New stability criterion for linear switched systems with time-varying delay
This paper studies the stability problem of a class of linear switched systems with time-varying delay in the sense of Hurwitz convex combination. By designing a parameter-dependent switching law and using a new convex combination technique to deal with delay terms, a new stability criterion is esta...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/102629 http://hdl.handle.net/10220/16870 |
| _version_ | 1811689166620065792 |
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| author | Zhu, Xun-Lin Yang, Hongyong Wang, Youyi Wang, Yu-Long |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Zhu, Xun-Lin Yang, Hongyong Wang, Youyi Wang, Yu-Long |
| author_sort | Zhu, Xun-Lin |
| collection | NTU |
| description | This paper studies the stability problem of a class of linear switched systems with time-varying delay in the sense of Hurwitz convex combination. By designing a parameter-dependent switching law and using a new convex combination technique to deal with delay terms, a new stability criterion is established in terms of LMIs, which is dependent on the parameters of Hurwitz convex combination. The advantage of the new criterion lies in its less conservatism and simplicity. Numerical examples are given to illustrate the effectiveness and the less conservatism of the proposed method. |
| first_indexed | 2024-10-01T05:43:47Z |
| format | Journal Article |
| id | ntu-10356/102629 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:43:47Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/1026292020-03-07T14:00:34Z New stability criterion for linear switched systems with time-varying delay Zhu, Xun-Lin Yang, Hongyong Wang, Youyi Wang, Yu-Long School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering This paper studies the stability problem of a class of linear switched systems with time-varying delay in the sense of Hurwitz convex combination. By designing a parameter-dependent switching law and using a new convex combination technique to deal with delay terms, a new stability criterion is established in terms of LMIs, which is dependent on the parameters of Hurwitz convex combination. The advantage of the new criterion lies in its less conservatism and simplicity. Numerical examples are given to illustrate the effectiveness and the less conservatism of the proposed method. 2013-10-25T01:48:55Z 2019-12-06T20:57:53Z 2013-10-25T01:48:55Z 2019-12-06T20:57:53Z 2012 2012 Journal Article Zhu, X. L., Yang, H., Wang, Y., & Wang, Y. L. (2012). New stability criterion for linear switched systems with time-varying delay. International journal of robust and nonlinear control, in press. 1049-8923 https://hdl.handle.net/10356/102629 http://hdl.handle.net/10220/16870 10.1002/rnc.2882 en International journal of robust and nonlinear control © 2012 John Wiley & Sons, Ltd |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Zhu, Xun-Lin Yang, Hongyong Wang, Youyi Wang, Yu-Long New stability criterion for linear switched systems with time-varying delay |
| title | New stability criterion for linear switched systems with time-varying delay |
| title_full | New stability criterion for linear switched systems with time-varying delay |
| title_fullStr | New stability criterion for linear switched systems with time-varying delay |
| title_full_unstemmed | New stability criterion for linear switched systems with time-varying delay |
| title_short | New stability criterion for linear switched systems with time-varying delay |
| title_sort | new stability criterion for linear switched systems with time varying delay |
| topic | DRNTU::Engineering::Electrical and electronic engineering |
| url | https://hdl.handle.net/10356/102629 http://hdl.handle.net/10220/16870 |
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