ResNet and PolyNet based identification and (MPC) control of dynamical systems: a promising way
Résumé
This paper deals with model predictive control synthesis which take benefits from artificial
neural networks to model (non-linear) dynamical system. More precisely, thanks to a systematic and
rigorous methodology, it is shown that residual networks (ResNet) and PolyInception networks (PolyNet)
neural network architectures, developed initially for image recognition, are very good candidate for i)
identification of dynamical systems, ii) being used as embedded model in a model predictive control laws.
Concretely, the widely used non-linear dynamical system quadruple tank process is used as a benchmark.
The neural network architectures studied are i) feedforward networks as a reference point, and the two other
linked to Euler integration method ii) residual networks and iii) PolyInception networks. Networks training
is performed by mixing classical back-propagation algorithm and hyperparameters optimisation through
heuristics. The identification results provided show that neural networks of types ii) and iii) perform better
than the classical one i), with a better generalisation capability. Finally, model predictive controllers are
synthesized based on the various networks trained. The simulation results obtained for controlling water
levels of a 4 tanks system benchmark give interesting insights. They show that residual networks based
model predictive control is better suited than feedforward networks and PolyInception networks based ones,
both taking into account computation time and set point errors.
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