Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

PI Controller: Design

PI Controller: Design

Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...

Feedback control systems

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...

Linear Approximation in Time Domain

Linear Approximation in Time Domain

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,...

Controller Configurations

Controller Configurations

Controller configurations are crucial in a car's cruise control system because they manage speed over time to maintain a consistent pace regardless of road conditions, thereby meeting design goals. In traditional control systems, fixed-configuration design involves predetermined controller placement. System performance modifications are known as compensation.
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller...

Multi-input and Multi-variable systems

Multi-input and Multi-variable systems

Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...

State Space Representation

State Space Representation

The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...

You might also read

Related Articles

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

Sort by

Same author

The neural correlates of value hierarchies: a prospective typology based on personal value profiles of emerging adults.

Frontiers in psychology·2024

Same author

Efficacy and Safety of PF-07038124 in Patients With Atopic Dermatitis and Plaque Psoriasis: A Randomized Clinical Trial.

JAMA dermatology·2023

Same author

Improving enteral nutrition tolerance and protein intake maybe beneficial to intensive care unit patients.

Scientific reports·2023

Same author

Efficacy and Safety of Dual Anti-HER2 Blockade and Docetaxel With or Without Carboplatin as Neoadjuvant Regimen for Treatment of HER2-Positive Breast Cancer.

Technology in cancer research & treatment·2023

Same author

Boosting Low-Temperature CO<sub>2</sub> Hydrogenation over Ni-based Catalysts by Tuning Strong Metal-Support Interactions.

Angewandte Chemie (International ed. in English)·2023

Same author

A new direction in Chinese herbal medicine ameliorates for type 2 diabetes mellitus: Focus on the potential of mitochondrial respiratory chain complexes.

Journal of ethnopharmacology·2023

Search research articles

Related Experiment Video

Updated: May 1, 2026

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

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

Published on: August 15, 2020

Universal fuzzy integral sliding-mode controllers for stochastic nonlinear systems.

Qing Gao, Lu Liu, Gang Feng

IEEE Transactions on Cybernetics

|April 11, 2014

Summary

A new dynamic integral sliding mode control (DISMC) scheme is introduced for stochastic nonlinear systems. This approach enhances stability and removes restrictive assumptions, offering improved control performance.

More Related Videos

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy

Published on: October 14, 2017

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Published on: November 24, 2021

Related Experiment Videos

Last Updated: May 1, 2026

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

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

Published on: August 15, 2020

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy

Published on: October 14, 2017

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Published on: November 24, 2021

Area of Science:

Control Engineering
Stochastic Systems
Fuzzy Logic

Background:

Stochastic nonlinear systems modeled by Itô differential equations present significant control challenges.
Existing integral sliding-mode control (ISMC) methods for stochastic fuzzy systems often rely on restrictive assumptions.
Universal control strategies are needed for broad applicability in complex systems.

Purpose of the Study:

To develop a novel dynamic integral sliding mode control (DISMC) scheme for general stochastic nonlinear systems.
To address limitations of existing ISMC approaches by removing restrictive assumptions.
To provide universal fuzzy integral sliding-mode controllers and their design procedures for stochastic nonlinear systems.

Main Methods:

Utilizing stochastic T-S fuzzy approximation models for system representation.
Applying stochastic Lyapunov theory to analyze system stability.
Formulating control designs and stability conditions using linear matrix inequalities (LMIs).

Main Results:

A novel DISMC scheme is developed, removing two restrictive assumptions common in prior ISMC methods.
Closed-loop system trajectories are proven to remain on the integral sliding surface almost surely.
Stochastic stability of the sliding motion is guaranteed via LMIs.
Universal fuzzy integral sliding-mode controllers and constructive design procedures are presented for two classes of systems.

Conclusions:

The proposed DISMC scheme effectively controls stochastic nonlinear systems.
The method enhances system stability and removes prior limitations, demonstrating broad applicability.
Simulation results for an inverted pendulum validate the effectiveness of the developed control approaches.