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Related Concept Videos

Multi-input and Multi-variable systems01:22

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...
Linear time-invariant Systems01:23

Linear time-invariant Systems

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 calculated...
Feedback control systems01:26

Feedback control systems

Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
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BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

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.
Open and closed-loop control systems01:17

Open and closed-loop control systems

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 and...
Transfer Function in Control Systems01:21

Transfer Function in Control Systems

The transfer function is a fundamental concept in the analysis and design of linear time-invariant (LTI) systems. It offers a concise way to understand how a system responds to different inputs in the frequency domain. It serves as a bridge between the time-domain differential equations that describe system dynamics and the frequency-domain representation that facilitates easier manipulation and analysis.
To derive the transfer function, consider a general nth-order linear time-invariant...

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Related Experiment Video

Updated: May 25, 2026

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

Adaptive control for mimo uncertain nonlinear systems using recurrent wavelet neural network.

Chih-Min Lin1, Ang-Bung Ting, Chun-Fei Hsu

  • 1Department of Electrical Engineering, Yuan Ze University, No. 135, Far-Eastern Rd., Chung-Li, Tao-Yuan, 320, Taiwan. cml@saturn yzu.edu.tw.

International Journal of Neural Systems
|January 21, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a Recurrent Wavelet Neural Network (RWNN)-based adaptive control (RBAC) system for complex MIMO uncertain nonlinear systems. The RBAC system ensures stable, chatter-free control with excellent tracking performance and robustness.

Related Experiment Videos

Last Updated: May 25, 2026

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

Area of Science:

  • Control Systems Engineering
  • Artificial Intelligence
  • Nonlinear Dynamics

Background:

  • Multi-input multi-output (MIMO) uncertain nonlinear systems present significant control challenges.
  • Traditional adaptive control methods can suffer from chattering and limited generalization.
  • Recurrent Wavelet Neural Networks (RWNNs) offer fast learning, good generalization, and information storage capabilities.

Purpose of the Study:

  • To propose a novel RWNN-based adaptive control (RBAC) system for MIMO uncertain nonlinear systems.
  • To design a control system that achieves robust tracking performance without chattering.
  • To validate the effectiveness of the proposed RBAC system through simulations.

Main Methods:

  • Development of an RBAC system comprising an RWNN-based neural controller and a bounding compensator.
  • Online mimicry of an ideal controller using the RWNN.
  • Implementation of a smooth, chattering-free stability compensation mechanism.
  • Lyapunov stability analysis to prove uniform ultimate boundedness of system signals.

Main Results:

  • The proposed RBAC system demonstrates favorable tracking performance for MIMO uncertain nonlinear systems.
  • The system exhibits desired robustness against system uncertainties.
  • Simulation results confirm the absence of chattering in the control effort.
  • All signals within the closed-loop system are proven to be uniformly ultimately bounded.

Conclusions:

  • The RWNN-based adaptive control system is effective for controlling MIMO uncertain nonlinear systems.
  • The proposed method provides a robust, chatter-free solution with good tracking capabilities.
  • The RBAC system shows promise for applications in complex mechanical and robotic systems.