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Related Concept Videos

Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

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 finite,...
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

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 filters, manage...
Linear time-invariant Systems01:23

Linear time-invariant Systems

A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
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Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

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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Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

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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Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
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Updated: Jul 4, 2026

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators
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Published on: August 15, 2014

Technical Note: Real-Time MLC Control and Latency Measurement Optimization with External Verification.

Benjamin Schultz1, Satyapal Rathee2, B Gino Fallone3

  • 1Department of Oncology, Medical Physics Division, University of Alberta, 11560 University Avenue, Edmonton, Alberta, T6G 1Z2, Canada.

Physics in Medicine and Biology
|July 2, 2026
PubMed
Summary
This summary is machine-generated.

This study measured the mechanical latency of the Alberta Linac-MR (LMR) multi-leaf collimator (MLC) during real-time tumor tracking. Latency was minimized at leaf velocities of 10 mm/s or higher, with gantry angle having no significant impact.

Keywords:
MLC latencyMLC trackingMR-guided radiotherapyMotion managmentReal-time tracking

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Last Updated: Jul 4, 2026

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators
11:44

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

Published on: August 15, 2014

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
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Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

Area of Science:

  • Medical Physics
  • Radiation Oncology
  • Image-Guided Therapy

Background:

  • Real-time tumor-tracked radiation therapy aims to improve accuracy by adapting to tumor motion.
  • The multi-leaf collimator (MLC) dynamically shapes the radiation beam but has inherent time delays.
  • Characterizing MLC latency is crucial for precise target tracking and reducing treatment margins.

Purpose of the Study:

  • To quantify the mechanical latency of the Alberta Linac-MR (LMR) MLC.
  • To evaluate latency under various gantry angles, leaf velocities, and tumor motion patterns.
  • To develop a method for real-time MLC motion control and latency verification.

Main Methods:

  • A QUASAR MRI4D motion phantom simulated 1-D abdominothoracic tumor motion.
  • A proportional-integral-derivative (PID) controller minimized MLC latency.
  • MLC and phantom positions were timestamped and externally verified by cameras to calculate latency.

Main Results:

  • MLC latency ranged from 73.2 to 80.1 ms across different motion patterns.
  • For sine motion, latency was consistent across gantry angles (74.3–74.9 ms).
  • Higher leaf velocities (≥10 mm/s) resulted in lower latency (76.0–76.3 ms) compared to 5 mm/s (111.4 ms).

Conclusions:

  • A technique for real-time MLC latency verification was established for the LMR system.
  • Gantry angle did not significantly affect MLC mechanical latency.
  • Optimizing maximum leaf velocity to ≥10 mm/s is key to minimizing latency in real-time tracking.