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

424
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,...
424
Feedback control systems01:26

Feedback control systems

804
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...
804
Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

469
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...
469
Open and closed-loop control systems01:17

Open and closed-loop control systems

2.1K
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...
2.1K
Linear time-invariant Systems01:23

Linear time-invariant Systems

1.1K
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...
1.1K
PD Controller: Design01:26

PD Controller: Design

735
In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...
735

You might also read

Related Articles

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

Sort by
Same author

Bioresponsive microneedle stent provides anastomosis and postoperative adjuvant therapy in preclinical resectable intestinal diseases.

Science translational medicine·2026
Same author

Association between triglyceride glucose-body mass index and chronic diarrhea: A cross-sectional study of NHANES 2005-2010 data.

Gastroenterologia y hepatologia·2026
Same author

Identification and validation of programmed cell death-related genes in osteosarcoma: inhibiting CIB1 as a promising therapeutic strategy.

BMC cancer·2026
Same author

Multiscale cathode design for high-temperature proton exchange membrane fuel cells.

Chemical Society reviews·2026
Same author

YAP-activated lymph node fibroblasts contribute to extracellular matrix remodeling associated with extranodal extension of oral squamous cell carcinoma.

The journal of pathology. Clinical research·2026
Same author

Mitochondrial NADH-redox inflexibility constrains genomic and epigenetic stability in pluripotent stem cells.

The EMBO journal·2026
Same journal

A New Human-Likeness and Comfort Index for Robot Movements Along Prescribed Paths.

IEEE transactions on cybernetics·2026
Same journal

Robust Semiglobal and Global Stabilization for Nonlinear Normal Form Systems by Time-Varying Feedback.

IEEE transactions on cybernetics·2026
Same journal

Adaptive Global Asymptotic Output Stabilization of Uncertain Nonlinear Systems Under Dynamic State/Input Quantization.

IEEE transactions on cybernetics·2026
Same journal

Accelerated Distributed Gradient Tracking for Constrained Aggregative Optimization Over Time-Varying Digraphs.

IEEE transactions on cybernetics·2026
Same journal

Small-Gain-Based Plug-and-Play Distributed Control Framework for DC Microgrids With Decentralized Reconfiguration.

IEEE transactions on cybernetics·2026
Same journal

Prescribed-Time Impulsive Control of High-Order Integrator Systems.

IEEE transactions on cybernetics·2026
See all related articles

Related Experiment Video

Updated: Apr 12, 2026

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

5.5K

A Lyapunov-Based Event-Triggered Model Predictive Control Approach for Safe Tracking Control of Discrete-Time

Xinyu Li, Huaiguang Yang, Shu Li

    IEEE Transactions on Cybernetics
    |April 10, 2026
    PubMed
    Summary
    This summary is machine-generated.

    A new event-triggered mechanism reduces computation for model predictive control (MPC) in safety-critical systems. It uses Lyapunov functions to trigger updates, ensuring stability and performance while cutting costs.

    More Related Videos

    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

    2.2K

    Related Experiment Videos

    Last Updated: Apr 12, 2026

    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

    5.5K
    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

    2.2K

    Area of Science:

    • Control Systems Engineering
    • Nonlinear System Analysis
    • Computational Optimization

    Background:

    • Model Predictive Control (MPC) is computationally intensive for discrete-time nonlinear input-affine systems.
    • Conventional MPC requires continuous monitoring, leading to high computational costs.
    • Safety-critical systems demand robust control with guaranteed stability and performance.

    Purpose of the Study:

    • To propose a novel Lyapunov-based event-trigger mechanism to reduce MPC computational cost.
    • To ensure safety and stability in discrete-time nonlinear input-affine systems using event-triggered control.
    • To analyze the recursive feasibility and stability of the proposed event-triggered MPC.

    Main Methods:

    • Developed a Lyapunov-based event-triggering condition leveraging MPC's predictive capabilities.
    • Integrated Control Barrier Functions (CBFs) and Control Lyapunov Functions (CLFs) as constraints in the MPC optimization.
    • Rigorously analyzed recursive feasibility, addressing potential infeasibility from hard CBF constraints.
    • Established Input-to-State Practical Stability (ISpS) for the closed-loop system.

    Main Results:

    • The event-triggered mechanism effectively determines optimal triggering instants based on Lyapunov function evolution.
    • The proposed CBF-CLF-MPC algorithm significantly reduces unnecessary controller updates.
    • Computational consumption is lowered without compromising tracking performance compared to time-triggered MPC.
    • Recursive feasibility and ISpS are proven for the event-triggered system.

    Conclusions:

    • The novel Lyapunov-based event-trigger mechanism offers a computationally efficient alternative to traditional MPC for safety-critical systems.
    • The integration of CBFs and CLFs ensures system safety and stability under event-triggered control.
    • The proposed method achieves substantial computational savings while maintaining performance, validated by simulations.