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Related Concept Videos

Control Systems01:10

Control Systems

1.5K
Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
At the heart...
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Feedback control systems01:26

Feedback control systems

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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...
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BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

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System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
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Linear time-invariant Systems01:23

Linear time-invariant Systems

537
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...
537
Open and closed-loop control systems01:17

Open and closed-loop control systems

1.2K
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...
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Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

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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...
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Related Experiment Video

Updated: Oct 22, 2025

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
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Observer-Based Asynchronous Control of Nonlinear Systems With Dynamic Event-Based Try-Once-Discard Protocol.

Jun Cheng, Ju H Park, Zheng-Guang Wu

    IEEE Transactions on Cybernetics
    |August 30, 2021
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    Summary
    This summary is machine-generated.

    This study introduces a novel dynamic event-based protocol for asynchronous control of nonlinear systems facing network constraints. The method ensures system stability despite communication challenges.

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    Area of Science:

    • Control Systems Engineering
    • Networked Systems
    • Nonlinear Dynamics

    Background:

    • Network-induced communication constraints pose significant challenges in modern control systems.
    • Existing protocols struggle with data collisions and side effects in constrained channels.
    • Asynchronous control is crucial for discrete-time nonlinear systems operating under intermittent data transmission.

    Purpose of the Study:

    • To develop an observer-based asynchronous control strategy for discrete-time nonlinear systems.
    • To propose a novel dynamic event-based weighted try-once-discard (DEWTOD) protocol to manage communication constraints.
    • To ensure mean-square exponential stability of the closed-loop system.

    Main Methods:

    • A dynamic event-based weighted try-once-discard (DEWTOD) protocol is proposed for regulating data sampling and transmission.
    • A hidden Markov model is employed to characterize the time-varying detection probability matrix using a polytopic set.
    • Sufficient conditions for stability are derived using a polytopic-structured Lyapunov functional.

    Main Results:

    • The DEWTOD protocol effectively manages data transmission, preventing collisions in constrained communication channels.
    • The proposed observer-based controller design guarantees mean-square exponential stability for the closed-loop system.
    • The methodology's validity is confirmed through two illustrative numerical examples.

    Conclusions:

    • The developed DEWTOD protocol offers an effective solution for observer-based asynchronous control under network constraints.
    • The polytopic-structured Lyapunov functional approach provides robust stability analysis for such systems.
    • This research contributes a reliable control strategy for discrete-time nonlinear systems in networked environments.