A dynamic programming based approach for explicit model predictive control of hybrid systems
This work presents an algorithm for explicit model predictive control of hybrid systems based on recent developments in constrained dynamic programming and multi-parametric programming. By using the proposed approach, suitable for problems with linear cost function, the original model predictive con...
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| Published in: | Computers & chemical engineering Vol. 72; pp. 126 - 144 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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02.01.2015
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| ISSN: | 0098-1354, 1873-4375 |
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| Abstract | This work presents an algorithm for explicit model predictive control of hybrid systems based on recent developments in constrained dynamic programming and multi-parametric programming. By using the proposed approach, suitable for problems with linear cost function, the original model predictive control formulation is disassembled into a set of smaller problems, which can be efficiently solved using multi-parametric mixed-integer programming algorithms. It is also shown how the methodology is applied in the context of explicit robust model predictive control of hybrid systems, where model uncertainty is taken into account. The proposed developments are demonstrated through a numerical example where the methodology is applied to the optimal control of a piece-wise affine system with linear cost function. |
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| AbstractList | This work presents an algorithm for explicit model predictive control of hybrid systems based on recent developments in constrained dynamic programming and multi-parametric programming. By using the proposed approach, suitable for problems with linear cost function, the original model predictive control formulation is disassembled into a set of smaller problems, which can be efficiently solved using multi-parametric mixed-integer programming algorithms. It is also shown how the methodology is applied in the context of explicit robust model predictive control of hybrid systems, where model uncertainty is taken into account. The proposed developments are demonstrated through a numerical example where the methodology is applied to the optimal control of a piece-wise affine system with linear cost function. |
| Author | Pistikopoulos, Efstratios N. Rivotti, Pedro |
| Author_xml | – sequence: 1 givenname: Pedro surname: Rivotti fullname: Rivotti, Pedro email: p.rivotti@imperial.ac.uk – sequence: 2 givenname: Efstratios N. surname: Pistikopoulos fullname: Pistikopoulos, Efstratios N. email: e.pistikopoulos@imperial.ac.uk |
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| Cites_doi | 10.1109/9.654885 10.1137/0106002 10.1016/0098-1354(91)87007-V 10.1109/TAC.2002.805688 10.1007/PL00011380 10.1016/j.automatica.2005.04.017 10.1016/j.automatica.2011.05.001 10.1016/0098-1354(92)85003-Q 10.1002/aic.11965 10.1109/TAC.1962.1105469 10.1016/S0098-1354(98)00056-8 10.1016/S0098-1354(98)00301-9 10.1016/S0098-1354(01)00797-9 10.1109/9.664157 10.1016/0305-0548(90)90062-C 10.1016/j.compchemeng.2014.03.021 10.1016/S0005-1098(01)00174-1 10.1021/ie960451l 10.1016/S0098-1354(01)00739-6 10.1016/j.automatica.2012.11.035 10.1109/TAC.2006.886486 10.1109/TAC.2000.880987 10.1016/S0005-1098(98)00178-2 10.1002/aic.11351 10.1023/A:1019241000636 10.1007/s11590-007-0056-3 10.1109/TAC.1981.1102596 10.1109/TAC.2004.828315 |
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| Keywords | Model predictive control Hybrid systems Multi-parametric programming Dynamic programming Robust model predictive control |
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| SubjectTerms | Algorithms Cost function Dynamic programming Hybrid systems Mathematical models Methodology Model predictive control Multi-parametric programming Predictive control Programming Robust model predictive control |
| Title | A dynamic programming based approach for explicit model predictive control of hybrid systems |
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