Optimal Control of a Smart Beam by Using a Luenberger Observer

2013-06-26
This paper presents the design of an optimal vibration control mechanism, namely an LQR controller, with a Luenberger observer for a smart beam having surface bonded piezoelectric sensors and actuators. The approach intends to suppress the vibrations of the first flexural resonance of the smart beam. The smart beam studied was a cantilever aluminium beam with eight surface bonded Lead-Zirconate-Titanate (PZT) patches in bimorph configuration. 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 design of the controller was achieved by combining the optimal control law, architecture of Luenberger observer and inverse dynamic model of the smart beam. The verification of the developed controller was proved through the time and frequency domain responses and it was successfully shown that the intended target was achieved.

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Citation Formats
C. Onat, M. Şahin, and Y. Yaman, “Optimal Control of a Smart Beam by Using a Luenberger Observer,” 2013, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/76911.