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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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DissertationDOI

Iterative Learning Control for Internal Combustion Engines

TL;DR: Thesis: Iterative Learning Control: Theory 3 1.
Journal ArticleDOI

Model-Free based Optimal Iterative Learning Control for a Class of Discrete-Time Nonlinear Systems

TL;DR: A novel norm-optimal iterative learning control (NOILC), called model-free based norm- optimal iteratives control (MFNOilC), is proposed for a class of discrete-time nonlinear systems through rigorous analysis, and the convergence of the proposed algorithm is proved.
Journal ArticleDOI

Optimality of Norm-Optimal Iterative Learning Control Among Linear Time Invariant Iterative Learning Control Laws in Terms of Balancing Robustness and Performance

TL;DR: A frequency domain analysis approach is presented toward the robustness, convergence speed, and steady-state error for general linear time invariant (LTI) iterative learning control (ILC) for single-input-single-output (SISO) LTI systems and demonstrates the optimality of norm-optimal iterativelearning control (NO-ILC).
Journal ArticleDOI

Analysis and Causal Formulation Proof of an Optimal Iterative Learning Algorithm

TL;DR: An optimal iterative learning algorithm for discrete linear systems is analyzed and a solution for its attainment is proposed and the mathematical proof of the algorithm's causal formulation is provided in its complete form.
Proceedings ArticleDOI

Iterative learning control with restricted input subspace for electrode array-based FES

TL;DR: The approach in this paper embeds past experience and/or structural knowledge in the subspace selection, and derives iterative learning controllers with favorable properties that are independent of the input basis employed.
References
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Numerical recipes in C

TL;DR: The Diskette v 2.06, 3.5''[1.44M] for IBM PC, PS/2 and compatibles [DOS] Reference Record created on 2004-09-07, modified on 2016-08-08.
Book

Linear systems

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Optimization by Vector Space Methods

TL;DR: This book shows engineers how to use optimization theory to solve complex problems with a minimum of mathematics and unifies the large field of optimization with a few geometric principles.
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Optimal Control

TL;DR: Reading optimal control frank l lewis solution manual ebook pdf 2019 is extremely useful because you could get enough detailed information in the book technology has.
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