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Linear Approximation in Time Domain01:21

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Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
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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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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.
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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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Time and frequency -Domain Interpretation of Phase-lag Control01:21

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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.
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Updated: Jan 27, 2026

Integrated Photoacoustic Ophthalmoscopy and Spectral-domain Optical Coherence Tomography
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Correction: Simulating optical coherence tomography for observing nerve activity: A finite difference time domain

Francesca Troiani, Konstantin Nikolic, Timothy G Constandinou

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    Summary

    This study corrects a previously published article DOI. The correction ensures accurate referencing for scientific literature. Researchers should use the updated DOI for all citations.

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    Area of Science:

    • Scientific publishing
    • Bibliographic data
    • Scholarly communication

    Context:

    • Correction of article DOI
    • Ensuring accurate citation
    • Maintaining scientific integrity

    Purpose:

    • To provide the correct article DOI
    • To prevent citation errors
    • To facilitate proper referencing

    Summary:

    • The article DOI has been corrected.
    • This ensures accurate retrieval of the publication.
    • Updated DOI: 10.1371/journal.pone.0200392.

    Impact:

    • Improved accuracy in scientific literature
    • Reduced potential for citation errors
    • Enhanced discoverability of the research article