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Nonlinear Hammerstein model of ultrasonic motor for position control using differential evolution algorithm.

Song Lu1, Shi Jingzhuo1

  • 1Henan University of Science and Technology, Luoyang 471023, China.

Ultrasonics
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PubMed
Summary
This summary is machine-generated.

This study presents a nonlinear Hammerstein model for ultrasonic motors (USM) to accurately capture their complex dynamics. The proposed modeling approach, utilizing differential evolution, enhances control system performance for USMs.

Keywords:
Differential evolution algorithmHammerstein modelIdentificationUltrasonic motor

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Area of Science:

  • Robotics and Control Systems
  • Mechanical Engineering
  • Nonlinear System Modeling

Background:

  • Ultrasonic motors (USMs) exhibit complex nonlinear dynamics due to their unique structure and operation, challenging traditional modeling techniques.
  • Accurate modeling is crucial for effective analysis and control of USMs, especially for applications requiring precise position control.
  • Existing modeling methods struggle to adequately represent the strong nonlinearities inherent in USM behavior.

Purpose of the Study:

  • To establish a nonlinear Hammerstein model for ultrasonic motors (USMs) that effectively characterizes their complex dynamics.
  • To adapt the USM model for position control applications by defining driving frequency as input and rotor position as output.
  • To enhance the accuracy and efficiency of the USM modeling process.

Main Methods:

  • Development of a nonlinear Hammerstein model specifically tailored for ultrasonic motors.
  • Integration of model identification techniques with the differential evolution algorithm for parameter estimation.
  • Selection of driving frequency and rotor position as key input and output variables for the Hammerstein model.

Main Results:

  • The established nonlinear Hammerstein model accurately represents the dynamics of the ultrasonic motor.
  • Model identification using the differential evolution algorithm proved efficient and effective.
  • Validation against experimental data confirmed the accuracy of the model and the proposed modeling methodology.

Conclusions:

  • The nonlinear Hammerstein model provides a superior representation of ultrasonic motor dynamics compared to traditional methods.
  • The differential evolution-based identification approach is a valid and accurate technique for modeling USMs.
  • The developed model is suitable for implementing position control strategies for ultrasonic motors.