Micro-positioning of linear piezoelectric motors based on a learning nonlinear PID controller

A learning nonlinear PID controller is developed for vaguely modeled nonlinear systems under significant disturbance and noise. The control scheme is generic in nature, but it is applied specifically to micro-positioning of linear piezoelectric motors. Mathematical models for the piezoelectric motor and the associated friction phenomenon are provided and verified in the simulation and experimental results provided. These results also highlight the good motion control performance achieved from the control scheme.

[1]  M.K. Jouaneh,et al.  Design and characterization of a linear motion piezoelectric micropositioner , 1990, IEEE Control Systems Magazine.

[2]  M. Kurosawa,et al.  Hybrid transducer type ultrasonic motor , 1991, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[3]  Dong-Il Kim,et al.  An iterative learning control method with application for CNC machine tools , 1993, Conference Record of the 1993 IEEE Industry Applications Conference Twenty-Eighth IAS Annual Meeting.

[4]  M. P. Koster.  Linear Piezo Motor , 1993 .

[5]  S. Ueha,et al.  Ultrasonic motors : theory and applications , 1993 .

[6]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[7]  Toshiro Higuchi,et al.  Direct Frictional Driven Surface Acoustic Wave Motor , 1995, Proceedings of the International Solid-State Sensors and Actuators Conference - TRANSDUCERS '95.

[8]  Eiji Shamoto,et al.  Ultraprecision Feed System Based on Walking Drive , 1996 .

[9]  Theodorus J.A. de Vries,et al.  Linear motor motion control using a learning feedworward controller , 1997 .

[10]  Huixing Zhou,et al.  Repetitive control and its application to linear servo unit for CNC machining of elliptical pistons , 1996, Proceedings of the IEEE International Conference on Industrial Technology (ICIT'96).

[11]  Ping Ge,et al.  Tracking control of a piezoceramic actuator , 1996, IEEE Trans. Control. Syst. Technol..

[12]  B. Zhang,et al.  Developing a linear piezomotor with nanometer resolution and high stiffness , 1997 .

[13]  Er-Wei Bai,et al.  Parametrization and adaptive compensation of friction forces , 1997 .

[14]  S. B. Chang,et al.  Submicrometer overshoot control of rapid and precise positioning , 1997 .

[15]  Carlos Canudas de Wit,et al.  Adaptive friction compensation with partially known dynamic friction model , 1997 .

[16]  M. Kümmel,et al.  Theoretical and experimental studies of a piezoelectric ultrasonic linear motor with respect to damping and nonlinear material behaviour , 1998 .

[17]  Guang Feng,et al.  A nonlinear auto-disturbance rejection controller for induction motor , 1998, IECON '98. Proceedings of the 24th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.98CH36200).

[18]  Garnett C. Horner,et al.  A linear piezoelectric motor , 1998 .

[19]  P. R. Belanger,et al.  Robust friction compensator for harmonic drive transmission , 1998, Proceedings of the 1998 IEEE International Conference on Control Applications (Cat. No.98CH36104).

[20]  Yuancan Huang,et al.  Active noise cancellation with a nonlinear control mechanism , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[21]  Lipei Huang,et al.  A robust controller for improving disturbance rejection in speed control of induction motors , 1999, Proceedings of the IEEE 1999 International Conference on Power Electronics and Drive Systems. PEDS'99 (Cat. No.99TH8475).