Majorant-Based Control Methodology for Mechatronic and Transportation Processes

This paper provides a unified approach via majorant systems, which allows one to easily design a family of robust, smooth and effective control laws of proportional - <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula> order integral - <i...

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Autores principales: Laura Celentano, Michael V. Basin, Peng Shi
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Lenguaje:EN
Publicado: IEEE 2021
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spelling oai:doaj.org-article:6bcf499df3044e9c86fa8be553726b462021-12-03T00:01:21ZMajorant-Based Control Methodology for Mechatronic and Transportation Processes2169-353610.1109/ACCESS.2021.3126123https://doaj.org/article/6bcf499df3044e9c86fa8be553726b462021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9605686/https://doaj.org/toc/2169-3536This paper provides a unified approach via majorant systems, which allows one to easily design a family of robust, smooth and effective control laws of proportional - <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula> order integral - <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> order derivative <inline-formula> <tex-math notation="LaTeX">$(PI_{h} D_{k})$ </tex-math></inline-formula>-type for broad classes of uncertain nonlinear multi-input multi-output (MIMO) systems, including mechatronic and transportation processes with ideal or real actuators, subject to bounded disturbances and measurement errors. The proposed control laws are simple to design and implement and are used, acting on a single design parameter, to track a sufficiently smooth but generic reference signal, yielding a tracking error norm less than a prescribed value, with a good transient phase and feasible control signals, despite the presence of disturbances, parametric and structural uncertainties, measurement errors, and in case of real actuators and amplifiers. Moreover, some guidelines to easily design the proposed controllers are given. Finally, the stated unified methodology and various performance comparisons are illustrated and validated in two case studies.Laura CelentanoMichael V. BasinPeng ShiIEEEarticleUncertain nonlinear MIMO systemsmechatronic processestransportation systems(<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">PIhDk</italic>)-type control lawsrobust controlmajorant systemsElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 157916-157939 (2021)
institution DOAJ
collection DOAJ
language EN
topic Uncertain nonlinear MIMO systems
mechatronic processes
transportation systems
(<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">PIhDk</italic>)-type control laws
robust control
majorant systems
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
spellingShingle Uncertain nonlinear MIMO systems
mechatronic processes
transportation systems
(<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">PIhDk</italic>)-type control laws
robust control
majorant systems
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
Laura Celentano
Michael V. Basin
Peng Shi
Majorant-Based Control Methodology for Mechatronic and Transportation Processes
description This paper provides a unified approach via majorant systems, which allows one to easily design a family of robust, smooth and effective control laws of proportional - <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula> order integral - <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> order derivative <inline-formula> <tex-math notation="LaTeX">$(PI_{h} D_{k})$ </tex-math></inline-formula>-type for broad classes of uncertain nonlinear multi-input multi-output (MIMO) systems, including mechatronic and transportation processes with ideal or real actuators, subject to bounded disturbances and measurement errors. The proposed control laws are simple to design and implement and are used, acting on a single design parameter, to track a sufficiently smooth but generic reference signal, yielding a tracking error norm less than a prescribed value, with a good transient phase and feasible control signals, despite the presence of disturbances, parametric and structural uncertainties, measurement errors, and in case of real actuators and amplifiers. Moreover, some guidelines to easily design the proposed controllers are given. Finally, the stated unified methodology and various performance comparisons are illustrated and validated in two case studies.
format article
author Laura Celentano
Michael V. Basin
Peng Shi
author_facet Laura Celentano
Michael V. Basin
Peng Shi
author_sort Laura Celentano
title Majorant-Based Control Methodology for Mechatronic and Transportation Processes
title_short Majorant-Based Control Methodology for Mechatronic and Transportation Processes
title_full Majorant-Based Control Methodology for Mechatronic and Transportation Processes
title_fullStr Majorant-Based Control Methodology for Mechatronic and Transportation Processes
title_full_unstemmed Majorant-Based Control Methodology for Mechatronic and Transportation Processes
title_sort majorant-based control methodology for mechatronic and transportation processes
publisher IEEE
publishDate 2021
url https://doaj.org/article/6bcf499df3044e9c86fa8be553726b46
work_keys_str_mv AT lauracelentano majorantbasedcontrolmethodologyformechatronicandtransportationprocesses
AT michaelvbasin majorantbasedcontrolmethodologyformechatronicandtransportationprocesses
AT pengshi majorantbasedcontrolmethodologyformechatronicandtransportationprocesses
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