Design of an LPV Based Fractional Controller for the Vibration Suppression of a Smart Beam

Onat, Cem
Şahin, Melin
Yaman, Yavuz
Eswar, Prasad
Saılu, Nemana
One of the major problems encountered in the active vibration control of aircraft wings is the changing mass due to the in-flight fuel consumption. In this study, a Linear Parameter Varying (LPV) based fractional controller is designed for the suppression of the flexural vibrations of a smart beam. The designed controller is sensitive to the varying mass properties. The smart beam studied was a cantilever aluminium beam with eight surface bonded Lead-Zirconate-Titanate (PZT) patches. The smart beam was excited at its first resonance frequency (approx. at 7 Hz) with a group of piezoelectric actuator patches and the response of the smart beam was monitored from a single piezoelectric sensor patch in order to obtain the necessary experimental frequency response for the system identification. The control strategy was based on the fractional derivation of the measurement signal and filtering that signal by using a developed filter which was designed to characterise the dynamic properties of the first mode of the smart beam. The filter is designed as an LPV filter and is scheduled by the mass of the smart beam. The applications were conducted by attaching different masses to the tip of the smart beam. Both time domain and frequency domain responses were then analysed. It was shown that the designed controller was satisfactorily capable of suppressing the smart beam vibrations even at the presence of varying mass characteristics.
CANSMART2011, International Workshop on Smart Materials & Structures and NDT in Aerospace (2 - 04 Kasım 2011)


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Citation Formats
C. Onat, M. Şahin, Y. Yaman, P. Eswar, and N. Saılu, “Design of an LPV Based Fractional Controller for the Vibration Suppression of a Smart Beam,” presented at the CANSMART2011, International Workshop on Smart Materials & Structures and NDT in Aerospace (2 - 04 Kasım 2011), Montreal, Kanada, 2011, Accessed: 00, 2021. [Online]. Available: