KEYWORDS: Control systems, Actuators, Finite element methods, Mathematical modeling, Matrices, Prototyping, Control systems design, Computing systems, Systems modeling, Feedback control
This work deals with the problem of the active unbalance control in an asymmetrical rotor-bearing system with two
disks supported by an active suspension based on two lateral linear actuators. For the analysis and control synthesis a
mathematical model is developed using Finite Element Methods (FEM). A linear quadratic regulator (LQR) is applied in
order to minimize the displacements of the two disks by means of the application of an active bearing with control forces
provided by an arrangement of two linear actuators. The control scheme is designed to attenuate the overall system
response in the natural frequencies (resonances), taking into account the unbalance response associated to both disks and
shaft and, hence, controlling the system performance during the first modes. To do this, a Luenberger type observer is
used to estimate those not measurable states from the displacements in only one shaft point and, therefore, making
possible the synthesis of an optimal LQR control based on the estimated state feedback. The control forces obtained
from LQR control are introduced to the mathematical model of actuators and taking into account their dynamics, we get
the voltage inputs necessary to provide the unbalance compensation forces. The proposed control scheme is proved by numerical results and then, validated experimentally on a test rig which was designed and constructed. Numerical and experimental results show significant reductions in the unbalance response of the overall system.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.