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Related Concept Videos

Time-Domain Interpretation of PD Control01:07

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.
Consider the example of control of motor torque. Initially, a positive...
Vector Functions and Motion: Problem Solving01:30

Vector Functions and Motion: Problem Solving

Accurate position tracking is fundamental to the safe and effective operation of unmanned aerial vehicles (UAVs), particularly during precision maneuvers near complex structures. In this scenario, a drone is programmed to perform a high-precision inspection of a vertical structure, starting at position ((x, y, z) = (3, 0, 0)), with an initial velocity oriented in the positive z-direction. The trajectory of the drone is governed by a time-dependent acceleration function a(t), which is predefined...
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
Time and frequency -Domain Interpretation of PI Control01:27

Time and frequency -Domain Interpretation of PI Control

Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
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Multimachine Stability01:25

Multimachine Stability

Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
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PD Controller: Design01:26

PD Controller: Design

In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
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Related Experiment Video

Updated: Jul 16, 2026

Operation of the Collaborative Composite Manufacturing (CCM) System
10:09

Operation of the Collaborative Composite Manufacturing (CCM) System

Published on: October 1, 2019

Time-Optimal Trajectory Planning Method for Servo PMSM Based on Short-Term Dynamic Feasible Region Constraint.

Hui Li1, Jianfu Li1,2, Xuewei Xiang1

  • 1State Key Laboratory of Power Transmission Equipment Technology, School of Electrical Engineering, Chongqing University, Chongqing 400044, China.

Sensors (Basel, Switzerland)
|July 15, 2026
PubMed
Summary

This study introduces a novel time-optimal trajectory planning method for servo permanent magnet synchronous motors (SPMSMs). The approach enhances response speed by utilizing short-term dynamic performance within feasible operating regions.

Keywords:
dynamical constraintsjerk and time-optimalservo PMSMtrajectory planning

Related Experiment Videos

Last Updated: Jul 16, 2026

Operation of the Collaborative Composite Manufacturing (CCM) System
10:09

Operation of the Collaborative Composite Manufacturing (CCM) System

Published on: October 1, 2019

Area of Science:

  • Electrical Engineering
  • Control Systems Engineering
  • Robotics

Background:

  • Traditional time-optimal trajectory planning for SPMSMs relies on steady-state characteristics, limiting exploitation of short-term dynamic capabilities.
  • This limitation hinders achieving faster response speeds in applications requiring rapid movements.

Purpose of the Study:

  • To develop a time-optimal trajectory planning method for SPMSMs that leverages short-term dynamic performance.
  • To improve the response speed of SPMSMs by introducing a dynamic feasible region constraint.

Main Methods:

  • Derived a dynamic trapezoidal domain operation boundary considering motor working point, temperature, and trajectory control.
  • Proposed a dynamic constraint method using average thermal power to define torque overload limits based on the short-term dynamic torque-speed boundary.
  • Developed a sequential least squares-based algorithm for time-optimal trajectory optimization to reduce computational load for millisecond-level responses.
  • Calibrated positioning time considering variations in working temperature and angle.

Main Results:

  • The proposed method effectively improves the response speed of SPMSMs.
  • Simulation and experimental results validated the effectiveness of the dynamic constraint and optimization algorithm.
  • The approach successfully accounts for varying working temperatures and angles in trajectory planning.

Conclusions:

  • The novel trajectory planning method enhances SPMSM response speed by utilizing short-term dynamic capabilities.
  • The dynamic feasible region constraint and optimization algorithm are effective for real-time applications.
  • This method offers a significant improvement over traditional approaches for SPMSM trajectory planning.