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Robust control and modal analysis of flexible rotor magnetic bearings system

Mystkowski A.

Archives of Control Sciences

2010

Vol. 20, no. 2

151-163

One-DoF robust control of shaft supported magnetically

Gosiewski Z., Mystkowski A.

Archives of Control Sciences

2006

Vol. 16, no. 3

327-339

The paper presents a robust control of the motion of a shaft supported by magnetic bearings. The dynamics of magnetic suspension systems are characterized by their instability and uncertainly of the plant. Therefore apart from the model of the plant we determined a model of the parametrical uncertainty. The uncertainty is modeled as additive. Current stiffness and displacement stiffness are assumed to be the uncertainty parameters. The performance of the closed-loop system, signals limits, and the disturbances influence are determined with the aid of the weighting functions. Three weighting functions are designed We(S) - penalizing the error signal e, Wu(S) - penalizing the input signal u, and Wy(S) - penalizing the output signal x. For these functions and the uncertainly model we assigned the augmented control model. For the augmented control system we assigned the robust controller. The robust controller assures high quality of control despite of the uncertainty model of the plant, disturbances in the systems, signals limits and high dynamics of the system. Next the H∞ closed-loop system is compared with the standard PID closed-loop system. Finally simulation results show effectiveness of the control system as good initial responses/transient responses and robustness of the designed robust controller.