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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 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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Time-Domain Interpretation of PD Control01:07

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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.
Consider the example of control of motor torque. Initially, a positive...
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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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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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Frequency-Domain Interpretation of PD Control01:24

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Proportional-Derivative (PD) controllers are widely used in fan control systems to improve stability and performance. A fan control system can be effectively represented using a Bode plot to illustrate the impact of a PD controller through its transfer function. The Bode plot visually conveys how PD control modifies the fan's response across various frequencies, providing a frequency domain interpretation of the controller's behavior.
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Updated: Sep 12, 2025

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On-chip deterministic arbitrary-phase-controlling.

Rui Ma1, Chu Li1, Qiuchen Yan1

  • 1State Key Laboratory for Mesoscopic Physics & Department of Physics, Collaborative Innovation Center of Quantum Matter & Frontiers Science Center for Nano-Optoelectronics, Peking University, Beijing 100871, P.R. China.

Nanophotonics (Berlin, Germany)
|August 7, 2025
PubMed
Summary
This summary is machine-generated.

Researchers developed a new method for precise on-chip arbitrary-phase-controlling of light signals. This breakthrough enables advanced integrated photonic circuits and quantum computing applications.

Keywords:
deterministic arbitrary-phase-controllingoptical chipoptical permutation circuitthree-waveguide configuration

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Area of Science:

  • Photonics
  • Quantum Computing
  • Integrated Optics

Background:

  • On-chip deterministic arbitrary-phase-controlling is crucial for integrated photonic information processing.
  • Conventional methods suffer from crosstalk, length distortion, and fabrication errors, limiting arbitrary-phase-controlling.
  • Achieving deterministic and wide-range on-chip arbitrary-phase-controlling remains a significant challenge.

Purpose of the Study:

  • To develop an effective strategy for on-chip deterministic arbitrary-phase-controlling.
  • To demonstrate the realization of quantum gate operations using this strategy.
  • To verify the method's feasibility in silicon-based photonic devices for optical communication.

Main Methods:

  • Utilizing a three-waveguide coupled configuration.
  • Combining dynamic phase and geometric phase for arbitrary-phase-controlling.
  • Employing femtosecond-laser direct writing for sample fabrication.

Main Results:

  • Achieved deterministic arbitrary-phase-controlling of signal light from 0 to 2π.
  • Successfully realized quantum gate operations in an optical permutation-group circuit.
  • Experimentally verified on-chip silicon-based deterministic arbitrary-phase-controlling in the optical communication range.

Conclusions:

  • The proposed three-waveguide coupled configuration offers an effective solution for on-chip arbitrary-phase-controlling.
  • This method supports fundamental research in chip-scale optical devices and topological quantum computing.
  • The demonstrated technique has implications for advanced photonic information processing and quantum technologies.