Balanced robust regulation of a magnetic levitation system

In this brief, we consider the problem of disturbance suppression for a magnetic levitation system in presence of physical uncertainties. The problem is cast as a nonlinear regulation problem in presence of input constraint and an internal model-based regulator is designed. A control law which does not rely upon complementarity or relaxed complementarity conditions is proposed and compared, from an energetic viewpoint, with complementary control strategies usually presented in literature. Simulation results are presented to confirm the effectiveness of the design.

[1]  C. Byrnes.  Output Regulation of Uncertain Nonlinear Systems , 1997 .

[2]  Sergey V. Drakunov,et al.  A sliding mode observer and controller for stabilization of rotational motion of a vertical shaft magnetic bearing , 1996, IEEE Trans. Control. Syst. Technol..

[3]  Jean Lévine,et al.  A nonlinear approach to the control of magnetic bearings , 1996, IEEE Trans. Control. Syst. Technol..

[4]  E. Collins,et al.  Introduction to the Special Issue on Magnetic Bearing Control [Guest Editorial] , 1996 .

[5]  Eduardo Sontag,et al.  On Finite-Gain Stabilizability of Linear Systems Subject to Input Saturation , 1996 .

[6]  Ali Charara,et al.  Nonlinear control of a magnetic levitation system without premagnetization , 1996, IEEE Trans. Control. Syst. Technol..

[7]  R. Ortega,et al.  Feedback Linearization, Integrator Backstepping and Passivity-Based Controller Designs: A Comparison Example , 1998 .

[8]  Andrew G. Alleyne,et al.  Control of a class of nonlinear systems subject to periodic exogenous signals , 1997, IEEE Trans. Control. Syst. Technol..

[9]  D. L. Trumper,et al.  Linearizing control of magnetic suspension systems , 1997, IEEE Trans. Control. Syst. Technol..

[10]  Darren M. Dawson,et al.  Nonlinear control of active magnetic bearings: a backstepping approach , 1996, IEEE Trans. Control. Syst. Technol..

[11]  Panagiotis Tsiotras,et al.  Low-bias control of AMBs subject to saturation constraints , 2000, Proceedings of the 2000. IEEE International Conference on Control Applications. Conference Proceedings (Cat. No.00CH37162).

[12]  Masayuki Fujita,et al.  Application of gain scheduled H∞ robust controllers to a magnetic bearing , 1996, IEEE Trans. Control. Syst. Technol..

[13]  L. Praly,et al.  Adaptive eccentricity compensation , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[14]  A. Teel.  A nonlinear small gain theorem for the analysis of control systems with saturation , 1996, IEEE Trans. Autom. Control..

[15]  Lorenzo Marconi,et al.  Robust nonlinear disturbance suppression of a magnetic levitation system , 2003, Autom..