Stabilization of Switched Time-Delay Linear Systems through a State-Dependent Switching Strategy
This paper considers the problem of stabilizing switched time-delay linear systems through a state-dependent switching strategy. In contrast to the existing works, we adopt a less restrictive assumption of the system, and show that this assumption is sufficient to guarantee asymptotic stability of t...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-10-01
|
| Series: | Actuators |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-0825/10/10/261 |
| _version_ | 1797515668041498624 |
|---|---|
| author | Tan Hou Yuanlong Li Zongli Lin |
| author_facet | Tan Hou Yuanlong Li Zongli Lin |
| author_sort | Tan Hou |
| collection | DOAJ |
| description | This paper considers the problem of stabilizing switched time-delay linear systems through a state-dependent switching strategy. In contrast to the existing works, we adopt a less restrictive assumption of the system, and show that this assumption is sufficient to guarantee asymptotic stability of the considered system under the min-projection switching strategy. Our results also imply that the min-projection switching strategy, originally designed for delay-free switched systems, is robust with respect to small state delays. An optimization problem is formulated to estimate the upper bound of the tolerable time delay. Numerical examples are presented to show that our method is applicable to a larger class of switched systems and leads to a greater delay bound. |
| first_indexed | 2024-03-10T06:48:26Z |
| format | Article |
| id | doaj.art-aa1957667c204daa96f7ffe8c409c891 |
| institution | Directory Open Access Journal |
| issn | 2076-0825 |
| language | English |
| last_indexed | 2024-03-10T06:48:26Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Actuators |
| spelling | doaj.art-aa1957667c204daa96f7ffe8c409c8912023-11-22T17:03:08ZengMDPI AGActuators2076-08252021-10-01101026110.3390/act10100261Stabilization of Switched Time-Delay Linear Systems through a State-Dependent Switching StrategyTan Hou0Yuanlong Li1Zongli Lin2Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, ChinaDepartment of Automation, Shanghai Jiao Tong University, Shanghai 200240, ChinaCharles L. Brown Department of Electrical and Computer Engineering, University of Virginia, P.O. Box 400743, Charlottesville, VA 22904-4743, USAThis paper considers the problem of stabilizing switched time-delay linear systems through a state-dependent switching strategy. In contrast to the existing works, we adopt a less restrictive assumption of the system, and show that this assumption is sufficient to guarantee asymptotic stability of the considered system under the min-projection switching strategy. Our results also imply that the min-projection switching strategy, originally designed for delay-free switched systems, is robust with respect to small state delays. An optimization problem is formulated to estimate the upper bound of the tolerable time delay. Numerical examples are presented to show that our method is applicable to a larger class of switched systems and leads to a greater delay bound.https://www.mdpi.com/2076-0825/10/10/261asymptotic stabilitydelay boundsliding motionstate-dependent switchingswitched systemtime-varying delay |
| spellingShingle | Tan Hou Yuanlong Li Zongli Lin Stabilization of Switched Time-Delay Linear Systems through a State-Dependent Switching Strategy Actuators asymptotic stability delay bound sliding motion state-dependent switching switched system time-varying delay |
| title | Stabilization of Switched Time-Delay Linear Systems through a State-Dependent Switching Strategy |
| title_full | Stabilization of Switched Time-Delay Linear Systems through a State-Dependent Switching Strategy |
| title_fullStr | Stabilization of Switched Time-Delay Linear Systems through a State-Dependent Switching Strategy |
| title_full_unstemmed | Stabilization of Switched Time-Delay Linear Systems through a State-Dependent Switching Strategy |
| title_short | Stabilization of Switched Time-Delay Linear Systems through a State-Dependent Switching Strategy |
| title_sort | stabilization of switched time delay linear systems through a state dependent switching strategy |
| topic | asymptotic stability delay bound sliding motion state-dependent switching switched system time-varying delay |
| url | https://www.mdpi.com/2076-0825/10/10/261 |
| work_keys_str_mv | AT tanhou stabilizationofswitchedtimedelaylinearsystemsthroughastatedependentswitchingstrategy AT yuanlongli stabilizationofswitchedtimedelaylinearsystemsthroughastatedependentswitchingstrategy AT zonglilin stabilizationofswitchedtimedelaylinearsystemsthroughastatedependentswitchingstrategy |