One-DoF robust control of shaft supported magnetically

• Autorzy: Gosiewski Z. , Mystkowski A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

H∞ norm; active magnetic bearings (AMB); robust control; weighting functions

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2006
• Tom: Vol. 16, no. 3
• Strony: 327--339
• Opis fizyczny: Bibliogr. 11 poz., rys., tab.

Twórcy

autor

Gosiewski Z.

autor

Mystkowski A.

• Technical University of Białystok, Mechanical Department, Wiejska 45C, 15-351 Białystok,

Bibliografia

• [1] K. ZHOU RM AND J. C. DOYLE: Essentials of robust control. Prentice Hall, 1998.
• [2] K. ZHOU, J. C. DOYLE and K. GLOVER: Robust and optimal control. Prentice Hall, 1997.
• [3] Z. GOSIEWSKI and K. FALKOWSKI: Multifunctional magnetic bearings. Scientific Library of Aviation Institute, Warsaw, 2003.
• [4] J. C. DOYLE, B. FRANCIS and A TANNENBAUM: Feedback control theory. Macmillan Publishing Co., 1990.
• [5] G. F. FRANKLIN and J. DAVID: Feedback Control of dynamic systems. Prentice Hall, 1997.
• [6] E. LANTTO: Robust control of magnetic bearings in subcritical machines. Dissertation, Helsinki University of Technology, 1999.
• [7] M. ANTILA: Electromechanical properties of radial active magnetic bearings. Dissertation, Helsinki University of Technology, 1998.
• [8] G. BALAS, R. CHIANG, A. PACKARD and A. SAFONOV: Robust control toolbox. MathWorks, 2005.
• [9] A. TEWARI: Modern control design with Matlab and Simulink. Wiley-IEE Press, 2004.
• [10] R. S. SMITH: Model Validation for robust control: An experimental process control application. University of California, Santa Barbara, 1995.
• [11] T. NAMERIKAWA and M. FUJITA: Uncertainty structure and ,u-synthesis of a magnetic suspension system. University of Technology, Kanazawa, T.IEE, 121-C(6), (2001).