Authors: Lazarević, Mihailo
Cajić, Milan 
Mandić, Petar
Sekara, Tomislav
Sun, Hongguang
Karličić, Danilo 
Title: Multi-mode active vibration control of a nanobeam using a non-square MIMO PID controller
Journal: Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017
First page: 57
Last page: 62
Conference: 29th Chinese Control and Decision Conference, CCDC 2017; Kingworld HotelChongqing; China; 28 May 2017 through 30 May 2017
Issue Date: 12-Jul-2017
ISBN: 978-150904656-0
DOI: 10.1109/CCDC.2017.7978066
Abstract: 
In this paper, we suggest a robust non-square MIMO (4×8) PID controller for the multi-mode active vibration damping of a nanobeam. Nanobeam is modeled by using the nonlocal continuum theory of Eringen to consider the small-scale effects and Euler-Bernoulli beam theory. The problem is analyzed for the free vibration case with Heaviside type disturbance of a nanobeam with and without the controller. The proposed system has four inputs and eight outputs, where by using the static decoupling method, decoupled system of four transfer functions is obtained. The controller parameters dependig on one tuning parmeter are designed to suppress the step disturbance on the input without overshooting. All theoretical results are verified with several numerical examples.
Keywords: Active vibration control | MIMO PID controller | Nanobeams | Non-square | Nonlocal theory
Publisher: IEEE
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