Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates
In this paper, an observer-based finite-time continuous gain-scheduled control is designed for a class of stochastic bioreactor systems with partially known jump rates. By using gradient linearization approach, the nonlinear stochastic systems are described by a series of linear jump models at some...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Birkhauser
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/52422 |
| _version_ | 1848758922730536960 |
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| author | Yin, YanYan Liu, F. Shi, P. |
| author_facet | Yin, YanYan Liu, F. Shi, P. |
| author_sort | Yin, YanYan |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, an observer-based finite-time continuous gain-scheduled control is designed for a class of stochastic bioreactor systems with partially known jump rates. By using gradient linearization approach, the nonlinear stochastic systems are described by a series of linear jump models at some selected working points, then based on stochastic Lyapunov-Krasovskii functional approach, a new robust stochastic finite-time stabilizable criterion is derived to ensure robust finite-time stabilization of the each jump linear system by means of linear matrix inequalities. This method is then extended to provide observer-based finite-time state feedback H8 controllers for such linear jump systems. Lastly, continuous gain-scheduled approach is employed to design observer-based continuous H8 controllers for the whole bioreactor jump systems. Simulation examples show the effectiveness and potential of the developed techniques. © 2010 Springer Science+Business Media, LLC. |
| first_indexed | 2025-11-14T09:51:41Z |
| format | Journal Article |
| id | curtin-20.500.11937-52422 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:51:41Z |
| publishDate | 2011 |
| publisher | Birkhauser |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-524222017-09-13T15:38:43Z Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates Yin, YanYan Liu, F. Shi, P. In this paper, an observer-based finite-time continuous gain-scheduled control is designed for a class of stochastic bioreactor systems with partially known jump rates. By using gradient linearization approach, the nonlinear stochastic systems are described by a series of linear jump models at some selected working points, then based on stochastic Lyapunov-Krasovskii functional approach, a new robust stochastic finite-time stabilizable criterion is derived to ensure robust finite-time stabilization of the each jump linear system by means of linear matrix inequalities. This method is then extended to provide observer-based finite-time state feedback H8 controllers for such linear jump systems. Lastly, continuous gain-scheduled approach is employed to design observer-based continuous H8 controllers for the whole bioreactor jump systems. Simulation examples show the effectiveness and potential of the developed techniques. © 2010 Springer Science+Business Media, LLC. 2011 Journal Article http://hdl.handle.net/20.500.11937/52422 10.1007/s00034-010-9236-y Birkhauser restricted |
| spellingShingle | Yin, YanYan Liu, F. Shi, P. Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates |
| title | Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates |
| title_full | Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates |
| title_fullStr | Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates |
| title_full_unstemmed | Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates |
| title_short | Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates |
| title_sort | finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates |
| url | http://hdl.handle.net/20.500.11937/52422 |