scispace - formally typeset
Journal ArticleDOI

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

Reads0
Chats0
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.

read more

Citations
More filters
Journal ArticleDOI

Analysis and reduced-order design of quadratic criterion-based iterative learning control using singular value decomposition

TL;DR: In this article, the singular value decomposition (SVD) and quadratic criterion-based iterative learning control (Q-ILC) were employed for tuning factors.
Journal ArticleDOI

Modelling of non-minimum-phase effects in discrete-time norm-optimal iterative learning control

TL;DR: A predictive model of the onset of slow convergence behaviour is developed as a set of linear constraints and shown to be valid when the iteration time interval is sufficiently long and provide a good prediction of the magnitude of error norm where slow convergence begins.
Journal ArticleDOI

Iterative learning control approach for a kind of heterogeneous multi-agent systems with distributed initial state learning

TL;DR: In this paper, leader-follower coordination problems of a kind of heterogeneous multi-agent systems are studied by applying iterative learning control (ILC) scheme in a repeatable control environment to overcome the strict identical initial condition commonly used in ILC.
Journal ArticleDOI

Electrode Array-based Electrical Stimulation using ILC with Restricted Input Subspace

TL;DR: In this article, a model-based control strategy was developed for faster, more accurate postural control, which fuses model identification with iterative learning control, and employs a restricted input subspace comprising only those inputs deemed critical to task completion.
Journal ArticleDOI

Parameter-optimal iterative learning control using polynomial representations of the inverse plant

TL;DR: This article investigates the construction and properties of a multi-parameter parameter-optimal ILC algorithm that uses an approximate polynomial representation of the inverse with natural high-frequency attenuation, capable of producing significant improvements to the observed convergence rate.
References
More filters

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

Book

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.
Book

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.
Related Papers (5)