Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

326
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...
326
Feedback control systems01:26

Feedback control systems

638
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...
638
Multimachine Stability01:25

Multimachine Stability

500
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.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
500
Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

1.2K
The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
1.2K
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

287
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.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
287
Second Order systems II01:18

Second Order systems II

340
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
340

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Impacts of particle morphology and rotation on optical manipulation.

Light, science & applications·2026
Same author

Polarization Engineering of Second-Harmonic Generation in 3R-MoS<sub>2</sub> Waveguides.

Nano letters·2026
Same author

Ultimate spectral purity of the tender X-ray radiation diffracted from a wideband multilayer coated blazed grating.

Optics express·2026
Same author

Imaginary Poynting momentum: polarization topology and versatile optical manipulation.

National science review·2026
Same author

A qualitative descriptive case study on the incentive strategies of hospice care volunteers.

BMC palliative care·2026
Same author

Characterization and fabrication of high-performance B<sub>4</sub>C-coated mirrors for X-ray free-electron lasers.

Applied optics·2026

Related Experiment Video

Updated: Dec 30, 2025

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

2.0K

Fuzzy Adaptive Practical Fixed-Time Consensus for Second-Order Nonlinear Multiagent Systems Under Actuator Faults.

Yanming Wu, Zhanshan Wang

    IEEE Transactions on Cybernetics
    |January 28, 2020
    PubMed
    Summary

    This study develops a fault-tolerant control for nonlinear multiagent systems (MASs) to achieve practical fixed-time consensus. The proposed method ensures fast, reliable coordination despite system faults and unknown dynamics.

    More Related Videos

    Operation of the Collaborative Composite Manufacturing CCM System
    10:09

    Operation of the Collaborative Composite Manufacturing CCM System

    Published on: October 1, 2019

    7.0K
    Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
    11:54

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

    Published on: May 8, 2021

    5.0K

    Related Experiment Videos

    Last Updated: Dec 30, 2025

    Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
    06:45

    Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

    Published on: October 28, 2022

    2.0K
    Operation of the Collaborative Composite Manufacturing CCM System
    10:09

    Operation of the Collaborative Composite Manufacturing CCM System

    Published on: October 1, 2019

    7.0K
    Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
    11:54

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

    Published on: May 8, 2021

    5.0K

    Area of Science:

    • Control Theory
    • Robotics
    • Artificial Intelligence

    Background:

    • Multiagent systems (MASs) face challenges in achieving coordinated behavior, especially with nonlinear dynamics and communication uncertainties.
    • Achieving consensus in a fixed, predictable time is crucial for real-time applications but difficult with unknown system parameters and faults.
    • Fault tolerance is essential for robust MAS operation, requiring controllers that can adapt to failures like loss of effectiveness and bias.

    Purpose of the Study:

    • To propose a distributed fuzzy adaptive control scheme for practical fixed-time consensus in second-order nonlinear MASs.
    • To address challenges posed by directed communication topologies, unknown nonlinearities, and actuator faults (loss of effectiveness and bias).
    • To ensure convergence time is independent of initial conditions and errors converge to a bounded region.

    Main Methods:

    • Utilizing fuzzy-logic systems to approximate unknown nonlinear functions within the MAS.
    • Employing the adding-a-power-integrator technique for controller design.
    • Developing a distributed adaptive fault-tolerant control strategy.

    Main Results:

    • A novel distributed fuzzy adaptive practical fixed-time fault-tolerant control scheme is presented.
    • The proposed control ensures leader tracking within a finite settling time.
    • Consensus tracking errors converge to an adjustable neighborhood of the origin, independent of initial states.

    Conclusions:

    • The developed control scheme effectively achieves practical fixed-time consensus in second-order nonlinear MASs.
    • The approach demonstrates robustness against unknown nonlinearities and specific fault types.
    • Simulation results validate the theoretical findings and the practical applicability of the proposed control strategy.