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Time-Domain Interpretation of PD Control

Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
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Related Experiment Video

Updated: May 28, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

Research on Precision Speed Control of TWUSM Using Discrete-Contact-Model-Based MIW-NMPC.

Yifei Guo1, Kai Jing1, Yuqing Wang1

  • 1School of Electrical Engineering, Hebei University of Technology, Tianjin 300401, China.

Micromachines
|May 27, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a new control scheme for traveling wave ultrasonic motors (TWUSMs) using discrete contact modeling and nonlinear model predictive control (MIW-NMPC). The method improves speed control precision and dynamic response for TWUSM applications.

Keywords:
discrete contact modelingnonlinear model predictive controlprecision speed controltraveling wave ultrasonic motor

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Last Updated: May 28, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

Area of Science:

  • Robotics and Control Systems
  • Mechanical Engineering
  • Applied Physics

Background:

  • Traveling wave ultrasonic motors (TWUSMs) exhibit complex nonlinearities and parameter uncertainties, hindering precise speed control.
  • Existing control methods struggle with efficiency and regulation difficulty due to strong coupling characteristics.

Purpose of the Study:

  • To develop an effective speed regulation scheme for TWUSMs.
  • To address the challenges of nonlinearity, strong coupling, and parameter uncertainty in TWUSM control.

Main Methods:

  • Constructed a discrete contact model for TWUSMs, simplifying complexity while preserving essential dynamics.
  • Designed a monotonically increasing weighted nonlinear model predictive control (MIW-NMPC) algorithm based on the discrete model.
  • Deduced and verified the feasibility and stability of the proposed MIW-NMPC scheme.

Main Results:

  • The discrete-model-based MIW-NMPC scheme significantly enhances the precision of TWUSM speed control.
  • Demonstrated improved dynamic response in TWUSM speed regulation through simulations and experiments.
  • The proposed method offers a novel approach for high-precision speed regulation of TWUSMs.

Conclusions:

  • The developed discrete contact model and MIW-NMPC provide a robust solution for TWUSM speed control.
  • This approach effectively overcomes the limitations of existing control strategies for TWUSMs.
  • The findings pave the way for advanced applications requiring precise speed regulation in TWUSMs.