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

Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

59
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,...
59
Euler Equations of Motion01:19

Euler Equations of Motion

197
Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second rotating frame that is attached to the body itself. This frame moves along with the body and possesses an angular velocity of Ω. The total moment about the center of mass is calculated by adding the rate of change of angular momentum about the center of mass in relation to the rotating frame and the cross-product of the body's angular velocity...
197
Linear time-invariant Systems01:23

Linear time-invariant Systems

202
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.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
202
Stability of Equilibrium Configuration: Problem Solving01:13

Stability of Equilibrium Configuration: Problem Solving

566
The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...
566
Kinematic Equations: Problem Solving01:15

Kinematic Equations: Problem Solving

11.8K
When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the appropriate kinematic equations to solve for the unknowns. Either one or two kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities. Generally, the number of equations required is the same as the number of unknown quantities in the given example. Two-body pursuit problems always require two...
11.8K
Euler's Equations of Motion01:28

Euler's Equations of Motion

363
In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains...
363

You might also read

Related Articles

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

Sort by
Same author

Ribonucleic acid binding protein-mediated regulation of luteinizing hormone receptor expression in granulosa cells: relationship to sterol metabolism.

Molecular endocrinology (Baltimore, Md.)·2007
Same author

Psychological stress-induced oxidative stress as a model of sub-healthy condition and the effect of TCM.

Evidence-based complementary and alternative medicine : eCAM·2007
Same author

Overexpression of OsCOIN, a putative cold inducible zinc finger protein, increased tolerance to chilling, salt and drought, and enhanced proline level in rice.

Planta·2007
Same author

Edge-based scoring and searching method for identifying condition-responsive protein-protein interaction sub-network.

Bioinformatics (Oxford, England)·2007
Same author

[The value of long-term postoperative follow-up after curative resection of lung cancer and common problems associated with it].

Nihon Geka Gakkai zasshi·2007
Same author

Identification of a type III thioesterase reveals the function of an operon crucial for Mtb virulence.

Chemistry & biology·2007

Related Experiment Video

Updated: May 24, 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

1.5K

Optimal Output Synchronization of Euler-Lagrange Systems With Uncertain Time-Varying Quadratic Cost Functions.

Liangze Jiang, Zheng-Guang Wu, Lei Wang

    IEEE Transactions on Cybernetics
    |March 4, 2025
    PubMed
    Summary
    This summary is machine-generated.

    This study addresses the optimal output synchronization problem for uncertain networked Euler-Lagrange systems. Researchers developed a distributed adaptive controller ensuring system outputs converge to time-varying optimal solutions despite uncertainties.

    More Related Videos

    WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
    08:18

    WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control

    Published on: August 15, 2020

    4.9K
    Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task
    05:04

    Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task

    Published on: September 21, 2017

    5.9K

    Related Experiment Videos

    Last Updated: May 24, 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

    1.5K
    WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
    08:18

    WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control

    Published on: August 15, 2020

    4.9K
    Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task
    05:04

    Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task

    Published on: September 21, 2017

    5.9K

    Area of Science:

    • Control Systems Engineering
    • Networked Systems
    • Optimization Theory

    Background:

    • Networked systems often face challenges with uncertain parameters and distributed control objectives.
    • The optimal output synchronization problem (OOSP) requires system outputs to track a dynamic optimal solution.
    • Existing methods may not adequately handle uncertainties in distributed optimization problems within Euler-Lagrange systems.

    Purpose of the Study:

    • To investigate the optimal output synchronization problem (OOSP) for uncertain networked Euler-Lagrange (EL) systems.
    • To develop a distributed adaptive control strategy for achieving synchronization with time-varying optimal solutions.
    • To handle uncertain parameters within local cost functions of a distributed quadratic optimization problem.

    Main Methods:

    • A centralized controller with adaptive gains was designed for a double-integrator system to track the optimal solution.
    • Modified average estimators were employed to extend the centralized design to a distributed implementation for EL systems.
    • Matrix trace properties and composite Lyapunov analysis were utilized to prove convergence.

    Main Results:

    • The proposed distributed adaptive controller successfully guides system outputs towards the time-varying optimal solution.
    • The system outputs asymptotically converge to the desired time-varying optimal solution under uncertain conditions.
    • Validation was performed using two illustrative examples.

    Conclusions:

    • The developed distributed adaptive control approach effectively solves the OOSP for uncertain networked EL systems.
    • The method ensures robust convergence to dynamic optimal solutions in the presence of parameter uncertainties.
    • The findings offer a valuable framework for synchronization tasks in complex networked control systems.