Robust fuzzy neural network control for linear ceramic motor drive via backstepping design technique

This study presents a robust fuzzy-neural-network (RFNN) control system for a linear ceramic motor (LCM) that is driven by an unipolar switching full-bridge voltage source inverter using LC resonant technique. The structure and operating principle of the LCM are introduced. Since the dynamic characteristics and motor parameters of the LCM are nonlinear and time varying, a RFNN control system is designed based on the hypothetical dynamic model to achieve high-precision position control via the backstepping design technique. In the RFNN control system a fuzzy neural network (FNN) controller is used to learn an ideal feedback linearization control law, and a robust controller is designed to compensate the shortcoming of the FNN controller. All adaptive learning algorithms in the RFNN control system are derived from the sense of Lyapunov stability analysis, so that system-tracking stability can be guaranteed in the closed-loop system. The effectiveness of the proposed RFNN control system is verified by experimental results in the presence of uncertainties. In addition, the advantages of the proposed control system are indicated in comparison with the traditional integral-proportional (IP) position control system.

[1]  Nikola K. Kasabov,et al.  HyFIS: adaptive neuro-fuzzy inference systems and their application to nonlinear dynamical systems , 1999, Neural Networks.

[2]  Karl Johan Åström,et al.  Adaptive Control , 1989, Embedded Digital Control with Microcontrollers.

[3]  Rong-Jong Wai,et al.  A supervisory fuzzy neural network control system for tracking periodic inputs , 1999, IEEE Trans. Fuzzy Syst..

[4]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[5]  M. Aoyagi,et al.  Ultrasonic Motors Using Longitudinal and Bending Multimode Vibrators with Mode Coupling by Externally Additional Asymmetry or Internal Nonlinearity , 1992 .

[6]  Chin-Teng Lin,et al.  Neural fuzzy systems , 1994 .

[7]  Faa-Jeng Lin Real-time IP position controller design with torque feedforward control for PM synchronous motor , 1997, IEEE Trans. Ind. Electron..

[8]  D.G. Taylor,et al.  Nonlinear control of electric machines: an overview , 1994, IEEE Control Systems.

[9]  N.W. Hagood,et al.  Modeling of a piezoelectric rotary ultrasonic motor , 1995, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[10]  Kuo-Kai Shyu,et al.  Nonlinear sliding-mode torque control with adaptive backstepping approach for induction motor drive , 1999, IEEE Trans. Ind. Electron..

[11]  R. Fung,et al.  Comparison of sliding-mode and fuzzy neural network control for motor-toggle servomechanism , 1998 .

[12]  Abraham Kandel,et al.  Compensatory neurofuzzy systems with fast learning algorithms , 1998, IEEE Trans. Neural Networks.

[13]  M. Aoyagi,et al.  Ultrasonic Rotary Motor Using Longitudinal and Bending Multimode Vibrator with Mode Coupling Caused by External Additional Asymmetry , 1993 .

[14]  Yih-Guang Leu,et al.  Robust adaptive fuzzy-neural controllers for uncertain nonlinear systems , 1999, IEEE Trans. Robotics Autom..

[15]  Yih-Guang Leu,et al.  Observer-based adaptive fuzzy-neural control for unknown nonlinear dynamical systems , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[16]  Toshiiku Sashida,et al.  An Introduction to Ultrasonic Motors , 1994 .

[17]  P.V. Kokotovic,et al.  The joy of feedback: nonlinear and adaptive , 1992, IEEE Control Systems.

[18]  Faa-Jeng Lin,et al.  Driving circuit for ultrasonic motor servo drive with variable-structure adaptive model-following control , 1997 .

[19]  Chang Chieh Hang,et al.  The min-max function differentiation and training of fuzzy neural networks , 1996, IEEE Trans. Neural Networks.

[20]  Y. Tomikawa,et al.  Thin Rotary and Linear Ultrasonic Motors Using a Double-Mode Piezoelectric Vibrator of the First Longitudinal and Second Bending Modes , 1992 .

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

[22]  I. Kanellakopoulos,et al.  Systematic Design of Adaptive Controllers for Feedback Linearizable Systems , 1991, 1991 American Control Conference.

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

[24]  W.-S. Lin,et al.  Neurofuzzy-model-following control of MIMO nonlinear systems , 1999 .

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