Observer-based H8 control on nonhomogeneous Markov jump systems with nonlinear input
This paper considers the problem of observer-based H8 controller design for a class of discrete-time nonhomogeneous Markov jump systems with nonlinear input. Actuator saturation is considered to be a nonlinear input of such system and the time-varying transition probability matrix in the system is d...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
John Wiley and Sons Ltd
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/3058 |
| _version_ | 1848744126316544000 |
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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 considers the problem of observer-based H8 controller design for a class of discrete-time nonhomogeneous Markov jump systems with nonlinear input. Actuator saturation is considered to be a nonlinear input of such system and the time-varying transition probability matrix in the system is described as a polytope set. Furthermore, a mode-dependent and parameter-dependent Lyapunov function is investigated, and a sufficient condition is derived to design observer-based controllers such that the resulting error dynamical system is stochastically stable and a prescribed H8 performance is achieved. Finally, estimation of attraction domain of such nonhomogeneous Markov jump systems is also made. A simulation example shows the effectiveness of developed techniques. |
| first_indexed | 2025-11-14T05:56:30Z |
| format | Journal Article |
| id | curtin-20.500.11937-3058 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T05:56:30Z |
| publishDate | 2014 |
| publisher | John Wiley and Sons Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-30582018-03-29T09:05:21Z Observer-based H8 control on nonhomogeneous Markov jump systems with nonlinear input Yin, Y. Shi, P. Liu, F. Teo, Kok Lay This paper considers the problem of observer-based H8 controller design for a class of discrete-time nonhomogeneous Markov jump systems with nonlinear input. Actuator saturation is considered to be a nonlinear input of such system and the time-varying transition probability matrix in the system is described as a polytope set. Furthermore, a mode-dependent and parameter-dependent Lyapunov function is investigated, and a sufficient condition is derived to design observer-based controllers such that the resulting error dynamical system is stochastically stable and a prescribed H8 performance is achieved. Finally, estimation of attraction domain of such nonhomogeneous Markov jump systems is also made. A simulation example shows the effectiveness of developed techniques. 2014 Journal Article http://hdl.handle.net/20.500.11937/3058 10.1002/rnc.2974 John Wiley and Sons Ltd restricted |
| spellingShingle | Yin, Y. Shi, P. Liu, F. Teo, Kok Lay Observer-based H8 control on nonhomogeneous Markov jump systems with nonlinear input |
| title | Observer-based H8 control on nonhomogeneous Markov jump systems with nonlinear input |
| title_full | Observer-based H8 control on nonhomogeneous Markov jump systems with nonlinear input |
| title_fullStr | Observer-based H8 control on nonhomogeneous Markov jump systems with nonlinear input |
| title_full_unstemmed | Observer-based H8 control on nonhomogeneous Markov jump systems with nonlinear input |
| title_short | Observer-based H8 control on nonhomogeneous Markov jump systems with nonlinear input |
| title_sort | observer-based h8 control on nonhomogeneous markov jump systems with nonlinear input |
| url | http://hdl.handle.net/20.500.11937/3058 |