Constrained model predictive control on convex polyhedron stochastic linear parameter varying systems
The problem of constrained model predictive control on a class of stochastic linear parameter varying systems is discussed. First, constant coefficient matrices are obtained at each vertex in the interior of system, and then, by considering semi-definite programming constraints, weight coefficients...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
ICIC International
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/52671 |
| _version_ | 1848758983293140992 |
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| author | Yin, YanYan Shi, Y. Liu, F. |
| author_facet | Yin, YanYan Shi, Y. Liu, F. |
| author_sort | Yin, YanYan |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The problem of constrained model predictive control on a class of stochastic linear parameter varying systems is discussed. First, constant coefficient matrices are obtained at each vertex in the interior of system, and then, by considering semi-definite programming constraints, weight coefficients between each vertex are calculated, and the equal coefficient matrices for the time variant system are obtained. Second, in the given receding horizon, for each mode sequence of the stochastic system, the optimal control input sequences are designed in order to make the states into a terminal invariant set. Outside of the receding horizon, stability of the system is guaranteed by searching a state feedback control law. Finally, constraints on both inputs and outputs are considered for such system and predictive controller is designed in terms of linear matrix inequality. Simulation example shows the validity of this method. © ISSN 1349-4198. |
| first_indexed | 2025-11-14T09:52:39Z |
| format | Journal Article |
| id | curtin-20.500.11937-52671 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:52:39Z |
| publishDate | 2013 |
| publisher | ICIC International |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-526712017-04-28T13:59:32Z Constrained model predictive control on convex polyhedron stochastic linear parameter varying systems Yin, YanYan Shi, Y. Liu, F. The problem of constrained model predictive control on a class of stochastic linear parameter varying systems is discussed. First, constant coefficient matrices are obtained at each vertex in the interior of system, and then, by considering semi-definite programming constraints, weight coefficients between each vertex are calculated, and the equal coefficient matrices for the time variant system are obtained. Second, in the given receding horizon, for each mode sequence of the stochastic system, the optimal control input sequences are designed in order to make the states into a terminal invariant set. Outside of the receding horizon, stability of the system is guaranteed by searching a state feedback control law. Finally, constraints on both inputs and outputs are considered for such system and predictive controller is designed in terms of linear matrix inequality. Simulation example shows the validity of this method. © ISSN 1349-4198. 2013 Journal Article http://hdl.handle.net/20.500.11937/52671 ICIC International restricted |
| spellingShingle | Yin, YanYan Shi, Y. Liu, F. Constrained model predictive control on convex polyhedron stochastic linear parameter varying systems |
| title | Constrained model predictive control on convex polyhedron stochastic linear parameter varying systems |
| title_full | Constrained model predictive control on convex polyhedron stochastic linear parameter varying systems |
| title_fullStr | Constrained model predictive control on convex polyhedron stochastic linear parameter varying systems |
| title_full_unstemmed | Constrained model predictive control on convex polyhedron stochastic linear parameter varying systems |
| title_short | Constrained model predictive control on convex polyhedron stochastic linear parameter varying systems |
| title_sort | constrained model predictive control on convex polyhedron stochastic linear parameter varying systems |
| url | http://hdl.handle.net/20.500.11937/52671 |