Adaptive Approach to Motion Controller of Linear Induction Motor with Friction Compensation

In this paper, we propose a nonlinear adaptive controller and an adaptive backstepping controller for linear induction motors to achieve position tracking. A nonlinear transformation is proposed to facilitate controller design. In addition, the very unique end effect of the linear induction motor is also considered and is well taken care of in our controller design. We also consider the effect of friction dynamics and employ observer-based compensation to cope with the friction force. A stability analysis based on Lyapunov theory is also performed to guarantee that the controller design here can stabilize the system. Also, the computer simulations and experiments are conducted to demonstrate the performance of our various controller design.

[1]  S. Yamamura Theory of Linear Induction Motors , 1972 .

[2]  Paul C. Krause,et al.  Analysis of electric machinery , 1987 .

[3]  A. Shanmugasundaram,et al.  Control of compensation in linear induction motors , 1988 .

[4]  S. Sastry,et al.  Adaptive Control: Stability, Convergence and Robustness , 1989 .

[5]  Graham E. Dawson,et al.  LIM dynamic performance assessment from parameter identification , 1993, Conference Record of the 1993 IEEE Industry Applications Conference Twenty-Eighth IAS Annual Meeting.

[6]  Carlos Canudas de Wit,et al.  A new model for control of systems with friction , 1995, IEEE Trans. Autom. Control..

[7]  K. Astrom,et al.  Friction generated limit cycles , 1996, Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Contro.

[8]  G.A. Simone,et al.  Dynamic behaviour of a linear induction motor , 1998, MELECON '98. 9th Mediterranean Electrotechnical Conference. Proceedings (Cat. No.98CH36056).

[9]  D. Dolinar,et al.  Calculation of the linear induction motor model parameters using finite elements , 1998 .

[10]  D. Hyun,et al.  Dynamic characteristic analysis of vector controlled LIM by finite element method and experiment , 1998, Conference Record of 1998 IEEE Industry Applications Conference. Thirty-Third IAS Annual Meeting (Cat. No.98CH36242).

[11]  B. Kwon,et al.  Finite element analysis of direct thrust-controlled linear induction motor , 1999 .

[12]  Kwanghee Nam,et al.  A new approach to vector control for a linear induction motor considering end effects , 1999, Conference Record of the 1999 IEEE Industry Applications Conference. Thirty-Forth IAS Annual Meeting (Cat. No.99CH36370).

[13]  Jacek F. Gieras,et al.  Performance analysis of a shaded-pole linear induction motor using symmetrical components, field analysis, and finite element method , 1999 .

[14]  Ioannis Kanellakopoulos,et al.  Adaptive nonlinear friction compensation with parametric uncertainties , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[15]  D. Ebihara,et al.  SIMPLE END EFFECT COMPENSATOR FOR LINEAR INDUCTION MOTOR X-Y LINEAR SYNCHRONOUS MOTOR WITHOUT FORCE RIPPLE AND CORE LOSS FOR PRECISION TWO-DIMENSIONAL DRIVE , 2002 .

[16]  Faa-Jeng Lin,et al.  Adaptive backstepping control for linear induction motor drive to track periodic references , 2000 .

[17]  Prabhakar R. Pagilla,et al.  Static and dynamic friction compensation in trajectory tracking control of robots , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[18]  A. Doroudi,et al.  Obtaining the operating characteristics of linear induction motors: a new approach , 2002 .

[19]  Rong-Jong Wai,et al.  Adaptive backstepping control using recurrent neural network for linear induction motor drive , 2002, IEEE Trans. Ind. Electron..

[20]  Li-Chen Fu,et al.  Sensorless speed tracking of induction motor with unknown torque based on maximum power transfer , 2002, IEEE Trans. Ind. Electron..

[21]  A. Shoulaie,et al.  Online control of thrust and flux in linear induction motors , 2003 .

[22]  P. Pagilla,et al.  Adaptive controller and observer design for a class of nonlinear systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[23]  Rong-Jong Wai,et al.  Nonlinear control for linear induction motor servo drive , 2003, IEEE Trans. Ind. Electron..

[24]  P. Pagilla,et al.  Adaptive Controller and Observer Design for a Class of Nonlinear Systems , 2006 .

[25]  Isamu Takahashi,et al.  Decoupling control of thrust and attractive force of a LIM using a space vector control inverter. [Linear Induction Motor] , 2009 .