Stabilization of discrete-time Markovian jump systems with partially unknown transition probabilities
In this paper the stabilization problem for a class of discrete-time Markovian jump system with partially unknown transition probabilities is investigated via using the time-delayed and impulsive controllers. As some elements in transition matrix are unknown, a new approach is proposed to estimate t...
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| Format: | Journal Article |
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American Institute of Mathematical Sciences
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/38061 |
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curtin-20.500.11937-38061 |
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eprints |
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curtin-20.500.11937-380612017-09-13T16:09:21Z Stabilization of discrete-time Markovian jump systems with partially unknown transition probabilities Zhang, Q. Wang, G. Liu, Wan-Quan Zhang, Y. In this paper the stabilization problem for a class of discrete-time Markovian jump system with partially unknown transition probabilities is investigated via using the time-delayed and impulsive controllers. As some elements in transition matrix are unknown, a new approach is proposed to estimate the unknown elements, in which an impulsive stabilizing controller depending on time delays and system mode is presented in terms of linear matrix inequalities (LMIs) with equality constraints. Especially, if there are no time delays and impulsive effects in the controller, it is derived that the conditions for the existence of H∞ controller can be expressed by LMIs without equality constraints. Finally, illustrative examples are presented to show the benefits and the validity of the proposed approaches. 2011 Journal Article http://hdl.handle.net/20.500.11937/38061 10.3934/dcdsb.2011.16.1197 American Institute of Mathematical Sciences unknown |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Curtin University Malaysia |
| building |
Curtin Institutional Repository |
| collection |
Online Access |
| description |
In this paper the stabilization problem for a class of discrete-time Markovian jump system with partially unknown transition probabilities is investigated via using the time-delayed and impulsive controllers. As some elements in transition matrix are unknown, a new approach is proposed to estimate the unknown elements, in which an impulsive stabilizing controller depending on time delays and system mode is presented in terms of linear matrix inequalities (LMIs) with equality constraints. Especially, if there are no time delays and impulsive effects in the controller, it is derived that the conditions for the existence of H∞ controller can be expressed by LMIs without equality constraints. Finally, illustrative examples are presented to show the benefits and the validity of the proposed approaches. |
| format |
Journal Article |
| author |
Zhang, Q. Wang, G. Liu, Wan-Quan Zhang, Y. |
| spellingShingle |
Zhang, Q. Wang, G. Liu, Wan-Quan Zhang, Y. Stabilization of discrete-time Markovian jump systems with partially unknown transition probabilities |
| author_facet |
Zhang, Q. Wang, G. Liu, Wan-Quan Zhang, Y. |
| author_sort |
Zhang, Q. |
| title |
Stabilization of discrete-time Markovian jump systems with partially unknown transition probabilities |
| title_short |
Stabilization of discrete-time Markovian jump systems with partially unknown transition probabilities |
| title_full |
Stabilization of discrete-time Markovian jump systems with partially unknown transition probabilities |
| title_fullStr |
Stabilization of discrete-time Markovian jump systems with partially unknown transition probabilities |
| title_full_unstemmed |
Stabilization of discrete-time Markovian jump systems with partially unknown transition probabilities |
| title_sort |
stabilization of discrete-time markovian jump systems with partially unknown transition probabilities |
| publisher |
American Institute of Mathematical Sciences |
| publishDate |
2011 |
| url |
http://hdl.handle.net/20.500.11937/38061 |
| first_indexed |
2018-09-06T22:42:39Z |
| last_indexed |
2018-09-06T22:42:39Z |
| _version_ |
1610899794100748288 |