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Journal ArticleDOI

Iterative learning control for discrete-time systems with exponential rate of convergence

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TLDR
An algorithm for iterative learning control is proposed based on an optimisation principle used by other authors to derive gradient-type algorithms and has potential benefits which include realisation in terms of Riccati feedback and feedforward components.
Abstract
An algorithm for iterative learning control is proposed based on an optimisation principle used by other authors to derive gradient-type algorithms. The new algorithm is a descent algorithm and has potential benefits which include realisation in terms of Riccati feedback and feedforward components. This realisation also has the advantage of implicitly ensuring automatic step-size selection and hence guaranteeing convergence without the need for empirical choice of parameters. The algorithm achieves a geometric rate of convergence for invertible plants. One important feature of the proposed algorithm is the dependence of the speed of convergence on weight parameters appearing in the norms of the signals chosen for the optimisation problem.

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Journal ArticleDOI

A survey of iterative learning control

TL;DR: Though beginning its third decade of active research, the field of ILC shows no sign of slowing down and includes many results and learning algorithms beyond the scope of this survey.

Linear systems

TL;DR: In this paper, the authors studied the effect of local derivatives on the detection of intensity edges in images, where the local difference of intensities is computed for each pixel in the image.
Journal ArticleDOI

Iterative Learning Control: Brief Survey and Categorization

TL;DR: The iterative learning control (ILC) literature published between 1998 and 2004 is categorized and discussed, extending the earlier reviews presented by two of the authors.
Journal ArticleDOI

Model-based iterative learning control with a quadratic criterion for time-varying linear systems

TL;DR: It is shown that, within the framework of the quadratic-criterion-based ILC (Q-ILC), various practical issues such as constraints, disturbances, measurement noises, and model errors can be considered in a rigorous and systematic manner.
Book ChapterDOI

Iterative Learning Control: An Expository Overview

TL;DR: This chapter gives an overview of the field of iterative learning control (ILC), followed by a detailed description of the ILC technique, followed by two illustrative examples that give a flavor of the nature of ILC algorithms and their performance.
References
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Linear systems

TL;DR: In this paper, the authors studied the effect of local derivatives on the detection of intensity edges in images, where the local difference of intensities is computed for each pixel in the image.
Book ChapterDOI

Computer Controlled Systems

TL;DR: The degree of success of a computer control application depends mainly on the effectiveness of the algorithm, which is generally designed from plant specifications and desired performance characteristics.
Journal ArticleDOI

Inversion of multivariable linear systems

TL;DR: In this article, a new algorithm for constructing an inverse of a multivariable linear dynamical system is presented, which is considerably more efficient than previous methods, and incorporates a relatively simple criterion for determining if an inverse system exists.
Book

Iterative Learning Control for Deterministic Systems

TL;DR: The material presented in this book addresses the analysis and design of learning control systems using a system-theoretic approach, and the application of artificial neural networks to the learning control problem.
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