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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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Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
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Related Experiment Video

Updated: Mar 2, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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Compensating Unknown Time-Varying Delay in Opto-Electronic Platform Tracking Servo System.

Ruihong Xie1,2, Tao Zhang3, Jiaquan Li4

  • 1Graduate University of Chinese Academy of Sciences, Beijing 100039, China. lxieruihong@163.com.

Sensors (Basel, Switzerland)
|May 10, 2017
PubMed
Summary
This summary is machine-generated.

This study presents a novel method to compensate for miss-distance delay in opto-electronic tracking systems. The feed-forward forecasting controller effectively reduces root-mean-square error during light-of-sight motion tracking.

Keywords:
Markovian processfeed-forward forecastingmiss-distanceopto-electronic platformrobust H∞ controllertracking servo systemunknown time-varying delay

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Area of Science:

  • Control Systems Engineering
  • Opto-electronic Systems
  • Robotics

Background:

  • Opto-electronic platforms require precise tracking, but are susceptible to miss-distance delay.
  • Time-varying delays in light-of-sight (LOS) motion complicate servo system performance.

Purpose of the Study:

  • To develop and validate a method for compensating unknown time-varying delays in opto-electronic platform tracking servo systems.
  • To improve the accuracy and robustness of tracking servo systems under dynamic conditions.

Main Methods:

  • A Markovian process model was established to characterize LOS motion.
  • A feed-forward forecasting controller utilizing robust H∞ control was designed.
  • Simulations employed a double closed-loop Proportion Integration (PI) control system.

Main Results:

  • The proposed controller effectively compensated for unknown time-varying delays.
  • Simulations demonstrated the method's efficacy in delay compensation.
  • Experimental tracking of a 10° 0.2 Hz signal achieved a root-mean-square (RMS) error of 1.253 mrad.

Conclusions:

  • The robust H∞ feed-forward forecasting controller is a viable solution for miss-distance delay compensation.
  • The method significantly enhances the tracking performance of opto-electronic platforms.