Robust output trajectory linearisation control for a class of linear time‐varying systems
Abstract The trajectory linearisation control of a non‐linear system using only output information and considering the presence of matched and unmatched uncertainties/perturbations is presented. A continuous sliding mode controller is used to achieve finite‐time tracking of a given continuous time‐v...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-04-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12090 |
| _version_ | 1798033390948057088 |
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| author | Rosalba Galván Guerra Juan Eduardo Velázquez Velázquez Leonid Fridman Rafael Iriarte |
| author_facet | Rosalba Galván Guerra Juan Eduardo Velázquez Velázquez Leonid Fridman Rafael Iriarte |
| author_sort | Rosalba Galván Guerra |
| collection | DOAJ |
| description | Abstract The trajectory linearisation control of a non‐linear system using only output information and considering the presence of matched and unmatched uncertainties/perturbations is presented. A continuous sliding mode controller is used to achieve finite‐time tracking of a given continuous time‐varying reference and assuring theoretically exact reconstruction of the matched and unmatched uncertainties/perturbations. The states are reconstructed theoretically exactly in finite time using a linear time‐varying observer based on a high‐order sliding mode framework. The proposed approach is validated using MATLAB simulations. |
| first_indexed | 2024-04-11T20:29:39Z |
| format | Article |
| id | doaj.art-bcf65c9bcb0d418381cc49f7baee8e06 |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-04-11T20:29:39Z |
| publishDate | 2021-04-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-bcf65c9bcb0d418381cc49f7baee8e062022-12-22T04:04:33ZengWileyIET Control Theory & Applications1751-86441751-86522021-04-0115687788910.1049/cth2.12090Robust output trajectory linearisation control for a class of linear time‐varying systemsRosalba Galván Guerra0Juan Eduardo Velázquez Velázquez1Leonid Fridman2Rafael Iriarte3Unidad Profesional Interdisciplinaria de Ingeniería Campus Hidalgo Instituto Politécnico Nacional San Agustín Tlaxiaca Hidalgo MexicoUnidad Profesional Interdisciplinaria de Ingeniería Campus Hidalgo Instituto Politécnico Nacional San Agustín Tlaxiaca Hidalgo MexicoFacultad de Ingeniería Universidad Nacional Autónoma de México Mexico City MexicoFacultad de Ingeniería Universidad Nacional Autónoma de México Mexico City MexicoAbstract The trajectory linearisation control of a non‐linear system using only output information and considering the presence of matched and unmatched uncertainties/perturbations is presented. A continuous sliding mode controller is used to achieve finite‐time tracking of a given continuous time‐varying reference and assuring theoretically exact reconstruction of the matched and unmatched uncertainties/perturbations. The states are reconstructed theoretically exactly in finite time using a linear time‐varying observer based on a high‐order sliding mode framework. The proposed approach is validated using MATLAB simulations.https://doi.org/10.1049/cth2.12090Spatial variables controlLinear control systemsControl system analysis and synthesis methodsStability in control theoryMultivariable control systemsTime-varying control systems |
| spellingShingle | Rosalba Galván Guerra Juan Eduardo Velázquez Velázquez Leonid Fridman Rafael Iriarte Robust output trajectory linearisation control for a class of linear time‐varying systems IET Control Theory & Applications Spatial variables control Linear control systems Control system analysis and synthesis methods Stability in control theory Multivariable control systems Time-varying control systems |
| title | Robust output trajectory linearisation control for a class of linear time‐varying systems |
| title_full | Robust output trajectory linearisation control for a class of linear time‐varying systems |
| title_fullStr | Robust output trajectory linearisation control for a class of linear time‐varying systems |
| title_full_unstemmed | Robust output trajectory linearisation control for a class of linear time‐varying systems |
| title_short | Robust output trajectory linearisation control for a class of linear time‐varying systems |
| title_sort | robust output trajectory linearisation control for a class of linear time varying systems |
| topic | Spatial variables control Linear control systems Control system analysis and synthesis methods Stability in control theory Multivariable control systems Time-varying control systems |
| url | https://doi.org/10.1049/cth2.12090 |
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