorovic T, Oveisi A (2015) Robust controller for the vibration suppression of an active piezoelectric beam. 7th ECCOMAS Thematic Conference on Smart Structures and Materials, Portugal, 3-6 June 2015 pp. 978-989.
  • Sivrioglu S, Nonami K (1997) Active Vibration Control by Means of LMI-Based Mixed H2/H∞ State Feedback Control. JSME International Journal Series C 40(2):239-244.
  • Zhou K, Doyle, JC (1999) Essentials of robust control: Prentice Hall.
  • Stavroulakisa GE, Foutsitzic G, Hadjigeorgiouc E, Marinovad D, Baniotopoulose C.C (2005) Design and robust optimal control of smart beams with application on vibrations suppression. Advances in Engineering Software Volume 36 Issue 11-12: 806–813

H2, Hinfinity and H2/Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator

Year 2017, Volume: 5 Issue: 3, 53 - 61, 01.10.2017

Fevzi Çakmak Bolat Selim Sivrioğlu

https://doi.org/10.18100/ijamec.2017331880
Cited By: 1

Abstract

In this research study, vibration of an elastic cantilever beam is suppressed with norm based controllers by using the piezoelectric actuator. Beam like distributed parameter structures have theoretically infinite number of vibration modes and uncontrolled high frequency vibration modes in a control application may be excited by the controller due to spillover effect.  In this paper, H2, Hinfinity ,  and mixed norm objective H2/Hinfinity  controllers are designed by introducing a multiplicative uncertainty which represents unmodeled high-frequency dynamics in the control system. The designed controllers are realized in experiments and performances of the controllers are compared using frequency and time domain responses.

Keywords

Robust control elastic beam vibrations active vibrations control piezoelectric actuator

References

  • Stavroulakisa GE, Foutsitzic G, Hadjigeorgiouc E, Marinovad D, Baniotopoulose C.C (2005) Design and robust optimal control of smart beams with application on vibrations suppression. Advances in Engineering Software Volume 36 Issue 11-12: 806–813
  • Fei J. (2005) Active Vibration Control of Flexible Steel Cantilever Beam Using Piezoelectric Actuators. IEEE DOI: 10.1109/SSST.2005.1460873
  • Kai Z, Scorletti G, Ichchou M, Mieyeville F (2013) Robust active vibration control of piezoelectric flexible structures using deterministic and probabilistic analysis. Journal of Intelligent Material Systems and Structures Vol 25(6) 665-679. DOI: 10.1177/1045389X13500574
  • M Sahin, Karadal FM, Yaman Y, Kircali OF, Nalbantoglu V, Ulker FD, Calıskan T (2008) “Smart structures and their applications on active vibration control: Studies in the Department of Aerospace Engineering. METU”. Journal of Electroceramics 20(3-4), pp. 167-174.
  • Sahin M, Aridogan MU (2011) Performance evaluation of piezoelectric sensor/actuator on active vibration control of a smart beam . Journal of Systems and Control Engineering Vol 225, 5, 533-547.
  • Song G, Gu H (2007), Active Vibration Suppression of a Smart Flexible Beam Using a Sliding Mode Based Controller. Journal of Vibration and Control 13(8):1095-1107. DOI: 10.1177/1077546307078752
  • Choi SB and Han YM (2010) Piezoelectric actuators: control applications of smart materials: CRC Press.
  • Sivrioglu S, Tanaka N, Yuksek I (2002) Acoustic power suppression of a panel structure using H∞ output feedback control. Journal of Sound and Vibration 249(5) pp. 885-897.,
  • Nestorovic T, Oveisi A (2015) Robust controller for the vibration suppression of an active piezoelectric beam. 7th ECCOMAS Thematic Conference on Smart Structures and Materials, Portugal, 3-6 June 2015 pp. 978-989.
  • Sivrioglu S, Nonami K (1997) Active Vibration Control by Means of LMI-Based Mixed H2/H∞ State Feedback Control. JSME International Journal Series C 40(2):239-244.
  • Zhou K, Doyle, JC (1999) Essentials of robust control: Prentice Hall.
  • Stavroulakisa GE, Foutsitzic G, Hadjigeorgiouc E, Marinovad D, Baniotopoulose C.C (2005) Design and robust optimal control of smart beams with application on vibrations suppression. Advances in Engineering Software Volume 36 Issue 11-12: 806–813
There are 12 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Fevzi Çakmak Bolat This is me

Selim Sivrioğlu This is me

Publication Date October 1, 2017
Published in Issue Year 2017 Volume: 5 Issue: 3

Cite

APA Bolat, F. Ç., & Sivrioğlu, S. (2017). H2, Hinfinity and H2/Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator. International Journal of Applied Mathematics Electronics and Computers, 5(3), 53-61. https://doi.org/10.18100/ijamec.2017331880
AMA Bolat FÇ, Sivrioğlu S. H2, Hinfinity and H2/Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator. International Journal of Applied Mathematics Electronics and Computers. October 2017;5(3):53-61. doi:10.18100/ijamec.2017331880
Chicago Bolat, Fevzi Çakmak, and Selim Sivrioğlu. “H2, Hinfinity and H2 Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator”. International Journal of Applied Mathematics Electronics and Computers 5, no. 3 (October 2017): 53-61. https://doi.org/10.18100/ijamec.2017331880.
EndNote Bolat FÇ, Sivrioğlu S (October 1, 2017) H2, Hinfinity and H2/Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator. International Journal of Applied Mathematics Electronics and Computers 5 3 53–61.
IEEE F. Ç. Bolat and S. Sivrioğlu, “H2, Hinfinity and H2/Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator”, International Journal of Applied Mathematics Electronics and Computers, vol. 5, no. 3, pp. 53–61, 2017, doi: 10.18100/ijamec.2017331880.
ISNAD Bolat, Fevzi Çakmak - Sivrioğlu, Selim. “H2, Hinfinity and H2 Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator”. International Journal of Applied Mathematics Electronics and Computers 5/3 (October2017), 53-61. https://doi.org/10.18100/ijamec.2017331880.
JAMA Bolat FÇ, Sivrioğlu S. H2, Hinfinity and H2/Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator. International Journal of Applied Mathematics Electronics and Computers. 2017;5:53–61.
MLA Bolat, Fevzi Çakmak and Selim Sivrioğlu. “H2, Hinfinity and H2 Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator”. International Journal of Applied Mathematics Electronics and Computers, vol. 5, no. 3, 2017, pp. 53-61, doi:10.18100/ijamec.2017331880.
Vancouver Bolat FÇ, Sivrioğlu S. H2, Hinfinity and H2/Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator. International Journal of Applied Mathematics Electronics and Computers. 2017;5(3):53-61.

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