TY  - JOUR
T1  - H2, Hinfinity and H2/Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator
AU  - Bolat, Fevzi Çakmak
AU  - Sivrioğlu, Selim
PY  - 2017
DA  - October
DO  - 10.18100/ijamec.2017331880
JF  - International Journal of Applied Mathematics Electronics and Computers
PB  - PLUSBASE AKADEMİ ORGANİZASYON VE DANIŞMANLIK
WT  - DergiPark
SN  - 2147-8228
SP  - 53
EP  - 61
VL  - 5
IS  - 3
LA  - en
AB  - 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.
KW  - Robust control
KW  - elastic beam vibrations
KW  - active vibrations control
KW  - piezoelectric actuator
CR  - 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
CR  - Fei J. (2005) Active Vibration Control of Flexible Steel Cantilever Beam Using Piezoelectric Actuators. IEEE DOI: 10.1109/SSST.2005.1460873
CR  - 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
CR  - 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.
CR  - 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.
CR  - 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
CR  - Choi SB and Han YM (2010) Piezoelectric actuators: control applications of smart materials: CRC Press.
CR  - 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.,
CR  - 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.
CR  - 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.
CR  - Zhou K, Doyle, JC (1999) Essentials of robust control: Prentice Hall.
CR  - 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
UR  - https://doi.org/10.18100/ijamec.2017331880
L1  - https://dergipark.org.tr/en/download/article-file/519232
ER  -