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Active vibration suppression of non-linear beams using optimal dynamic inversion

Ali, Sk Faruque and Padhi, R (2009) Active vibration suppression of non-linear beams using optimal dynamic inversion. In: Proceedings of the Institution of Mechanical Engineers - Part I: Journal of Systems & Control Engineering, 223 (I5). pp. 657-672.

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Abstract

Euler–Bernoulli beams are distributed parameter systems that are governed by a non-linear partial differential equation (PDE) of motion. This paper presents a vibration control approach for such beams that directly utilizes the non-linear PDE of motion, and hence, it is free from approximation errors (such as model reduction, linearization etc.). Two state feedback controllers are presented based on a newly developed optimal dynamic inversion technique which leads to closed-form solutions for the control variable. In one formulation a continuous controller structure is assumed in the spatial domain, whereas in the other approach it is assumed that the control force is applied through a finite number of discrete actuators located at predefined discrete locations in the spatial domain. An implicit finite difference technique with unconditional stability has been used to solve the PDE with control actions. Numerical simulation studies show that the beam vibration can effectively be decreased using either of the two formulations.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Professional Engineering Publishing.
Keywords: dynamic inversion;optimal dynamic inversion;non-linear structural control;non-linear beams;Euler-Bernoulli beams.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Division of Mechanical Sciences > Civil Engineering
Date Deposited: 05 Oct 2009 12:54
Last Modified: 19 Sep 2010 05:45
URI: http://eprints.iisc.ernet.in/id/eprint/23253

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