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

Fevzi Çakmak BOLAT, Selim Sivrioğlu
  • Selim Sivrioğlu
    Gebze Technical University, Turkey

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

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Submitted: 2017-05-02 16:27:16
Published: 2017-10-01 22:59:29
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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

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