Acta Mechanica

, Volume 229, Issue 6, pp 2619–2629 | Cite as

Partial pole assignment with time delays for asymmetric systems

  • Rittirong Ariyatanapol
  • Y.P. Xiong
  • Huajiang Ouyang
Open Access
Original Paper
  • 108 Downloads

Abstract

Considering both single and multiple time delays, partial pole assignment for stabilising asymmetric systems is exemplified by friction-induced vibration and aerodynamic flutter. The control strategy is a single-input state feedback including constant time delays in the feedback loop. An unobservability condition is considered to assign some poles while keeping others unchanged. The receptance method is applied to avoid modelling errors from evaluating mass, damping and stiffness matrices by the finite element method. The solution is formulated in linear equations which allow determination of control gains. The stability of the closed-loop system is analysed by evaluating the first few dominant poles and determining a critical time delay. The numerical study shows that the proposed method is capable of making partial pole assignment with time delays. Since many structures and systems with non-conservative forces can be represented by asymmetric systems, this approach is widely applicable for vibration control of engineering structures.

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© The Author(s) 2018

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Faculty of Engineering and the Environment, Fluid-Structure Interaction Research Group, Boldrewood Innovation CampusUniversity of SouthamptonSouthamptonUK
  2. 2.School of EngineeringUniversity of LiverpoolLiverpoolUK

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