Reference
H. van Ekeren,
R. R. Negenborn,
P. J. van Overloop, and B. De Schutter,
"Time-instant optimization for hybrid model predictive control of the
Rhine-Meuse Delta,"
Journal of Hydroinformatics, vol.
15, no. 2, pp. 271-292, 2013.
Abstract
In order to provide safety against high sea water levels, in many low-lying
countries on the one hand dunes are maintained at a certain safety level and
dikes have been built, while on the other hand large control structures have
been installed that can be adjusted dynamically also after they have been
constructed. Currently, these control structures are often operated purely
locally, without coordination of actions being taken at different structures.
Automatically coordinating these actions is hard, since open water systems are
complex, hybrid dynamical systems, in the sense that continuous dynamics (e.g.,
the evolution of the water levels) appear mixed with discrete events (e.g., the
opening or closing of barriers). In low-lands, this complexity is increased
further due to bi-directional water flows resulting from backwater effects and
interconnectivity of flows in different parts of river deltas. In this paper,
we propose a model predictive control (MPC) approach that is aimed at
automatically coordinating the actions of control structures. Hereby, the
hybrid dynamical nature of the water system is explicitly taken into account.
In order to relief the computational complexity involved in solving the MPC
problem, we propose TIO-MPC, where TIO stands for time-instant optimization.
Using this approach the original MPC optimization problem that uses both
continuous and integer variables is transformed into a problem involving only
continuous variables. Simulation studies of current and future situations are
used to illustrate the behavior of the proposed scheme.
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BibTeX
@article{vanNeg:13-010,
author = {van Ekeren, Huub and Negenborn, Rudi R. and van Overloop, Peter
Jules and De Schutter, Bart},
title = {Time-Instant Optimization for Hybrid Model Predictive Control of
the {Rhine-Meuse Delta}},
journal = {Journal of Hydroinformatics},
volume = {15},
number = {2},
pages = {271--292},
year = {2013}
}