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Related Concept Videos

Feedback control systems01:26

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...
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
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...
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.
Control Systems01:10

Control Systems

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...
Load-frequency control01:28

Load-frequency control

Load-frequency control (LFC) is vital for maintaining power system stability, ensuring that frequency and power flows remain within acceptable limits during load changes. Turbine-governor control eliminates rotor accelerations and decelerations following load changes. However, a steady-state frequency error persists when the change in the turbine-governor reference setting is zero. In an interconnected power system, each area agrees to export or import a scheduled amount of power through...

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WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
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An ILC-based adaptive control for general stochastic systems with strictly decreasing entropy.

Puya Afshar1, Hong Wang, Tianyou Chai

  • 1Control Systems Centre, School of Electrical and Electronic Engineering, The University of Manchester, M60 1QD, Manchester, The United Kingdom.

IEEE Transactions on Neural Networks
|February 20, 2009
PubMed
Summary

This study introduces adaptive control for complex stochastic systems using minimum entropy and iterative learning control (ILC). The novel method effectively reduces output randomness and uncertainty in nonlinear, non-Gaussian systems.

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Area of Science:

  • Control Systems Engineering
  • Machine Learning
  • Stochastic Processes

Background:

  • Adaptive control is crucial for managing complex systems with unknown dynamics.
  • Stochastic systems, especially those that are nonlinear and non-Gaussian, present significant control challenges.
  • Minimizing output randomness is key to improving system performance and reliability.

Purpose of the Study:

  • To propose a novel adaptive control method for general nonlinear and non-Gaussian unknown stochastic systems.
  • To decrease the closed-loop output randomness using a minimum entropy control scheme.
  • To enhance control performance through iterative learning control (ILC).

Main Methods:

  • Utilized dynamic neural networks for both plant modeling and controller design.
  • Implemented a minimum entropy control scheme within an iterative learning control (ILC) framework.
  • Divided the control horizon into batches and employed a pseudo-D-type ILC law to iteratively train parameters, reducing tracking error entropy.

Main Results:

  • Demonstrated a decrease in output uncertainty over successive batches.
  • Provided theoretical analysis of the proposed ILC convergence.
  • Experimental results validated the effectiveness of the adaptive control algorithm, showing encouraging performance.

Conclusions:

  • The proposed method offers an effective approach for adaptive control of challenging stochastic systems.
  • Iterative learning control combined with minimum entropy significantly reduces output randomness and uncertainty.
  • The dynamic neural network-based approach provides a robust framework for modeling and control.