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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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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
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Resonance Suppression of Servo System Based on State Equalizer Method.

Jinzhao Li1, Yueming Song1, Xiantao Li1

  • 1Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China.

Sensors (Basel, Switzerland)
|September 9, 2022
PubMed
Summary

A novel state equalizer speed closed loop effectively suppresses mechanical resonance in aero-optical stabilization servo control systems. This enhanced proportional integral and disturbance observer (PI+DOB) method improves bandwidth and anti-disturbance capabilities.

Keywords:
mechanical resonancestability controlstate equalizer speed closed loop

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Area of Science:

  • Control Systems Engineering
  • Optical Engineering
  • Mechanical Engineering

Background:

  • Aero-optical stabilization platforms face challenges with mechanical resonance in servo control systems.
  • Traditional proportional integral and disturbance observer (PI+DOB) algorithms struggle to simultaneously address resonance and anti-resonance peaks.

Purpose of the Study:

  • To propose a novel control structure that suppresses mechanical resonance in aero-optical stabilization servo control systems.
  • To enhance the performance and robustness of the servo control system against disturbances and vibrations.

Main Methods:

  • Implementation of a state equalizer speed closed loop combined with the PI+DOB control algorithm.
  • Model compensation using the state equalizer speed closed-loop to improve system dynamics.

Main Results:

  • The new control structure successfully suppresses both resonance and anti-resonance peaks.
  • Experimental results demonstrate a 42% increase in closed-loop bandwidth compared to the traditional PI+DOB algorithm.
  • Significant improvements in anti-disturbance capability and robustness under vibration conditions were observed.

Conclusions:

  • Integrating a state equalizer speed closed loop with PI+DOB control effectively mitigates mechanical resonance.
  • The proposed method enhances servo control system performance, bandwidth, and robustness for aero-optical stabilization platforms.