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Related Concept Videos

Feedback control systems01:26

Feedback control systems

685
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...
685
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

343
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,...
343
Classification of Systems-I01:26

Classification of Systems-I

549
Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
549
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

357
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
357
State Space Representation01:27

State Space Representation

528
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...
528
Control System Problem01:21

Control System Problem

404
In an open-loop system, such as a basic thermostat, the poles of the transfer function influence the system's response but do not determine its stability. However, when feedback is introduced to form a closed-loop system, such as an advanced thermostat that adjusts heating based on room temperature, stability is governed by the new poles of the closed-loop transfer function.
When forming a closed-loop system, issues can arise if the poles cross into the unstable region, leading to potential...
404

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Pattern-based learning and control for a class of sampled-data nonlinear systems.

Qinchen Yang1, Fukai Zhang1, Cong Wang1

  • 1School of control Science and Engineering, Shandong University, Jinan, 250000, China.

Neural Networks : the Official Journal of the International Neural Network Society
|October 14, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a new pattern-based learning control strategy for dynamic industrial systems. It uses neural networks and deterministic learning to adapt controllers to changing conditions, ensuring stable and high-performance operation.

Keywords:
Adaptive neural controlDeterministic learningPattern-based controlSampled-data nonlinear systems

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Area of Science:

  • * Industrial Control Systems Engineering
  • * Adaptive Control Theory
  • * Machine Learning in Control

Background:

  • * Traditional control schemes fail in dynamic industrial environments with changing system parameters.
  • * Sampled-data systems require advanced control strategies to manage multiple operating scenarios.
  • * Complexity arises from time-varying dynamics and the need for real-time adaptation.

Purpose of the Study:

  • * To develop a robust pattern-based learning and control strategy for sampled-data systems.
  • * To address challenges posed by multiple, dynamic operating scenarios in industrial processes.
  • * To enhance system stability and control performance under varying conditions.

Main Methods:

  • * Two-phase identification: designing sampled-data neural network (NN) controllers and constructing a candidate controller library using deterministic learning (DL) theory.
  • * Second identification phase: precise identification of closed-loop system dynamics using estimators.
  • * Recognition and control phase: rapid detection of scenario changes via minimum residual principle and selection of appropriate learning controllers.

Main Results:

  • * Accurate approximation of unknown system dynamics using NNs based on DL theory.
  • * Effective identification of system dynamics under normal controller operation.
  • * Rapid and accurate detection of control scenario changes.
  • * Successful selection of suitable learning controllers ensuring stability and performance.

Conclusions:

  • * The proposed pattern-based learning control strategy effectively handles dynamic industrial processes.
  • * The approach ensures system stability and high-performance control across multiple operating scenarios.
  • * Simulation results validate the efficacy of the adaptive control method.