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Related Concept Videos

Time and frequency -Domain Interpretation of Phase-lead Control01:24

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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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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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Phase-lead and Phase-lag Controllers01:22

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Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass...
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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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Gain01:15

Gain

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Gain and phase shift are properties of linear circuits that describe the effect a circuit has on a sinusoidal input voltage or current. The circuit's behavior that contains reactive elements will depend on the frequency of the input sinusoid. As a result, it is observed that the gain and phase shift will all be frequency functions.
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Updated: Aug 5, 2025

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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Controller Design and Stability Analysis of Intensification Process using Analytical Exact Gain-Phase Margin

Cheong Sheng Lee1, Syamsul Rizal Abd Shukor2

  • 1School of Chemical Engineering, Universiti Sains Malaysia, Engineering Campus, Seri Ampangan, 14300 Nibong Tebal, S.P.S, Pulau Pinang, Malaysia.

Environmental Science and Pollution Research International
|March 24, 2023
PubMed
Summary

Researchers developed an Exact Gain and Phase Margin (EGPM) controller for intensified processes. This new method offers superior robustness and performance, especially with time delays, outperforming conventional controllers.

Keywords:
Control strategiesGain marginPhase marginProcess controlProcess intensificationStability analysis

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Area of Science:

  • Process Control and Automation
  • Chemical Engineering
  • Systems Engineering

Background:

  • Process intensification aims for sustainable, efficient, and safe operations.
  • Existing controller design methods lack robustness for intensified systems, especially concerning time delays.
  • Gain and phase margin approaches are well-studied for conventional systems but underexplored for intensified ones.

Purpose of the Study:

  • To propose an analytical method, Exact Gain and Phase Margin (EGPM), for designing Proportional-Integral-Derivative (PID) controllers for intensified systems.
  • To evaluate the performance and stability of the EGPM controller against conventional methods like Direct Synthesis (DS) and Internal Model Control (IMC).
  • To assess controller robustness against time delays and system uncertainties in higher-order intensified processes.

Main Methods:

  • Developed the Exact Gain and Phase Margin (EGPM) analytical method for PID controller design.
  • Compared EGPM with Direct Synthesis (DS), Internal Model Control (IMC), and Industrial IMC methods.
  • Analyzed controller performance using setpoint tracking, disturbance rejection, overshoot, and rise time metrics.
  • Assessed stability using the Bode Stability Criterion under increasing time delays and [Formula: see text] uncertainty.

Main Results:

  • EGPM demonstrated superior setpoint tracking and disturbance rejection compared to DS, IMC, and Industrial IMC.
  • EGPM maintained robust control performance and stability as time delay increased, unlike other methods.
  • EGPM outperformed other controllers at higher time delays and with [Formula: see text] uncertainty, showing lower overshoot and faster rise times.

Conclusions:

  • The proposed EGPM controller design is a reliable strategy for intensified processes, especially those with significant time delays and high dynamic responses.
  • EGPM ensures overall robustness and superior control performance for higher-order and complex systems.
  • Recommended gain margin (2.5-4) and phase margin (60°-70°) for robust control in intensified processes with potential for higher instrumentation dynamics.