Receptance-based partial pole assignment for asymmetric systems using state feedback
Receptance-based partial pole assignment for asymmetric systems using state feedback
Many structures or machines interact with some internal nonconservative forces and present asymmetric systems in which the stiffness and damping matrices are asymmetric. Examples include friction-induced vibration and aeroelastic flutter. Asymmetric systems are prone to flutter instability as a result of the real parts of some poles becoming positive when certain system parameters vary. This paper presents a receptance-based inverse method for assigning a number of complex poles of second-order damped asymmetric systems while keeping other unassigned poles unchanged. It uses state-feedback (active damping and active stiffness) to shift the poles to desired locations where all poles have negative real parts. Receptances at only a small, limited number of degrees-of-freedom of the underlying symmetric system are required. Simulated numerical examples indicate that this is an effective method and is capable of assigning negative real parts to unstable poles to stabilise an otherwise unstable second-order dynamic system
1135-1142
Ghandchi Tehrani, Maryam
c2251e5b-a029-46e2-b585-422120a7bc44
Ouyang, H.
1a48b975-cdc7-47af-896b-ca8727c7d7c1
2012
Ghandchi Tehrani, Maryam
c2251e5b-a029-46e2-b585-422120a7bc44
Ouyang, H.
1a48b975-cdc7-47af-896b-ca8727c7d7c1
Ghandchi Tehrani, Maryam and Ouyang, H.
(2012)
Receptance-based partial pole assignment for asymmetric systems using state feedback.
Journal of Shock and Vibration, 19 (5), .
(doi:10.3233/SAV-2012-0718).
Abstract
Many structures or machines interact with some internal nonconservative forces and present asymmetric systems in which the stiffness and damping matrices are asymmetric. Examples include friction-induced vibration and aeroelastic flutter. Asymmetric systems are prone to flutter instability as a result of the real parts of some poles becoming positive when certain system parameters vary. This paper presents a receptance-based inverse method for assigning a number of complex poles of second-order damped asymmetric systems while keeping other unassigned poles unchanged. It uses state-feedback (active damping and active stiffness) to shift the poles to desired locations where all poles have negative real parts. Receptances at only a small, limited number of degrees-of-freedom of the underlying symmetric system are required. Simulated numerical examples indicate that this is an effective method and is capable of assigning negative real parts to unstable poles to stabilise an otherwise unstable second-order dynamic system
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Published date: 2012
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Signal Processing & Control Grp
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Local EPrints ID: 344494
URI: http://eprints.soton.ac.uk/id/eprint/344494
PURE UUID: 2114446e-70d0-4b2f-9746-636e7c6e7fe9
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Date deposited: 24 Oct 2012 07:56
Last modified: 14 Mar 2024 12:14
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H. Ouyang
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