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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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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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A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
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Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...
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Optimal Fractional-Order Active Disturbance Rejection Controller Design for PMSM Speed Servo System.

Pengchong Chen1, Ying Luo1, Yibing Peng1

  • 1School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430070, China.

Entropy (Basel, Switzerland)
|March 6, 2021
PubMed
Summary
This summary is machine-generated.

A new fractional-order active disturbance rejection controller (FOADRC) enhances permanent magnet synchronous motor (PMSM) speed control. This FOADRC offers superior tracking and disturbance rejection compared to traditional controllers.

Keywords:
ADRC designPMSM speed servofractional-order controlfrequency-domain specificationstime-domain performance

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Area of Science:

  • Control Systems Engineering
  • Electrical Engineering
  • Robotics

Background:

  • Permanent Magnet Synchronous Motors (PMSM) are crucial in modern servo systems.
  • Existing controllers like PID and Integer-Order ADRC face challenges in achieving optimal speed tracking and disturbance rejection.
  • Fractional-order control offers potential for improved system performance.

Purpose of the Study:

  • To propose a novel Fractional-Order Active Disturbance Rejection Controller (FOADRC) for PMSM speed servo systems.
  • To develop an optimal tuning strategy for the FOADRC applicable to both fractional-order and integer-order systems.
  • To evaluate the performance enhancement of FOADRC against traditional controllers.

Main Methods:

  • The proposed FOADRC integrates a Fractional-Order Proportional Derivative (FOPD) controller with an Extended State Observer (ESO).
  • The D-decomposition method was used to determine the global stable region for observer bandwidth.
  • An optimal tuning strategy was developed to satisfy both frequency-domain and time-domain performance indicators.

Main Results:

  • The FOADRC demonstrated significantly improved speed tracking performance compared to IOADRC and PID controllers.
  • The proposed controller exhibited enhanced robustness against external load disturbances.
  • Quantitative analysis showed substantial reductions in the Just-In-Time Average Error (JITAE) for both tracking and disturbance rejection.

Conclusions:

  • The developed FOADRC provides superior speed tracking and disturbance rejection capabilities for PMSM systems.
  • The optimal tuning strategy effectively enhances controller performance for both FOADRC and IOADRC.
  • FOADRC represents a promising advancement over conventional control methods for PMSM applications.