Robust stabilization of input constrained uncertain systems with nonhomogeneous Markov switching
© 2016 IEEE.This paper addresses the problem of robust stabilization for uncertain systems subject to input saturation and nonhomogeneous Markov jumps. The uncertainties are assumed to be norm bounded and the transition probabilities are time-varying and unknown. By expressing the saturated linear f...
| Main Authors: | , |
|---|---|
| Format: | Conference Paper |
| Published: |
2016
|
| Online Access: | http://hdl.handle.net/20.500.11937/52207 |
| _version_ | 1848758872402034688 |
|---|---|
| author | Yin, YanYan Lin, Z. |
| author_facet | Yin, YanYan Lin, Z. |
| author_sort | Yin, YanYan |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016 IEEE.This paper addresses the problem of robust stabilization for uncertain systems subject to input saturation and nonhomogeneous Markov jumps. The uncertainties are assumed to be norm bounded and the transition probabilities are time-varying and unknown. By expressing the saturated linear feedback law on a convex hull of a group of auxiliary linear feedback laws and the time-varying transition probabilities inside a polytope, we establish conditions under which the closed-loop system is asymptotically stable. Based on these conditions, the problem of designing the state feedback gains for achieving fast transience response with a guaranteed size of the domain of attraction is formulated and solved as a constrained optimization problem with linear matrix inequality (LMI) constraints. The results are then illustrated by a numerical example. |
| first_indexed | 2025-11-14T09:50:53Z |
| format | Conference Paper |
| id | curtin-20.500.11937-52207 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:53Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-522072017-09-13T15:40:02Z Robust stabilization of input constrained uncertain systems with nonhomogeneous Markov switching Yin, YanYan Lin, Z. © 2016 IEEE.This paper addresses the problem of robust stabilization for uncertain systems subject to input saturation and nonhomogeneous Markov jumps. The uncertainties are assumed to be norm bounded and the transition probabilities are time-varying and unknown. By expressing the saturated linear feedback law on a convex hull of a group of auxiliary linear feedback laws and the time-varying transition probabilities inside a polytope, we establish conditions under which the closed-loop system is asymptotically stable. Based on these conditions, the problem of designing the state feedback gains for achieving fast transience response with a guaranteed size of the domain of attraction is formulated and solved as a constrained optimization problem with linear matrix inequality (LMI) constraints. The results are then illustrated by a numerical example. 2016 Conference Paper http://hdl.handle.net/20.500.11937/52207 10.1109/CCDC.2016.7531418 restricted |
| spellingShingle | Yin, YanYan Lin, Z. Robust stabilization of input constrained uncertain systems with nonhomogeneous Markov switching |
| title | Robust stabilization of input constrained uncertain systems with nonhomogeneous Markov switching |
| title_full | Robust stabilization of input constrained uncertain systems with nonhomogeneous Markov switching |
| title_fullStr | Robust stabilization of input constrained uncertain systems with nonhomogeneous Markov switching |
| title_full_unstemmed | Robust stabilization of input constrained uncertain systems with nonhomogeneous Markov switching |
| title_short | Robust stabilization of input constrained uncertain systems with nonhomogeneous Markov switching |
| title_sort | robust stabilization of input constrained uncertain systems with nonhomogeneous markov switching |
| url | http://hdl.handle.net/20.500.11937/52207 |