Partial pole assignment with time delays for asymmetric systems



Ariyatanapol, Rittirong, Xiong, YP and Ouyang, Huajiang
(2018) Partial pole assignment with time delays for asymmetric systems. ACTA MECHANICA, 229 (6). pp. 2619-2629.

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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.

Item Type: Article
Uncontrolled Keywords: 40 Engineering, 4901 Applied Mathematics, 4007 Control Engineering, Mechatronics and Robotics, 49 Mathematical Sciences, 4010 Engineering Practice and Education
Depositing User: Symplectic Admin
Date Deposited: 11 May 2018 09:59
Last Modified: 21 Jun 2024 01:29
DOI: 10.1007/s00707-018-2118-2
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3021165