Robust control for nonhomogeneous Markov jump processes: An application to DC motor device
This paper studies the problem of robust H8 controller design for a class of uncertain Markov jump systems with time-varying transition probabilities, which follows nonhomogeneous jump processes. The time varying transition probability matrix is described as a polytope set. By Lyapunov function appr...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/52097 |
| _version_ | 1848758845273276416 |
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| author | Yin, YanYan Shi, P. Liu, F. Lim, C. |
| author_facet | Yin, YanYan Shi, P. Liu, F. Lim, C. |
| author_sort | Yin, YanYan |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper studies the problem of robust H8 controller design for a class of uncertain Markov jump systems with time-varying transition probabilities, which follows nonhomogeneous jump processes. The time varying transition probability matrix is described as a polytope set. By Lyapunov function approach, under the designed controller, a sufficient condition is presented to ensure that the resulting closed-loop system is stochastically stable and that a prescribed H8 performance index is satisfied. Finally, an application of a DC motor device is addressed to demonstrate the effectiveness of developed techniques. © 2014 The Franklin Institute. |
| first_indexed | 2025-11-14T09:50:27Z |
| format | Journal Article |
| id | curtin-20.500.11937-52097 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:27Z |
| publishDate | 2014 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-520972017-09-13T15:38:22Z Robust control for nonhomogeneous Markov jump processes: An application to DC motor device Yin, YanYan Shi, P. Liu, F. Lim, C. This paper studies the problem of robust H8 controller design for a class of uncertain Markov jump systems with time-varying transition probabilities, which follows nonhomogeneous jump processes. The time varying transition probability matrix is described as a polytope set. By Lyapunov function approach, under the designed controller, a sufficient condition is presented to ensure that the resulting closed-loop system is stochastically stable and that a prescribed H8 performance index is satisfied. Finally, an application of a DC motor device is addressed to demonstrate the effectiveness of developed techniques. © 2014 The Franklin Institute. 2014 Journal Article http://hdl.handle.net/20.500.11937/52097 10.1016/j.jfranklin.2014.03.013 Elsevier restricted |
| spellingShingle | Yin, YanYan Shi, P. Liu, F. Lim, C. Robust control for nonhomogeneous Markov jump processes: An application to DC motor device |
| title | Robust control for nonhomogeneous Markov jump processes: An application to DC motor device |
| title_full | Robust control for nonhomogeneous Markov jump processes: An application to DC motor device |
| title_fullStr | Robust control for nonhomogeneous Markov jump processes: An application to DC motor device |
| title_full_unstemmed | Robust control for nonhomogeneous Markov jump processes: An application to DC motor device |
| title_short | Robust control for nonhomogeneous Markov jump processes: An application to DC motor device |
| title_sort | robust control for nonhomogeneous markov jump processes: an application to dc motor device |
| url | http://hdl.handle.net/20.500.11937/52097 |