A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures
This paper presents a new theoretical approach to the study of robotics manipulators dynamics. It is based on the well-known geometric approach to system dynamics, according to which some axiomatic definitions of geometric structures concerning invariant subspaces are used. In such a framework, cert...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/7/309 |
| _version_ | 1797440893110714368 |
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| author | Paolo Mercorelli |
| author_facet | Paolo Mercorelli |
| author_sort | Paolo Mercorelli |
| collection | DOAJ |
| description | This paper presents a new theoretical approach to the study of robotics manipulators dynamics. It is based on the well-known geometric approach to system dynamics, according to which some axiomatic definitions of geometric structures concerning invariant subspaces are used. In such a framework, certain typical problems in robotics are mathematically formalised and analysed in axiomatic form. The outcomes are sufficiently general that it is possible to discuss the structural properties of robotic manipulation. A generalized theoretical linear model is used, and a thorough analysis is made. The noninteracting nature of this model is also proven through a specific theorem. |
| first_indexed | 2024-03-09T12:14:59Z |
| format | Article |
| id | doaj.art-91cf1baa822a4f5ea15dc5540c9a65f5 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T12:14:59Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-91cf1baa822a4f5ea15dc5540c9a65f52023-11-30T22:47:35ZengMDPI AGAxioms2075-16802022-06-0111730910.3390/axioms11070309A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric StructuresPaolo Mercorelli0Institute of Product and Process Innovation, Leuphana University of Lueneburg, Universitaetsallee 1, D-21335 Lueneburg, GermanyThis paper presents a new theoretical approach to the study of robotics manipulators dynamics. It is based on the well-known geometric approach to system dynamics, according to which some axiomatic definitions of geometric structures concerning invariant subspaces are used. In such a framework, certain typical problems in robotics are mathematically formalised and analysed in axiomatic form. The outcomes are sufficiently general that it is possible to discuss the structural properties of robotic manipulation. A generalized theoretical linear model is used, and a thorough analysis is made. The noninteracting nature of this model is also proven through a specific theorem.https://www.mdpi.com/2075-1680/11/7/309manipulation systemgeometric approachnoninteraction |
| spellingShingle | Paolo Mercorelli A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures Axioms manipulation system geometric approach noninteraction |
| title | A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures |
| title_full | A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures |
| title_fullStr | A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures |
| title_full_unstemmed | A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures |
| title_short | A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures |
| title_sort | theoretical dynamical noninteracting model for general manipulation systems using axiomatic geometric structures |
| topic | manipulation system geometric approach noninteraction |
| url | https://www.mdpi.com/2075-1680/11/7/309 |
| work_keys_str_mv | AT paolomercorelli atheoreticaldynamicalnoninteractingmodelforgeneralmanipulationsystemsusingaxiomaticgeometricstructures AT paolomercorelli theoreticaldynamicalnoninteractingmodelforgeneralmanipulationsystemsusingaxiomaticgeometricstructures |