Event-triggered probabilistic robust control of linear systems with input constrains: By scenario optimization approach
This paper addresses the problem of probabilistic robust stabilization for uncertain systems subject to input saturation. A new probabilistic solution framework for robust control analysis and synthesis problems is addressed by a scenario optimization approach, in which the uncertainties are not ass...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
John Wiley & Sons Ltd.
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/54769 |
| _version_ | 1848759455984910336 |
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| author | Yin, YanYan Liu, Y. Teo, Kok Lay Wang, S. |
| author_facet | Yin, YanYan Liu, Y. Teo, Kok Lay Wang, S. |
| author_sort | Yin, YanYan |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper addresses the problem of probabilistic robust stabilization for uncertain systems subject to input saturation. A new probabilistic solution framework for robust control analysis and synthesis problems is addressed by a scenario optimization approach, in which the uncertainties are not assumed to be norm bounded. Furthermore, by expressing the saturated linear feedback law on a convex hull of a group of auxiliary linear feedback laws, we establish conditions under which the closed-loop system is probabilistic stable. Based on these conditions, the problem of designing the state feedback gains for achieving the largest size of the domain of attraction is formulated and solved as a constrained optimization problem with linear matrix inequality constraints. The results are then illustrated by a numerical example. |
| first_indexed | 2025-11-14T10:00:10Z |
| format | Journal Article |
| id | curtin-20.500.11937-54769 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:00:10Z |
| publishDate | 2017 |
| publisher | John Wiley & Sons Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-547692018-01-03T08:34:05Z Event-triggered probabilistic robust control of linear systems with input constrains: By scenario optimization approach Yin, YanYan Liu, Y. Teo, Kok Lay Wang, S. This paper addresses the problem of probabilistic robust stabilization for uncertain systems subject to input saturation. A new probabilistic solution framework for robust control analysis and synthesis problems is addressed by a scenario optimization approach, in which the uncertainties are not assumed to be norm bounded. Furthermore, by expressing the saturated linear feedback law on a convex hull of a group of auxiliary linear feedback laws, we establish conditions under which the closed-loop system is probabilistic stable. Based on these conditions, the problem of designing the state feedback gains for achieving the largest size of the domain of attraction is formulated and solved as a constrained optimization problem with linear matrix inequality constraints. The results are then illustrated by a numerical example. 2017 Journal Article http://hdl.handle.net/20.500.11937/54769 10.1002/rnc.3858 John Wiley & Sons Ltd. unknown |
| spellingShingle | Yin, YanYan Liu, Y. Teo, Kok Lay Wang, S. Event-triggered probabilistic robust control of linear systems with input constrains: By scenario optimization approach |
| title | Event-triggered probabilistic robust control of linear systems with input constrains: By scenario optimization approach |
| title_full | Event-triggered probabilistic robust control of linear systems with input constrains: By scenario optimization approach |
| title_fullStr | Event-triggered probabilistic robust control of linear systems with input constrains: By scenario optimization approach |
| title_full_unstemmed | Event-triggered probabilistic robust control of linear systems with input constrains: By scenario optimization approach |
| title_short | Event-triggered probabilistic robust control of linear systems with input constrains: By scenario optimization approach |
| title_sort | event-triggered probabilistic robust control of linear systems with input constrains: by scenario optimization approach |
| url | http://hdl.handle.net/20.500.11937/54769 |