Robust Economic Model Predictive Control of Water Transport Networks

In this paper, a robust economic model predictive controller is proposed for a water transport network. Considering that forecast of demand is required in the drinking water network (DWN) for future predictions of states in the MPC formulation, robustification of the proposed controller is undertaken considering demand uncertainties as unknown but bounded in a zonotopic set. Based on this uncertainty description, a robust MPC controller is designed that ensures that robust constraint satisfaction, stability and performance under uncertainties is guaranteed. The proposed approach is satisfactorily tested On a part of the Barcelona water transport network.

[1]  David Angeli,et al.  On Average Performance and Stability of Economic Model Predictive Control , 2012, IEEE Transactions on Automatic Control.

[2]  Didier Dumur,et al.  Zonotopes: From Guaranteed State-estimation to Control , 2013 .

[3]  Vicenç Puig,et al.  Stochastic model predictive control approaches applied to drinking water networks , 2017 .

[4]  Alberto Bemporad,et al.  Robust model predictive control: A survey , 1998, Robustness in Identification and Control.

[5]  M Casas,et al.  PLIO: a generic tool for real-time operational predictive optimal control of water networks. , 2011, Water science and technology : a journal of the International Association on Water Pollution Research.

[6]  Vicenç Puig,et al.  Economic Model Predictive Control with Nonlinear Constraint Relaxation for the Operational Management of Water Distribution Networks , 2018 .

[7]  Daniel Limón,et al.  Robust economic model predictive control of a community micro-grid , 2016, 2016 IEEE 55th Conference on Decision and Control (CDC).

[8]  Helen Durand,et al.  Economic model predictive control for nonlinear processes incorporating actuator magnitude and rate of change constraints , 2016, 2016 American Control Conference (ACC).

[9]  Vicenç Puig,et al.  Fault Diagnosis and Fault Tolerant Control in Critical Infrastructure Systems , 2015, Intelligent Monitoring, Control, and Security of Critical Infrastructure Systems.

[10]  Vicenç Puig,et al.  Non-linear economic model predictive control of water distribution networks , 2017 .

[11]  D. Limon,et al.  Economic MPC for the management of drinking water networks , 2014, 2014 European Control Conference (ECC).

[12]  Carlos Ocampo-Martinez,et al.  Application of robust model predictive control to a renewable hydrogen-based microgrid , 2016, 2016 European Control Conference (ECC).