Robust control on saturated Markov jump systems with missing information
In this paper, a robust H8 controller is designed for saturated Markov jump systems with uncertainties and time varying transition probabilities. The time-varying transition probability uncertainty is described as a polytope set. Stochastic stability is analyzed for the underlying systems by Lyapuno...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier Inc
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/52063 |
| _version_ | 1848758835454410752 |
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| author | Shi, P. Yin, YanYan Liu, F. Zhang, J. |
| author_facet | Shi, P. Yin, YanYan Liu, F. Zhang, J. |
| author_sort | Shi, P. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, a robust H8 controller is designed for saturated Markov jump systems with uncertainties and time varying transition probabilities. The time-varying transition probability uncertainty is described as a polytope set. Stochastic stability is analyzed for the underlying systems by Lyapunov function approach and a sufficient condition is derived to design controllers such that the resulting closed-loop system is stochastically stable and a prescribed H8 performance is also achieved. Furthermore, the attraction domain of this Markov jump system is estimated and evaluated. A simulation example is given to show the effectiveness of the developed techniques. © 2013 Elsevier Inc. All rights reserved. |
| first_indexed | 2025-11-14T09:50:18Z |
| format | Journal Article |
| id | curtin-20.500.11937-52063 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:18Z |
| publishDate | 2014 |
| publisher | Elsevier Inc |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-520632017-09-13T15:40:23Z Robust control on saturated Markov jump systems with missing information Shi, P. Yin, YanYan Liu, F. Zhang, J. In this paper, a robust H8 controller is designed for saturated Markov jump systems with uncertainties and time varying transition probabilities. The time-varying transition probability uncertainty is described as a polytope set. Stochastic stability is analyzed for the underlying systems by Lyapunov function approach and a sufficient condition is derived to design controllers such that the resulting closed-loop system is stochastically stable and a prescribed H8 performance is also achieved. Furthermore, the attraction domain of this Markov jump system is estimated and evaluated. A simulation example is given to show the effectiveness of the developed techniques. © 2013 Elsevier Inc. All rights reserved. 2014 Journal Article http://hdl.handle.net/20.500.11937/52063 10.1016/j.ins.2013.12.050 Elsevier Inc restricted |
| spellingShingle | Shi, P. Yin, YanYan Liu, F. Zhang, J. Robust control on saturated Markov jump systems with missing information |
| title | Robust control on saturated Markov jump systems with missing information |
| title_full | Robust control on saturated Markov jump systems with missing information |
| title_fullStr | Robust control on saturated Markov jump systems with missing information |
| title_full_unstemmed | Robust control on saturated Markov jump systems with missing information |
| title_short | Robust control on saturated Markov jump systems with missing information |
| title_sort | robust control on saturated markov jump systems with missing information |
| url | http://hdl.handle.net/20.500.11937/52063 |