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Related Concept Videos

Open and closed-loop control systems01:17

Open and closed-loop control systems

Control systems are foundational elements in automation and engineering. They are broadly categorized into open-loop and closed-loop systems. These classifications hinge on the presence or absence of feedback mechanisms, significantly influencing the system's performance, complexity, and application.
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal and...
Control System Problem01:21

Control System Problem

In an open-loop system, such as a basic thermostat, the poles of the transfer function influence the system's response but do not determine its stability. However, when feedback is introduced to form a closed-loop system, such as an advanced thermostat that adjusts heating based on room temperature, stability is governed by the new poles of the closed-loop transfer function.
When forming a closed-loop system, issues can arise if the poles cross into the unstable region, leading to potential...
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Control Systems01:10

Control Systems

Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
At the heart...
Feedback control systems01:26

Feedback control systems

Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...

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Updated: May 22, 2026

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
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Control of Oscillator Networks with Mean-Field Measurement: A Hybrid Open/Closed-Loop Approach.

Bharat Singhal1, István Z Kiss2, Jr-Shin Li1

  • 1Department of Electrical and Systems Engineering, Washington University in St Louis, St. Louis, Missouri 63130, USA.

IEEE Transactions on Control Systems Technology : a Publication of the IEEE Control Systems Society
|May 21, 2026
PubMed
Summary

We developed a hybrid control method for large oscillator populations using only mean measurements. This approach creates synchronization patterns robust to noise, applicable in engineering and biology.

Keywords:
Mean-Field controlNonlinear oscillatorsPhase modelsSynchronization

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Area of Science:

  • Complex Systems
  • Control Theory
  • Network Science

Background:

  • Controlling large populations of limit-cycle oscillators is challenging due to scale and limited measurements.
  • Population mean is often the only available measurement, restricting traditional control design.

Purpose of the Study:

  • To introduce a hybrid open/closed-loop control strategy for oscillator populations.
  • To construct desired dynamic patterns using only population mean measurements.
  • To design a minimum-power global signal for oscillator control.

Main Methods:

  • A hybrid approach combining open-loop input with closed-loop feedback based on Fourier coefficients of the population mean.
  • Solving a constrained quadratic convex program using the phase model description of oscillators.
  • Utilizing only population mean Fourier coefficients for control design, ensuring robustness to noise.

Main Results:

  • The proposed method successfully generates various synchronization patterns in oscillator populations.
  • The control strategy demonstrates robustness against Gaussian measurement noise.
  • Numerical simulations validate the method's efficacy in creating synchronized clusters, particularly in neuronal networks.

Conclusions:

  • A novel hybrid control method enables pattern construction in large oscillator populations using mean measurements.
  • The approach is robust to noise and applicable to systems in engineering and biology.
  • Validated through simulations, the method shows promise for applications like neuronal network synchronization.