Model predictive control of drinking water networks: A hierarchical and decentralized approach

In this paper, a decentralized model predictive control (DMPC) strategy for drinking water networks (DWN) is proposed. The DWN is partitioned in a set of subnetworks using a partitioning algorithm that makes use of the topology of the network, the information about the actuator usage and heuristics. A suboptimal DMPC strategy was derived that allows the hierarchical solution of the set of MPC controllers used to control each partition. A comparative study between the centralized MPC (CMPC) and DMPC approaches is developed on the case study, which consists in an aggregate version of the Barcelona DWN. Results have shown the effectiveness of the proposed DMPC approach in terms of the computation time while an admissible level of suboptimality is obtained in all the considered scenarios.

[1]  M. A. Brdys,et al.  Operational Control of Water Systems: Structures, Algorithms, and Applications , 1994 .

[2]  Riccardo Scattolini,et al.  Architectures for distributed and hierarchical Model Predictive Control - A review , 2009 .

[3]  Stephen J. Wright,et al.  Distributed MPC Strategies With Application to Power System Automatic Generation Control , 2008, IEEE Transactions on Control Systems Technology.

[4]  Carlos Ocampo-Martinez,et al.  Modelling and decentralized model predictive control of drinking water networks: the Barcelona case study , 2009 .

[5]  Alberto Bemporad,et al.  Decentralized model predictive control of drinking water networks using an automatic subsystem decomposition approach , 2010 .

[6]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[7]  Bart De Schutter,et al.  Multi-agent model predictive control for transportation networks: Serial versus parallel schemes , 2008, Eng. Appl. Artif. Intell..

[8]  A. Bemporad,et al.  Decentralized model predictive control of constrained linear systems , 2007, 2007 European Control Conference (ECC).

[9]  Elaine C. Sadowski,et al.  Optimization of Water Supply System Operation , 1996 .

[10]  Vicenç Puig,et al.  Development of a simulation environment for water drinking networks: application to the Barcelona case study , 2009 .

[11]  Frank T.-C. Tsai,et al.  Optimization of Water Distribution and Water Quality by Hybrid Genetic Algorithm , 2005 .

[12]  Gabriela Cembrano,et al.  Improving water management efficiency by using optimization-based control strategies: the Barcelona case study , 2009 .

[13]  James B. Rawlings,et al.  Coordinating multiple optimization-based controllers: New opportunities and challenges , 2008 .

[14]  William B. Dunbar,et al.  Distributed Receding Horizon Control of Dynamically Coupled Nonlinear Systems , 2007, IEEE Transactions on Automatic Control.