Robust Model Predictive Control based on Gaussian Processes: Application to drinking water networks

Wang, Ye; Ocampo‐Martínez, Carlos; Puig, Vicenç

doi:10.1109/ecc.2015.7331042

Cited by 18 publications

(14 citation statements)

References 9 publications

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“…In both cases a better economical costs reduction is obtained with the MPC controllers. However, the MPC controllers dispose of full information in a centralized manner, and they also dispose of information of disturbances within the prediction horizon through a forecasting model (see [26] and references therein). In contrast, the distributed population and mass dynamics control approaches only possess of measured local information.…”

Section: Resultsmentioning

confidence: 99%

Constrained distributed optimization: A population dynamics approach

2016

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Large-scale network systems involve a large number of states, which makes the design of real-time controllers a challenging task. A distributed controller design allows to reduce computational requirements since tasks are divided into different systems, allowing real-time processing. This paper proposes a novel methodology for solving constrained optimization problems in a distributed way inspired by population dynamics. This methodology consists of an extension of a population dynamics equation and the introduction of a mass dynamics equation. The proposed methodology divides the problem into smaller sub-problems, whose feasible regions vary over time achieving an agreement to solve the global problem. The methodology also guarantees attraction to the feasible region and allows to have few changes in the decision-making design when a network suffers the addition/removal of nodes/edges. Then, distributed controllers are designed with the proposed methodology and applied to the large-scale Barcelona Drinking Water Network (BDWN). Some simulations are presented and discussed in order to illustrate the control performance.

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Section: Resultsmentioning

confidence: 99%

Constrained distributed optimization: A population dynamics approach

2016

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“…For the operational management of Drinking Water Networks (DWNs), MPC has been discussed and adopted as a standard approach since it is able to maintain multi-objective operational goals and find optimal setpoints for the actuators (see [2], [3], [4], [5], [6] and [7]). In these references, the flow-based model that involves linear differential-algebraic equations has been considered as the control-oriented model and the EMPC strategy for DWNs has been applied by solving a finite-horizon optimization problem.…”

Section: Introduction Nowadays Economic Model Predictive Control mentioning

confidence: 99%

Economic MPC with periodic terminal constraints of nonlinear differential-algebraic-equation systems: Application to drinking water networks

Wang

Puig

Cembraño

2016

2016 European Control Conference (ECC)

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Abstract-In this paper, an Economic Model Predictive Control (EMPC) strategy with periodic terminal constraints is addressed for nonlinear differential-algebraic-equation systems with an application to Drinking Water Networks (DWNs). DWNs have some periodic behaviours because of the daily seasonality of water demands and electrical energy price. The periodic terminal constraint and economic terminal cost are implemented in the EMPC controller design for the purpose of achieving convergence. The feasibility of the proposed EMPC strategy when disturbances are considered is guaranteed by means of soft constraints implemented by using slack variables. Finally, the comparison results in a case study of the D-Town water network is provided by applying the EMPC strategy with or without periodic terminal constraints.

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“…subject to (1), (6) and the terminal equality constraint (29). The simulation is carried out in a PC of Intel Core i7-5500U CPU and 12GB RAM with MATLAB R2015a.…”

Section: Case Study: Richmond Water Networkmentioning

confidence: 99%

“…In order to compare the control performances of two MPC strategies, the following KPIs are used [6]:…”

Section: A Key Performance Indicatorsmentioning

confidence: 99%

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Periodic economic model predictive control with nonlinear-constraint relaxation for water distribution networks

Wang

Álamo

Puig

et al. 2016

2016 IEEE Conference on Control Applications (CCA)

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Abstract-In this paper, a periodic economic model predictive control (EMPC) strategy with nonlinear algebraic constraint relaxations for water distribution networks (WDNs) is presented. A WDN is usually modeled by a series of differentialalgebraic equations. When the hydraulic pressure/head and flow relations in the interconnected pipes are considered, the nonlinear algebraic equations will appear in the control-oriented model of WDNs. Specifically, two types of nonlinear algebraic equations are studied in terms of unidirectional and bidirectional flows in pipes. These nonlinear algebraic constraints are iteratively relaxed by a series of linear constraints. Therefore, the proposed EMPC strategy can be implemented by solving an optimization problem using the linear programming technique. Finally, the EMPC strategy with nonlinear algebraic constraint relaxations is verified in the Richmond water network. The comparison results of applying nonlinear EMPC strategy are also provided. The proposed nonlinear-constraint relaxation technique turns out to be much faster than the one obtained by a standard nonlinear optimization solver.

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Robust Model Predictive Control based on Gaussian Processes: Application to drinking water networks

Cited by 18 publications

References 9 publications

Constrained distributed optimization: A population dynamics approach

Constrained distributed optimization: A population dynamics approach

Economic MPC with periodic terminal constraints of nonlinear differential-algebraic-equation systems: Application to drinking water networks

Periodic economic model predictive control with nonlinear-constraint relaxation for water distribution networks

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