TY - JOUR
T1 - The vibration control of speed-dependent flexible rotor/magnetic bearing systems using linear matrix inequality gain-scheduled H-∞ design
AU - Schlotter, M
AU - Keogh, Patrick S
N1 - ID number: ISI:000255501500003
PY - 2008/3/1
Y1 - 2008/3/1
N2 - The dynamics of rotor/magnetic bearing systems are speed dependent due to gyroscopic effects and other aerodynamic influences. This paper introduces a linear matrix inequality (LMI)-based design method that enables the speed dependence to be embedded within robust gain-scheduled controllers. By utilizing an augmented plant that closely resembles the physical system, it allows for the formulation of multiple design objectives in a unified framework. In particular, a control design for minimized rotor displacements or bearing transmitted forces is considered and the importance of achieving performance over the whole speed range is addressed. If speed dependence is ignored in the controller design, system instability may occur at particular rotational speeds. However, the LMI-based gain-scheduling approach is shown to maintain closed-loop stability over the full speed range. The results are demonstrated using a system model and through measurements taken from a flexible rotor/magnetic bearing facility.
AB - The dynamics of rotor/magnetic bearing systems are speed dependent due to gyroscopic effects and other aerodynamic influences. This paper introduces a linear matrix inequality (LMI)-based design method that enables the speed dependence to be embedded within robust gain-scheduled controllers. By utilizing an augmented plant that closely resembles the physical system, it allows for the formulation of multiple design objectives in a unified framework. In particular, a control design for minimized rotor displacements or bearing transmitted forces is considered and the importance of achieving performance over the whole speed range is addressed. If speed dependence is ignored in the controller design, system instability may occur at particular rotational speeds. However, the LMI-based gain-scheduling approach is shown to maintain closed-loop stability over the full speed range. The results are demonstrated using a system model and through measurements taken from a flexible rotor/magnetic bearing facility.
UR - http://www.scopus.com/inward/record.url?scp=45949103515&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1243/09596518jsce445
U2 - 10.1243/09596518jsce445
DO - 10.1243/09596518jsce445
M3 - Article
SN - 0959-6518
VL - 222
SP - 97
EP - 107
JO - Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
JF - Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
IS - 2
ER -