Fuzzy dynamic output feedback control with adaptive rotor imbalance compensation for magnetic bearing systems

This paper presents a dynamic output feedback control with adaptive rotor-imbalance compensation based on an analytical Takagi-Sugeno fuzzy model for complex nonlinear magnetic bearing systems with rotor eccentricity. The rotor mass-imbalance effect is considered with a linear in the parameter approximator. Through the robust analysis for disturbance rejection, the control law can be synthesized in terms of linear matrix inequalities. Based on the suggested fuzzy output feedback design, the controller may be much easier to implement than conventional nonlinear controllers. Simulation validations show that the proposed robust fuzzy control law can suppress the rotor imbalance-induced vibration and has excellent capability for high-speed tracking and levitation control.

[1]  Kevin M. Passino,et al.  Stable Adaptive Control and Estimation for Nonlinear Systems , 2001 .

[2]  John J. Craig,et al.  Introduction to Robotics Mechanics and Control , 1986 .

[3]  Han Ho Choi,et al.  Variable structure output feedback control design for a class of uncertain dynamic systems , 2002, Autom..

[4]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[5]  Lih-Chang Lin,et al.  Stable fuzzy control with adaptive rotor imbalance compensation for nonlinear magnetic bearing systems , 2005 .

[6]  C. Scherer,et al.  Multiobjective output-feedback control via LMI optimization , 1997, IEEE Trans. Autom. Control..

[7]  Kazuo Tanaka,et al.  Dynamic output feedback designs for nonlinear systems , 1999, IEEE SMC'99 Conference Proceedings. 1999 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.99CH37028).

[8]  Raoul Herzog,et al.  Unbalance compensation using generalized notch filters in the multivariable feedback of magnetic bearings , 1996, IEEE Trans. Control. Syst. Technol..

[9]  Reza Langari,et al.  Fuzzy modeling and control of a nonlinear magnetic bearing system , 1997, Proceedings of the 1997 IEEE International Conference on Control Applications.

[10]  Jian Ma,et al.  Dynamic output feedback controller design for fuzzy systems , 2000, IEEE Trans. Syst. Man Cybern. Part B.

[11]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..

[12]  Yurii Nesterov,et al.  Interior-point polynomial algorithms in convex programming , 1994, Siam studies in applied mathematics.

[13]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[14]  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..

[15]  Kazuo Tanaka,et al.  Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach , 2008 .

[16]  Jin Bae Park,et al.  Robust fuzzy control of nonlinear systems with parametric uncertainties , 2001, IEEE Trans. Fuzzy Syst..

[17]  Jun Ni,et al.  Adaptive Control of Active Balancing Systems for Speed-Varying Rotors Using Feedforward Gain Adaptation Technique , 2001 .

[18]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[19]  Lih-Chang Lin,et al.  Fuzzy Modeling and Control for Conical Magnetic Bearings Using Linear Matrix Inequality , 2003, J. Intell. Robotic Syst..

[20]  Kenji Araki,et al.  Stability analysis of self-sensing magnetic bearing controllers , 1996, IEEE Trans. Control. Syst. Technol..

[21]  Bor-Sen Chen,et al.  Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model , 2001, IEEE Trans. Fuzzy Syst..

[22]  Chong-Won Lee,et al.  Dynamic modeling and optimal control of cone-shaped active magnetic bearing systems , 1996 .

[23]  Bor-Sen Chen,et al.  H∞ tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach , 1996, IEEE Trans. Fuzzy Syst..

[24]  Dennis S. Bernstein,et al.  Adaptive autocentering control for an active magnetic bearing supporting a rotor with unknown mass imbalance , 1996, IEEE Trans. Control. Syst. Technol..

[25]  Lih-Chang Lin,et al.  Feedback linearization and fuzzy control for conical magnetic bearings , 1997, IEEE Trans. Control. Syst. Technol..

[26]  B. Shafai,et al.  Magnetic bearing control systems and adaptive forced balancing , 1994, IEEE Control Systems.

[27]  Abdelfatah M. Mohamed,et al.  Conical magnetic bearings with radial and thrust control , 1992 .