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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2021
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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) |
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DOAJ |
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EN |
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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 |
_version_ |
1718373992421654528 |