Design and implementation of an adaptive backstepping controller for a magnetic levitation system

Dynamics of magnetic levitation systems contain high order nonlinearities and uncertainties on the physical parameters. Despite of these uncertainties and nonlinearities, the main purpose of this study is to drive the position tracking error of the ball to zero. In order to achieve this, an adaptive backstepping controller is designed. After deriving the error dynamics and designing the adaptive backstepping controller, adaptation rules are defined for the uncertain model parameters and the gravitational acceleration in the system model. Numerical simulations are performed for different working conditions to test the designed controller and the adaptation rules. In addition to this, the viability of the proposed controller is verified through experimental studies and satisfactory results are obtained.

[1]  Knut Graichen,et al.  Nonlinear model predictive control of a magnetic levitation system , 2013 .

[2]  C.-M. Lin,et al.  SoPC-Based Adaptive PID Control System Design for Magnetic Levitation System , 2011, IEEE Systems Journal.

[3]  Vicente Feliú Batlle,et al.  Nonlinear Control for Magnetic Levitation Systems Based on Fast Online Algebraic Identification of the Input Gain , 2011, IEEE Transactions on Control Systems Technology.

[4]  Jun Wu,et al.  A modeling and control approach to magnetic levitation system based on state-dependent ARX model , 2014 .

[5]  Zi-Jiang Yang,et al.  Robust non-linear output-feedback control of a magnetic levitation system by k-filter approach , 2009 .

[6]  D. Mayne.  Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[7]  L. Marconi,et al.  Balanced robust regulation of a magnetic levitation system , 2005, IEEE Transactions on Control Systems Technology.

[8]  Nawrous Ibrahim Mahmoud.  A Backstepping Design of a Control System for a Magnetic Levitation System , 2003 .

[9]  Hebertt Sira-Ramírez,et al.  Trajectory tracking for the magnetic ball levitation system via exact feedforward linearisation and GPI control , 2010, Int. J. Control.

[10]  Ahmed El Hajjaji,et al.  Modeling and nonlinear control of magnetic levitation systems , 2001, IEEE Trans. Ind. Electron..

[11]  Ahmed Sabah Al-Araji.  Cognitive non-linear controller design for magnetic levitation system , 2016 .

[12]  Andreas Kugi,et al.  A novel robust position estimator for self-sensing magnetic levitation systems based on least squares identification , 2011 .

[13]  Hsin-Jang Shieh,et al.  A robust optimal sliding‐mode control approach for magnetic levitation systems , 2010 .

[14]  Wei Zhou,et al.  Backstepping Based Nonlinear Adaptive Control of Magnetic Levitation System with Unknown Disturbances , 2013, 2013 5th International Conference on Intelligent Human-Machine Systems and Cybernetics.

[15]  He Chen,et al.  Tracking control for magnetic-suspension systems with online unknown mass identification , 2017 .

[16]  Jerzy Baranowski,et al.  Observer-based feedback for the magnetic levitation system , 2012 .

[17]  Adrian-Vasile Duka.  Modelling of an electromagnetic levitation system using a neural network , 2010, 2010 IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR).

[18]  Faa-Jeng Lin,et al.  Intelligent Adaptive Backstepping Control System for Magnetic Levitation Apparatus , 2007, IEEE Transactions on Magnetics.

[19]  Saeed Pezeshki,et al.  A new model-free adaptive controller versus non-linear H∞ controller for levitation of an electromagnetic system , 2013 .

[20]  Wei Zhou,et al.  Backstepping Based Adaptive Control of Magnetic Levitation System , 2013 .

[21]  P. Pranayanuntana,et al.  Nonlinear backstepping control design applied to magnetic ball control , 2000, 2000 TENCON Proceedings. Intelligent Systems and Technologies for the New Millennium (Cat. No.00CH37119).

[22]  Boris Tovornik,et al.  Modeling and control of the magnetic suspension system. , 2003, ISA transactions.

[23]  Zi-Jiang Yang,et al.  Robust Nonlinear Control of a Feedback Linearizable Voltage-Controlled Magnetic Levitation System , 2001 .