Momentum-Based Adaptive Laws for Identification and Control

In this paper, we develop momentum-based adaptive update laws for parameter identification and control to improve parameter estimation error convergence and control system performance for uncertain dynamical systems. Specifically, we introduce three novel continuous-time, momentum-based adaptive est...

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Main Authors: Luke Somers, Wassim M. Haddad
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Aerospace
Subjects:
Online Access:https://www.mdpi.com/2226-4310/11/12/1017
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author Luke Somers
Wassim M. Haddad
author_facet Luke Somers
Wassim M. Haddad
author_sort Luke Somers
collection DOAJ
description In this paper, we develop momentum-based adaptive update laws for parameter identification and control to improve parameter estimation error convergence and control system performance for uncertain dynamical systems. Specifically, we introduce three novel continuous-time, momentum-based adaptive estimation and control algorithms and evaluate their effectiveness via several numerical examples. Our proposed adaptive architectures show faster parameter convergence rates as compared to the classical gradient descent and model reference adaptive control methods.
format Article
id doaj-art-9a0df63ff55740d887697b82fc7dfdb2
institution Kabale University
issn 2226-4310
language English
publishDate 2024-12-01
publisher MDPI AG
record_format Article
series Aerospace
spelling doaj-art-9a0df63ff55740d887697b82fc7dfdb22024-12-27T14:02:33ZengMDPI AGAerospace2226-43102024-12-011112101710.3390/aerospace11121017Momentum-Based Adaptive Laws for Identification and ControlLuke Somers0Wassim M. Haddad1School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USASchool of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USAIn this paper, we develop momentum-based adaptive update laws for parameter identification and control to improve parameter estimation error convergence and control system performance for uncertain dynamical systems. Specifically, we introduce three novel continuous-time, momentum-based adaptive estimation and control algorithms and evaluate their effectiveness via several numerical examples. Our proposed adaptive architectures show faster parameter convergence rates as compared to the classical gradient descent and model reference adaptive control methods.https://www.mdpi.com/2226-4310/11/12/1017parameter identificationonline learningMRACmomentum-based learninghigh-order tunersexponential convergence
spellingShingle Luke Somers
Wassim M. Haddad
Momentum-Based Adaptive Laws for Identification and Control
Aerospace
parameter identification
online learning
MRAC
momentum-based learning
high-order tuners
exponential convergence
title Momentum-Based Adaptive Laws for Identification and Control
title_full Momentum-Based Adaptive Laws for Identification and Control
title_fullStr Momentum-Based Adaptive Laws for Identification and Control
title_full_unstemmed Momentum-Based Adaptive Laws for Identification and Control
title_short Momentum-Based Adaptive Laws for Identification and Control
title_sort momentum based adaptive laws for identification and control
topic parameter identification
online learning
MRAC
momentum-based learning
high-order tuners
exponential convergence
url https://www.mdpi.com/2226-4310/11/12/1017
work_keys_str_mv AT lukesomers momentumbasedadaptivelawsforidentificationandcontrol
AT wassimmhaddad momentumbasedadaptivelawsforidentificationandcontrol