Charitopoulos, V;
Dua, V;
(2016)
Explicit Model Predictive Control of Hybrid Systems using Multi-parametric Mixed Integer Polynomial Programming.
AIChE Journal
, 62
(9)
pp. 3441-3460.
10.1002/aic.15396.
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Abstract
Hybrid systems are dynamical systems characterized by the simultaneous presence of discrete and continuous variables. Model-based control of such systems is computationally demanding. To this effect, explicit controllers which provide control inputs as a set of functions of the state variables have been derived, using multiparametric programming mainly for the linear systems. Hybrid polynomial systems are considered resulting in a Mixed Integer Polynomial Programming problem. Treating the initial state of the system as a set of bounded parameters, the problem is reformulated as a multiparametric Mixed Integer Polynomial optimization (mp-MIPOPT) problem. A novel algorithm for mp-MIPOPT problems is proposed and the exact explicit control law for polynomial hybrid systems is computed. The key idea is the computation of the analytical solution of the optimality conditions while the binary variables are treated as relaxed parameters. Finally, using symbolic calculations exact nonconvex critical regions are computed
| Type: | Article |
|---|---|
| Title: | Explicit Model Predictive Control of Hybrid Systems using Multi-parametric Mixed Integer Polynomial Programming |
| Event: | 17th British-French-German Conference on Optimization |
| Location: | London, UK |
| Dates: | 2015 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1002/aic.15396 |
| Publisher version: | http://dx.doi.org/10.1002/aic.15396 |
| Language: | English |
| Additional information: | (C)2016 The Authors This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. |
| Keywords: | hybrid systems, multiparametric programming, mixed integer polynomial programming, explicit model predictive control |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1517960 |
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