A simplified predictive control of constrained Markov jump system with mixed uncertainties
A simplified model predictive control algorithm is designed for discrete-time Markov jump systems with mixed uncertainties. The mixed uncertainties include model polytope uncertainty and partly unknown transition probability. The simplified algorithm involves finite steps. Firstly, in the previous s...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Hindawi Publishing Corporation
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/52108 |
| _version_ | 1848758848130646016 |
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| author | Yin, YanYan Liu, Y. Karimi, H. |
| author_facet | Yin, YanYan Liu, Y. Karimi, H. |
| author_sort | Yin, YanYan |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A simplified model predictive control algorithm is designed for discrete-time Markov jump systems with mixed uncertainties. The mixed uncertainties include model polytope uncertainty and partly unknown transition probability. The simplified algorithm involves finite steps. Firstly, in the previous steps, a simplified mode-dependent predictive controller is presented to drive the state to the neighbor area around the origin. Then the trajectory of states is driven as expected to the origin by the final-step mode-independent predictive controller. The computational burden is dramatically cut down and thus it costs less time but has the acceptable dynamic performance. Furthermore, the polyhedron invariant set is utilized to enlarge the initial feasible area. The numerical example is provided to illustrate the efficiency of the developed results. © 2014 Yanyan Yin et al. |
| first_indexed | 2025-11-14T09:50:30Z |
| format | Journal Article |
| id | curtin-20.500.11937-52108 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:30Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-521082017-09-13T15:39:23Z A simplified predictive control of constrained Markov jump system with mixed uncertainties Yin, YanYan Liu, Y. Karimi, H. A simplified model predictive control algorithm is designed for discrete-time Markov jump systems with mixed uncertainties. The mixed uncertainties include model polytope uncertainty and partly unknown transition probability. The simplified algorithm involves finite steps. Firstly, in the previous steps, a simplified mode-dependent predictive controller is presented to drive the state to the neighbor area around the origin. Then the trajectory of states is driven as expected to the origin by the final-step mode-independent predictive controller. The computational burden is dramatically cut down and thus it costs less time but has the acceptable dynamic performance. Furthermore, the polyhedron invariant set is utilized to enlarge the initial feasible area. The numerical example is provided to illustrate the efficiency of the developed results. © 2014 Yanyan Yin et al. 2014 Journal Article http://hdl.handle.net/20.500.11937/52108 10.1155/2014/475808 Hindawi Publishing Corporation unknown |
| spellingShingle | Yin, YanYan Liu, Y. Karimi, H. A simplified predictive control of constrained Markov jump system with mixed uncertainties |
| title | A simplified predictive control of constrained Markov jump system with mixed uncertainties |
| title_full | A simplified predictive control of constrained Markov jump system with mixed uncertainties |
| title_fullStr | A simplified predictive control of constrained Markov jump system with mixed uncertainties |
| title_full_unstemmed | A simplified predictive control of constrained Markov jump system with mixed uncertainties |
| title_short | A simplified predictive control of constrained Markov jump system with mixed uncertainties |
| title_sort | simplified predictive control of constrained markov jump system with mixed uncertainties |
| url | http://hdl.handle.net/20.500.11937/52108 |