Observer-based H∞ control on nonhomogeneous discrete-time markov jump systems
This paper concerns the problem of observer-based H8 controller design for a class of discrete-time Markov jump systems with nonhomogeneous jump parameters. A nonhomogeneous jump transition probability matrix is described by a polytope set, in which values of vertices are given. By Lyapunov function...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Silverchair information/systems
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/17040 |
| _version_ | 1848749349319737344 |
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| author | Yin, Y. Shi, P. Liu, F. Teo, Kok Lay |
| author_facet | Yin, Y. Shi, P. Liu, F. Teo, Kok Lay |
| author_sort | Yin, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper concerns the problem of observer-based H8 controller design for a class of discrete-time Markov jump systems with nonhomogeneous jump parameters. A nonhomogeneous jump transition probability matrix is described by a polytope set, in which values of vertices are given. By Lyapunov function approach, under the designed observer-based controller, a sufficient condition is presented to ensure the resulting closed-loop system is stochastically stable and a prescribed H8 performance is achieved. Finally, a simulation example is given to show the effectiveness of the developed techniques. |
| first_indexed | 2025-11-14T07:19:31Z |
| format | Journal Article |
| id | curtin-20.500.11937-17040 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:19:31Z |
| publishDate | 2013 |
| publisher | Silverchair information/systems |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-170402017-09-13T13:36:44Z Observer-based H∞ control on nonhomogeneous discrete-time markov jump systems Yin, Y. Shi, P. Liu, F. Teo, Kok Lay H∞ control nonhomogeneous Markov jump parameter stochastic system observer-based This paper concerns the problem of observer-based H8 controller design for a class of discrete-time Markov jump systems with nonhomogeneous jump parameters. A nonhomogeneous jump transition probability matrix is described by a polytope set, in which values of vertices are given. By Lyapunov function approach, under the designed observer-based controller, a sufficient condition is presented to ensure the resulting closed-loop system is stochastically stable and a prescribed H8 performance is achieved. Finally, a simulation example is given to show the effectiveness of the developed techniques. 2013 Journal Article http://hdl.handle.net/20.500.11937/17040 10.1115/1.4023997 Silverchair information/systems restricted |
| spellingShingle | H∞ control nonhomogeneous Markov jump parameter stochastic system observer-based Yin, Y. Shi, P. Liu, F. Teo, Kok Lay Observer-based H∞ control on nonhomogeneous discrete-time markov jump systems |
| title | Observer-based H∞ control on nonhomogeneous discrete-time markov jump systems |
| title_full | Observer-based H∞ control on nonhomogeneous discrete-time markov jump systems |
| title_fullStr | Observer-based H∞ control on nonhomogeneous discrete-time markov jump systems |
| title_full_unstemmed | Observer-based H∞ control on nonhomogeneous discrete-time markov jump systems |
| title_short | Observer-based H∞ control on nonhomogeneous discrete-time markov jump systems |
| title_sort | observer-based h∞ control on nonhomogeneous discrete-time markov jump systems |
| topic | H∞ control nonhomogeneous Markov jump parameter stochastic system observer-based |
| url | http://hdl.handle.net/20.500.11937/17040 |