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

First Order Systems01:21

First Order Systems

275
First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
275
Feedback control systems01:26

Feedback control systems

585
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...
585
Second Order systems II01:18

Second Order systems II

293
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.
293
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

232
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,...
232
Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

269
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...
269
Second Order systems I01:20

Second Order systems I

426
A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
By reinterpreting the system, one can derive the closed-loop transfer function, which...
426

You might also read

Related Articles

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

Sort by
Same author

Solution-solid-solid mechanism: superionic conductors catalyze nanowire growth.

Nano letters·2013
Same author

Depending on the stage of hepatosteatosis, p53 causes apoptosis primarily through either DRAM-induced autophagy or BAX.

Liver international : official journal of the International Association for the Study of the Liver·2013
Same author

Low-voltage switching of crease patterns on hydrogel surfaces.

Advanced materials (Deerfield Beach, Fla.)·2013
Same author

Long non-coding RNAs and prostate cancer.

Journal of nanoscience and nanotechnology·2013
Same author

Self-assembled graphene quantum dots induced by cytochrome c: a novel biosensor for trypsin with remarkable fluorescence enhancement.

Nanoscale·2013
Same author

Relationship between glutathione S-transferase P1 (GSTP1), X-ray repair cross complementing group 1 (XRCC1) and 5,10-methylenetetrahydrofolate reductase (5,10-MTHFR) gene polymorphisms and response to chemotherapy in advanced gastric cancer.

Onkologie·2013

Related Experiment Video

Updated: Dec 4, 2025

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

5.3K

Efficient Learning Control of Uncertain Fractional-Order Chaotic Systems With Disturbance.

Xia Wang, Bin Xu, Peng Shi

    IEEE Transactions on Neural Networks and Learning Systems
    |October 22, 2020
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel synchronization control method for fractional-order chaotic systems. The approach effectively handles unknown dynamics and disturbances, achieving high synchronization accuracy and improved estimation performance.

    More Related Videos

    Interactive and Visualized Online Experimentation System for Engineering Education and Research
    08:35

    Interactive and Visualized Online Experimentation System for Engineering Education and Research

    Published on: November 24, 2021

    2.8K
    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

    Related Experiment Videos

    Last Updated: Dec 4, 2025

    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

    5.3K
    Interactive and Visualized Online Experimentation System for Engineering Education and Research
    08:35

    Interactive and Visualized Online Experimentation System for Engineering Education and Research

    Published on: November 24, 2021

    2.8K
    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

    Area of Science:

    • Control Systems Engineering
    • Nonlinear Dynamics
    • Chaos Theory

    Background:

    • Fractional-order chaotic systems present unique challenges due to their complex dynamics and inherent uncertainties.
    • Synchronization control is crucial for applications like secure communication and signal processing.

    Purpose of the Study:

    • To develop an effective synchronization control strategy for fractional-order chaotic systems with unknown dynamics and disturbances.
    • To enhance the estimation performance of system uncertainty and external disturbances.

    Main Methods:

    • Utilized neural approximation with a neural network (NN) to model system uncertainty.
    • Employed a disturbance observer (DOB) to handle time-varying disturbances.
    • Designed a composite fractional-order updating law based on prediction error from a serial-parallel estimation model.

    Main Results:

    • The proposed method demonstrated high synchronization accuracy in simulations.
    • Achieved superior estimation performance for both system uncertainty and disturbances.
    • Analysis confirmed the boundedness of system signals under the proposed control scheme.

    Conclusions:

    • The novel control design scheme effectively achieves synchronization for fractional-order chaotic systems.
    • The integration of neural networks and disturbance observers offers a robust solution for complex system control.
    • This work contributes to advancing control strategies for chaotic systems in the presence of uncertainties.