1. Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: An Adaptive Multi-Objective Controller for Flexible Rotor and Magnetic Bearing Systems J. Dyn. Sys., Meas., Control. 2011;133(3):031003-031003-9. doi:10.1115/1.4003421 Finite element modeling of the flexible rotor Figure Legend:

2. Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: An Adaptive Multi-Objective Controller for Flexible Rotor and Magnetic Bearing Systems J. Dyn. Sys., Meas., Control. 2011;133(3):031003-031003-9. doi:10.1115/1.4003421 Synchronous vibration and transmitted force cost functions as a function of the rotational speed for various controller settings Figure Legend:

3. Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: An Adaptive Multi-Objective Controller for Flexible Rotor and Magnetic Bearing Systems J. Dyn. Sys., Meas., Control. 2011;133(3):031003-031003-9. doi:10.1115/1.4003421 Adaptive weight adjustment block in Fig. Figure Legend:

4. Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: An Adaptive Multi-Objective Controller for Flexible Rotor and Magnetic Bearing Systems J. Dyn. Sys., Meas., Control. 2011;133(3):031003-031003-9. doi:10.1115/1.4003421 Adaptive secondary weight adjustment following a significant sudden change of unbalance at Ω=22 Hz Figure Legend:

5. Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: An Adaptive Multi-Objective Controller for Flexible Rotor and Magnetic Bearing Systems J. Dyn. Sys., Meas., Control. 2011;133(3):031003-031003-9. doi:10.1115/1.4003421 Block diagram of the suggested multi-objective adaptive controller MO-ROLAC Figure Legend:

6. Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: An Adaptive Multi-Objective Controller for Flexible Rotor and Magnetic Bearing Systems J. Dyn. Sys., Meas., Control. 2011;133(3):031003-031003-9. doi:10.1115/1.4003421 Time response of adaptive weight adjustment β at Ω=22 Hz for JY,ref=0.1 Figure Legend:

7. Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: An Adaptive Multi-Objective Controller for Flexible Rotor and Magnetic Bearing Systems J. Dyn. Sys., Meas., Control. 2011;133(3):031003-031003-9. doi:10.1115/1.4003421 Adaptive weight adjustment following a sudden change of unbalance at Ω=22 Hz Figure Legend:

8. Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: An Adaptive Multi-Objective Controller for Flexible Rotor and Magnetic Bearing Systems J. Dyn. Sys., Meas., Control. 2011;133(3):031003-031003-9. doi:10.1115/1.4003421 Base scaling ratio as a function of rotational frequency Figure Legend:

9. Date of download: 7/11/2016 Copyright © ASME. All rights reserved. From: An Adaptive Multi-Objective Controller for Flexible Rotor and Magnetic Bearing Systems J. Dyn. Sys., Meas., Control. 2011;133(3):031003-031003-9. doi:10.1115/1.4003421 Optimum weight adjustments as a function of rotational speed for JY,ref=0.15 Figure Legend: