Linearization of discrete-time control system by state transformation
This paper presents necessary and sufficient linearizability conditions by state transformation for discrete-time multi-input nonlinear control system under the mild assumption on the surjectivity property and describes how to find the state transformation when it exists. The conditions are formulat...
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| Format: | Article |
| Language: | English |
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Estonian Academy Publishers
2021-02-01
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| Series: | Proceedings of the Estonian Academy of Sciences |
| Subjects: | |
| Online Access: | https://kirj.ee/wp-content/plugins/kirj/pub/proc-1-2021-62-79_20210630094644.pdf |
| _version_ | 1817999530606460928 |
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| author | Tanel Mullari Ülle Kotta |
| author_facet | Tanel Mullari Ülle Kotta |
| author_sort | Tanel Mullari |
| collection | DOAJ |
| description | This paper presents necessary and sufficient linearizability conditions by state transformation for discrete-time multi-input nonlinear control system under the mild assumption on the surjectivity property and describes how to find the state transformation when it exists. The conditions are formulated in terms of backward shifts of vector fields, defined by the system dynamics. The conditions are compared with those that allow additionally the regular static state feedback. The theory is illustrated by two examples. |
| first_indexed | 2024-04-14T03:09:06Z |
| format | Article |
| id | doaj.art-2c880f3bfc14457db1d714b9ba00b269 |
| institution | Directory Open Access Journal |
| issn | 1736-6046 1736-7530 |
| language | English |
| last_indexed | 2024-04-14T03:09:06Z |
| publishDate | 2021-02-01 |
| publisher | Estonian Academy Publishers |
| record_format | Article |
| series | Proceedings of the Estonian Academy of Sciences |
| spelling | doaj.art-2c880f3bfc14457db1d714b9ba00b2692022-12-22T02:15:38ZengEstonian Academy PublishersProceedings of the Estonian Academy of Sciences1736-60461736-75302021-02-01701627910.3176/proc.2021.1.0910.3176/proc.2021.1.09Linearization of discrete-time control system by state transformationTanel Mullari0Ülle Kotta1Department of Cybernetics, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia; tanel.mullari@taltech.eeDepartment of Software Sciences, Tallinn University of Technology, Akadeemia tee 21b, 12618 Tallinn, Estonia This paper presents necessary and sufficient linearizability conditions by state transformation for discrete-time multi-input nonlinear control system under the mild assumption on the surjectivity property and describes how to find the state transformation when it exists. The conditions are formulated in terms of backward shifts of vector fields, defined by the system dynamics. The conditions are compared with those that allow additionally the regular static state feedback. The theory is illustrated by two examples.https://kirj.ee/wp-content/plugins/kirj/pub/proc-1-2021-62-79_20210630094644.pdfnonlinear control systemdiscrete-time systembackward shifts of vector fieldsstate linearizability. |
| spellingShingle | Tanel Mullari Ülle Kotta Linearization of discrete-time control system by state transformation Proceedings of the Estonian Academy of Sciences nonlinear control system discrete-time system backward shifts of vector fields state linearizability. |
| title | Linearization of discrete-time control system by state transformation |
| title_full | Linearization of discrete-time control system by state transformation |
| title_fullStr | Linearization of discrete-time control system by state transformation |
| title_full_unstemmed | Linearization of discrete-time control system by state transformation |
| title_short | Linearization of discrete-time control system by state transformation |
| title_sort | linearization of discrete time control system by state transformation |
| topic | nonlinear control system discrete-time system backward shifts of vector fields state linearizability. |
| url | https://kirj.ee/wp-content/plugins/kirj/pub/proc-1-2021-62-79_20210630094644.pdf |
| work_keys_str_mv | AT tanelmullari linearizationofdiscretetimecontrolsystembystatetransformation AT ullekotta linearizationofdiscretetimecontrolsystembystatetransformation |