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Related Concept Videos

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

Time and frequency -Domain Interpretation of Phase-lead Control

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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.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
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Time and frequency -Domain Interpretation of PI Control01:27

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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.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
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Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

434
Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
434

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Related Experiment Video

Updated: Mar 17, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
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Phase error analysis and compensation for phase shifting profilometry with projector defocusing.

Dongliang Zheng, Feipeng Da, Qian Kemao

    Applied Optics
    |July 28, 2016
    PubMed
    Summary
    This summary is machine-generated.

    This study enhances 3D shape measurement using phase shifting profilometry (PSP) with binary fringe patterns. Adapted algorithms improve phase accuracy, offering better performance for high-speed 3D imaging applications.

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    Area of Science:

    • Optical Metrology
    • 3D Imaging and Reconstruction

    Background:

    • Phase shifting profilometry (PSP) is vital for high-speed 3D shape measurement.
    • Projector defocusing in PSP improves phase quality but reduces fringe contrast.
    • There is a need for efficient PSP methods using binary patterns with slight defocusing.

    Purpose of the Study:

    • To analyze and compare the phase accuracies of classical phase shifting algorithms for PSP.
    • To adapt and evaluate new algorithms for PSP using squared binary patterns.
    • To provide guidance on selecting appropriate algorithms for practical PSP applications.

    Main Methods:

    • Theoretical analysis of phase shifting algorithms' accuracy.
    • Simulation and experimental comparison of classical and adapted algorithms.
    • Adaptation of Hilbert three-step and double three-step PSP algorithms for binary patterns.

    Main Results:

    • Classical phase shifting algorithms were analyzed for accuracy under defocusing.
    • Adapted Hilbert three-step and double three-step PSP algorithms show increased phase accuracy.
    • The double three-step algorithm additionally provides invalid point detection.

    Conclusions:

    • Adapted algorithms offer improved phase accuracy for PSP with binary patterns.
    • The double three-step algorithm is advantageous due to its invalid point detection capability.
    • Algorithm selection for PSP should be based on specific application requirements for optimal results.