Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process
In this paper, a differential-inclusion-based MPC scheme is developed for the controller design for a discrete time nonlinear Markov jump system with nonhomogeneous transition probability. By adopting a differential-inclusion-based convex model predictive control mechanism, the nonlinear Markov jump...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/33543 |
| _version_ | 1848753975898144768 |
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| author | Liu, Y. Yin, Y. Liu, F. Teo, Kok Lay |
| author_facet | Liu, Y. Yin, Y. Liu, F. Teo, Kok Lay |
| author_sort | Liu, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, a differential-inclusion-based MPC scheme is developed for the controller design for a discrete time nonlinear Markov jump system with nonhomogeneous transition probability. By adopting a differential-inclusion-based convex model predictive control mechanism, the nonlinear Markov jump system with nonhomogeneous transition probability is enclosed by a set of linear Markov jump systems. In this way, the controller design for the nonlinear Markov jump system can be solved via solving a set of linear Markov jump systems. Two numerical examples with different weighting parameters R are presented to illustrate the applicability of the results obtained. |
| first_indexed | 2025-11-14T08:33:04Z |
| format | Journal Article |
| id | curtin-20.500.11937-33543 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:33:04Z |
| publishDate | 2015 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-335432017-09-13T15:31:15Z Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process Liu, Y. Yin, Y. Liu, F. Teo, Kok Lay Nonhomogeneous switching Differential-inclusion-based Discrete time Constrained MPC Nonlinear Markov jump systems In this paper, a differential-inclusion-based MPC scheme is developed for the controller design for a discrete time nonlinear Markov jump system with nonhomogeneous transition probability. By adopting a differential-inclusion-based convex model predictive control mechanism, the nonlinear Markov jump system with nonhomogeneous transition probability is enclosed by a set of linear Markov jump systems. In this way, the controller design for the nonlinear Markov jump system can be solved via solving a set of linear Markov jump systems. Two numerical examples with different weighting parameters R are presented to illustrate the applicability of the results obtained. 2015 Journal Article http://hdl.handle.net/20.500.11937/33543 10.1016/j.nahs.2015.01.001 Elsevier restricted |
| spellingShingle | Nonhomogeneous switching Differential-inclusion-based Discrete time Constrained MPC Nonlinear Markov jump systems Liu, Y. Yin, Y. Liu, F. Teo, Kok Lay Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process |
| title | Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process |
| title_full | Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process |
| title_fullStr | Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process |
| title_full_unstemmed | Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process |
| title_short | Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process |
| title_sort | constrained mpc design of nonlinear markov jump system with nonhomogeneous process |
| topic | Nonhomogeneous switching Differential-inclusion-based Discrete time Constrained MPC Nonlinear Markov jump systems |
| url | http://hdl.handle.net/20.500.11937/33543 |