On the existence of Equivalent-Input-Disturbance and multiple integral augmentation via H-Infinity Synthesis for unmatched systems

On the existence of Equivalent-Input-Disturbance and multiple integral augmentation via H-Infinity Synthesis for unmatched systems

In this paper, the existence of a solution for the transformation of the disturbances from the unmatched cases to the matched one is investigated. The usage of matched/unmatched disturbance notions and the underlying assumptions are clarified. Then, a simplified definition is introduced to obtain a...

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Main Authors: Kürkçü, Burak, Kasnakoğlu, Coşku, Efe, Mehmet Önder, Su, Rong
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2022
Subjects:
Engineering::Electrical and electronic engineering
Multiple Integral Augmentation
Hamiltonian Matrices
Online Access:https://hdl.handle.net/10356/163841
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1638412022-12-19T08:15:51Z On the existence of Equivalent-Input-Disturbance and multiple integral augmentation via H-Infinity Synthesis for unmatched systems Kürkçü, Burak Kasnakoğlu, Coşku Efe, Mehmet Önder Su, Rong School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Multiple Integral Augmentation Hamiltonian Matrices In this paper, the existence of a solution for the transformation of the disturbances from the unmatched cases to the matched one is investigated. The usage of matched/unmatched disturbance notions and the underlying assumptions are clarified. Then, a simplified definition is introduced to obtain a set of performance metrics to be used in observer design. Using bilinear pole shifting and multiple integral augmentation to the plant, not only the stabilizability/detectability conditions but also infinity-norm bounds for unstable MIMO systems are derived. Then, the solvability of the augmented Hamiltonian matrices to get stabilizing solutions via standard H∞-Synthesis is explained. Finally, the solutions, definitions, and assumptions are validated through numerical examples. 2022-12-19T08:15:51Z 2022-12-19T08:15:51Z 2022 Journal Article Kürkçü, B., Kasnakoğlu, C., Efe, M. Ö. & Su, R. (2022). On the existence of Equivalent-Input-Disturbance and multiple integral augmentation via H-Infinity Synthesis for unmatched systems. ISA Transactions, 131, 299-310. https://dx.doi.org/10.1016/j.isatra.2022.04.044 0019-0578 https://hdl.handle.net/10356/163841 10.1016/j.isatra.2022.04.044 35570150 2-s2.0-85130335341 131 299 310 en ISA Transactions © 2022 ISA. Published by Elsevier Ltd. All rights reserved.
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Multiple Integral Augmentation
Hamiltonian Matrices
spellingShingle Engineering::Electrical and electronic engineering
Multiple Integral Augmentation
Hamiltonian Matrices
Kürkçü, Burak
Kasnakoğlu, Coşku
Efe, Mehmet Önder
Su, Rong
On the existence of Equivalent-Input-Disturbance and multiple integral augmentation via H-Infinity Synthesis for unmatched systems
description In this paper, the existence of a solution for the transformation of the disturbances from the unmatched cases to the matched one is investigated. The usage of matched/unmatched disturbance notions and the underlying assumptions are clarified. Then, a simplified definition is introduced to obtain a set of performance metrics to be used in observer design. Using bilinear pole shifting and multiple integral augmentation to the plant, not only the stabilizability/detectability conditions but also infinity-norm bounds for unstable MIMO systems are derived. Then, the solvability of the augmented Hamiltonian matrices to get stabilizing solutions via standard H∞-Synthesis is explained. Finally, the solutions, definitions, and assumptions are validated through numerical examples.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Kürkçü, Burak
Kasnakoğlu, Coşku
Efe, Mehmet Önder
Su, Rong
format Article
author Kürkçü, Burak
Kasnakoğlu, Coşku
Efe, Mehmet Önder
Su, Rong
author_sort Kürkçü, Burak
title On the existence of Equivalent-Input-Disturbance and multiple integral augmentation via H-Infinity Synthesis for unmatched systems
title_short On the existence of Equivalent-Input-Disturbance and multiple integral augmentation via H-Infinity Synthesis for unmatched systems
title_full On the existence of Equivalent-Input-Disturbance and multiple integral augmentation via H-Infinity Synthesis for unmatched systems
title_fullStr On the existence of Equivalent-Input-Disturbance and multiple integral augmentation via H-Infinity Synthesis for unmatched systems
title_full_unstemmed On the existence of Equivalent-Input-Disturbance and multiple integral augmentation via H-Infinity Synthesis for unmatched systems
title_sort on the existence of equivalent-input-disturbance and multiple integral augmentation via h-infinity synthesis for unmatched systems
publishDate 2022
url https://hdl.handle.net/10356/163841
_version_ 1753801163693621248

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