Stochastic model predictive control based on Gaussian processes applied to drinking water networks

This study focuses on developing a stochastic model predictive control (MPC) strategy based on Gaussian processes (GPs) for propagating system disturbances in a receding horizon way. Using a probabilistic system representation, the state trajectories considering the influence of disturbances can be...

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Bibliographic Details
Authors: Wang, Ye|||0000-0003-1395-1676; Ocampo-Martínez, Carlos|||0000-0001-9251-6044; Puig Cayuela, Vicenç|||0000-0002-6364-6429
Format: Article
Publication date:2016
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/89276
Online Access:https://hdl.handle.net/2117/89276
https://dx.doi.org/10.1049/iet-cta.2015.0657
Access Level:Open access
Keyword:automation
control theory
optimisation
stochastic model predictive control
Gaussian processes
disturbance forecasting
drinking water networks
Classificació INSPEC::Control theory
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
Description
Summary:This study focuses on developing a stochastic model predictive control (MPC) strategy based on Gaussian processes (GPs) for propagating system disturbances in a receding horizon way. Using a probabilistic system representation, the state trajectories considering the influence of disturbances can be obtained through the uncertainty propagation by using GPs. This fact allows obtaining the confidence intervals for state evolutions over the MPC prediction horizon that are included into the MPC objective function and constraints. The feasibility of the proposed MPC strategy considering the incorporated results of disturbance forecasting is also discussed. Simulation results obtained from the application of the proposed approach to the Barcelona drinking water network taking real demand data into account are presented. The comparison with the well-known certainty-equivalent MPC shows the effectiveness of the proposed stochastic MPC approach.