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Partial pole assignment with time delays for asymmetric systems

Partial pole assignment with time delays for asymmetric systems
Partial pole assignment with time delays for asymmetric systems
Considering both single and multiple time delays, partial pole assignment for stabilising asymmetric systems is exemplifed 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.
partial pole assignment, single and multiple time delays, asymmetric system, friction-induced vibration, aerodynamic flutter, receptance method, unobserability condition, single-input state feedback
0001-5970
2619-2629
Ariyatanapol, Rittirong
2a1ab36b-1ece-48fe-a0a5-6d8769c945a7
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Ouyang, H.
1a48b975-cdc7-47af-896b-ca8727c7d7c1
Ariyatanapol, Rittirong
2a1ab36b-1ece-48fe-a0a5-6d8769c945a7
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Ouyang, H.
1a48b975-cdc7-47af-896b-ca8727c7d7c1

Ariyatanapol, Rittirong, Xiong, Yeping and Ouyang, H. (2018) Partial pole assignment with time delays for asymmetric systems. Acta Mechanica, 229, 2619-2629. (doi:10.1007/s00707-018-2118-2).

Record type: Article

Abstract

Considering both single and multiple time delays, partial pole assignment for stabilising asymmetric systems is exemplifed 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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Accepted/In Press date: 13 November 2017
e-pub ahead of print date: 1 March 2018
Published date: 10 May 2018
Keywords: partial pole assignment, single and multiple time delays, asymmetric system, friction-induced vibration, aerodynamic flutter, receptance method, unobserability condition, single-input state feedback

Identifiers

Local EPrints ID: 416577
URI: https://eprints.soton.ac.uk/id/eprint/416577
ISSN: 0001-5970
PURE UUID: fc089f0c-f420-4a78-a393-4f541d7b62f3
ORCID for Yeping Xiong: ORCID iD orcid.org/0000-0002-0135-8464

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Date deposited: 03 Jan 2018 17:30
Last modified: 14 Mar 2019 05:21

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