Stabilization of Nonlinear Systems with External Disturbances Using the DE-Based Control Method
This paper investigates the stabilization of nonlinear systems with external disturbances, which are both bounded and unbounded. Firstly, the stabilization problem of the nominal nonlinear system is realized, and the corresponding stabilization controllers are designed. Then, three suitable filters...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/5/987 |
| _version_ | 1797598244597923840 |
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| author | Keran Sun Xiaolong Wang Rongwei Guo |
| author_facet | Keran Sun Xiaolong Wang Rongwei Guo |
| author_sort | Keran Sun |
| collection | DOAJ |
| description | This paper investigates the stabilization of nonlinear systems with external disturbances, which are both bounded and unbounded. Firstly, the stabilization problem of the nominal nonlinear system is realized, and the corresponding stabilization controllers are designed. Then, three suitable filters are proposed and applied to asymptotically estimate the corresponding disturbances, and the disturbance estimators are presented and used to exactly eliminate the corresponding disturbances. Then, the disturbance estimator (DE)-based controllers are proposed to stabilize such nonlinear systems. It should be pointed out the unbounded disturbances are exactly estimated by suitable filters, which has advantages over the existing results. Finally, two illustrative examples, which have certain symmetrical properties, are taken, and the related numerical simulations are carried out to verify the effectiveness and correctness of the proposed results. |
| first_indexed | 2024-03-11T03:16:36Z |
| format | Article |
| id | doaj.art-a8b0214593f24dc4a0eaead397144ea0 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T03:16:36Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-a8b0214593f24dc4a0eaead397144ea02023-11-18T03:29:17ZengMDPI AGSymmetry2073-89942023-04-0115598710.3390/sym15050987Stabilization of Nonlinear Systems with External Disturbances Using the DE-Based Control MethodKeran Sun0Xiaolong Wang1Rongwei Guo2School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaSchool of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaSchool of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaThis paper investigates the stabilization of nonlinear systems with external disturbances, which are both bounded and unbounded. Firstly, the stabilization problem of the nominal nonlinear system is realized, and the corresponding stabilization controllers are designed. Then, three suitable filters are proposed and applied to asymptotically estimate the corresponding disturbances, and the disturbance estimators are presented and used to exactly eliminate the corresponding disturbances. Then, the disturbance estimator (DE)-based controllers are proposed to stabilize such nonlinear systems. It should be pointed out the unbounded disturbances are exactly estimated by suitable filters, which has advantages over the existing results. Finally, two illustrative examples, which have certain symmetrical properties, are taken, and the related numerical simulations are carried out to verify the effectiveness and correctness of the proposed results.https://www.mdpi.com/2073-8994/15/5/987symmetrystabilizationdisturbancefilterestimatorunbounded |
| spellingShingle | Keran Sun Xiaolong Wang Rongwei Guo Stabilization of Nonlinear Systems with External Disturbances Using the DE-Based Control Method Symmetry symmetry stabilization disturbance filter estimator unbounded |
| title | Stabilization of Nonlinear Systems with External Disturbances Using the DE-Based Control Method |
| title_full | Stabilization of Nonlinear Systems with External Disturbances Using the DE-Based Control Method |
| title_fullStr | Stabilization of Nonlinear Systems with External Disturbances Using the DE-Based Control Method |
| title_full_unstemmed | Stabilization of Nonlinear Systems with External Disturbances Using the DE-Based Control Method |
| title_short | Stabilization of Nonlinear Systems with External Disturbances Using the DE-Based Control Method |
| title_sort | stabilization of nonlinear systems with external disturbances using the de based control method |
| topic | symmetry stabilization disturbance filter estimator unbounded |
| url | https://www.mdpi.com/2073-8994/15/5/987 |
| work_keys_str_mv | AT keransun stabilizationofnonlinearsystemswithexternaldisturbancesusingthedebasedcontrolmethod AT xiaolongwang stabilizationofnonlinearsystemswithexternaldisturbancesusingthedebasedcontrolmethod AT rongweiguo stabilizationofnonlinearsystemswithexternaldisturbancesusingthedebasedcontrolmethod |