Event-triggered constrained control of positive systems with input saturation
This paper addresses the problem of event-triggered stabilization for positive systems subject to input saturation, where the state variables are in the nonnegative orthant. An event-triggered linear state feedback law is constructed. By expressing the saturated linear state feedback law on a convex...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
John Wiley & Sons Ltd.
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/67781 |
| _version_ | 1848761656465686528 |
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| author | Yin, YanYan Lin, Z. Liu, Y. Teo, Kok Lay |
| author_facet | Yin, YanYan Lin, Z. Liu, Y. Teo, Kok Lay |
| author_sort | Yin, YanYan |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper addresses the problem of event-triggered stabilization for positive systems subject to input saturation, where the state variables are in the nonnegative orthant. An event-triggered linear state feedback law is constructed. By expressing the saturated linear state feedback law on a convex hull of a group of auxiliary linear feedback laws, we establish conditions under which the closed-loop system is asymptotically stable with a given set contained in the domain of attraction. On the basis of these conditions, the problem of designing the feedback gain and the event-triggering strategy for attaining the largest domain of attraction is formulated and solved as an optimization problem with linear matrix inequality constraints. The problem of designing the feedback gain and the event-triggering strategy for achieving fast transience response with a guaranteed size of the domain of attraction is also formulated and solved as an linear matrix inequality problem. The effectiveness of these results is then illustrated by numerical simulation. |
| first_indexed | 2025-11-14T10:35:08Z |
| format | Journal Article |
| id | curtin-20.500.11937-67781 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:35:08Z |
| publishDate | 2018 |
| publisher | John Wiley & Sons Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-677812018-08-08T06:48:44Z Event-triggered constrained control of positive systems with input saturation Yin, YanYan Lin, Z. Liu, Y. Teo, Kok Lay This paper addresses the problem of event-triggered stabilization for positive systems subject to input saturation, where the state variables are in the nonnegative orthant. An event-triggered linear state feedback law is constructed. By expressing the saturated linear state feedback law on a convex hull of a group of auxiliary linear feedback laws, we establish conditions under which the closed-loop system is asymptotically stable with a given set contained in the domain of attraction. On the basis of these conditions, the problem of designing the feedback gain and the event-triggering strategy for attaining the largest domain of attraction is formulated and solved as an optimization problem with linear matrix inequality constraints. The problem of designing the feedback gain and the event-triggering strategy for achieving fast transience response with a guaranteed size of the domain of attraction is also formulated and solved as an linear matrix inequality problem. The effectiveness of these results is then illustrated by numerical simulation. 2018 Journal Article http://hdl.handle.net/20.500.11937/67781 10.1002/rnc.4097 John Wiley & Sons Ltd. restricted |
| spellingShingle | Yin, YanYan Lin, Z. Liu, Y. Teo, Kok Lay Event-triggered constrained control of positive systems with input saturation |
| title | Event-triggered constrained control of positive systems with input saturation |
| title_full | Event-triggered constrained control of positive systems with input saturation |
| title_fullStr | Event-triggered constrained control of positive systems with input saturation |
| title_full_unstemmed | Event-triggered constrained control of positive systems with input saturation |
| title_short | Event-triggered constrained control of positive systems with input saturation |
| title_sort | event-triggered constrained control of positive systems with input saturation |
| url | http://hdl.handle.net/20.500.11937/67781 |