Robust finite-time almost passivity and practical finite-time stability of uncertain switched nonlinear systems
In this paper, the robust finite-time almost passivity and practical finite-time stability of a class of switched nonlinear systems with the structural uncertainties are investigated. First, multiple storage functions are adopted to characterize robust finite-time almost passivity property of uncert...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-06-01
|
| Series: | Franklin Open |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2773186325000787 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849423554215411712 |
|---|---|
| author | Xuelian Gao Hongbo Pang Chensong Li |
| author_facet | Xuelian Gao Hongbo Pang Chensong Li |
| author_sort | Xuelian Gao |
| collection | DOAJ |
| description | In this paper, the robust finite-time almost passivity and practical finite-time stability of a class of switched nonlinear systems with the structural uncertainties are investigated. First, multiple storage functions are adopted to characterize robust finite-time almost passivity property of uncertain switched nonlinear systems, which only requires each subsystem to be passive outside a ball on its active interval. Then, based on the proposed almost passivity concept, practical finite-time stability is obtained. Second, a switching law dependent on states is adopted to make the system robust finite-time almost passive. Third, robust finite-time almost passification is achieved by designing a switching law dependent on the states and a set of robust controllers. The advantage of the designed switching law is that the adjacent storage functions are allowed to increase at each switching point. Finally, an example is provided to verify the validity of the results. |
| format | Article |
| id | doaj-art-d2d6523dd13142efbe902e3f5efd686c |
| institution | Kabale University |
| issn | 2773-1863 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Franklin Open |
| spelling | doaj-art-d2d6523dd13142efbe902e3f5efd686c2025-08-20T03:30:32ZengElsevierFranklin Open2773-18632025-06-011110028810.1016/j.fraope.2025.100288Robust finite-time almost passivity and practical finite-time stability of uncertain switched nonlinear systemsXuelian Gao0Hongbo Pang1Chensong Li2College of Science, Liaoning University of Technology, Jinzhou 121001, PR ChinaCollege of Science, Liaoning University of Technology, Jinzhou 121001, PR China; Corresponding author.Inner Mongolia University for Nationalities, ChinaIn this paper, the robust finite-time almost passivity and practical finite-time stability of a class of switched nonlinear systems with the structural uncertainties are investigated. First, multiple storage functions are adopted to characterize robust finite-time almost passivity property of uncertain switched nonlinear systems, which only requires each subsystem to be passive outside a ball on its active interval. Then, based on the proposed almost passivity concept, practical finite-time stability is obtained. Second, a switching law dependent on states is adopted to make the system robust finite-time almost passive. Third, robust finite-time almost passification is achieved by designing a switching law dependent on the states and a set of robust controllers. The advantage of the designed switching law is that the adjacent storage functions are allowed to increase at each switching point. Finally, an example is provided to verify the validity of the results.http://www.sciencedirect.com/science/article/pii/S2773186325000787Finite-time almost passivitySwitched nonlinear systemsStructural uncertaintyPractical finite-time stabilityFeedback robust almost passification |
| spellingShingle | Xuelian Gao Hongbo Pang Chensong Li Robust finite-time almost passivity and practical finite-time stability of uncertain switched nonlinear systems Franklin Open Finite-time almost passivity Switched nonlinear systems Structural uncertainty Practical finite-time stability Feedback robust almost passification |
| title | Robust finite-time almost passivity and practical finite-time stability of uncertain switched nonlinear systems |
| title_full | Robust finite-time almost passivity and practical finite-time stability of uncertain switched nonlinear systems |
| title_fullStr | Robust finite-time almost passivity and practical finite-time stability of uncertain switched nonlinear systems |
| title_full_unstemmed | Robust finite-time almost passivity and practical finite-time stability of uncertain switched nonlinear systems |
| title_short | Robust finite-time almost passivity and practical finite-time stability of uncertain switched nonlinear systems |
| title_sort | robust finite time almost passivity and practical finite time stability of uncertain switched nonlinear systems |
| topic | Finite-time almost passivity Switched nonlinear systems Structural uncertainty Practical finite-time stability Feedback robust almost passification |
| url | http://www.sciencedirect.com/science/article/pii/S2773186325000787 |
| work_keys_str_mv | AT xueliangao robustfinitetimealmostpassivityandpracticalfinitetimestabilityofuncertainswitchednonlinearsystems AT hongbopang robustfinitetimealmostpassivityandpracticalfinitetimestabilityofuncertainswitchednonlinearsystems AT chensongli robustfinitetimealmostpassivityandpracticalfinitetimestabilityofuncertainswitchednonlinearsystems |