Reference
B. Dekens,
A. D. Sadowska,
P. J. van Overloop, D. Schwanenberg, and B. De
Schutter, "Gradient-based hybrid model predictive control using time instant
optimization for Dutch regional water systems,"
Proceedings of
the 2014 European Control Conference, Strasbourg, France, pp. 1343-1348,
June 2014.
Abstract
We present a novel hybrid nonlinear Model Predictive Control (MPC) algorithm
for real-time control of hydraulic structures in water systems. These systems
can be regarded as hybrid systems because they involve both continuous and
discrete elements. The algorithm uses Time Instant Optimization for the control
of discrete variables. The presented method introduces a procedure to obtain
continuous time instants, allowing the derivation of a gradient of the
objective function. Reverse-mode algorithmic differentiation is applied to
obtain the analytical gradient of the objective function. The gradient allows
the use of efficient gradient-based optimizers, making the approach suitable
for real-time control applications. Furthermore, hybrid schemes including the
optimization of time instants and standard MPC can be easily integrated. We
illustrate an application of the algorithm to the control of five hydraulic
structures in the Fivelingo water system, a water system consisting of discrete
and continuous variables that is located in the North-East of Netherlands.
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BibTeX
@inproceedings{DekSad:14-032,
author = {Dekens, Bart and Sadowska, Anna D. and van Overloop, Peter
Jules and Schwanenberg, Dirk and De Schutter, Bart},
title = {Gradient-Based Hybrid Model Predictive Control Using Time
Instant Optimization for {Dutch} Regional Water Systems},
booktitle = {Proceedings of the 2014 European Control Conference},
address = {Strasbourg, France},
pages = {1343--1348},
month = jun,
year = {2014}
}