Single-layer economic model predictive control for periodic operation

Limón, Daniel; Pereira, M.; Peña, David Muñoz de la; Álamo, T.; Grosso, Juan Manuel

doi:10.1016/j.jprocont.2014.03.013

Cited by 77 publications

(91 citation statements)

References 22 publications

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“…In order to overcome the possible loss of feasibility due to changing operating patterns caused by the parameters of the cost function or by the demands, two approches following the ideas in [9] and [11] are here proposed to be solved in a one-layer architecture. These schemes integrate in different ways the optimal trajectory problem (6) with the standard EMPC in (9).…”

Section: Empc For Dwns With Changing Operating Patternsmentioning

confidence: 99%

“…It has been shown in the aforementioned references that closed-loop stability and/or average asymptotic performance can be guaranteed under some form of dissipativity, duality or convexity assumptions. Nevertheless, as shown in [11], the feasibility of the overall problem might be lost if the economic criteria changes (either under the mentioned one-layer or two-layer schemes), therefore, modified single-layer based controllers that inherit the feasibility guarantee of tracking MPC and the optimality of EMPC have been proposed in this latter reference.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, assuming the water demand and the energy price as periodically time-varying signals, this paper uses the results in [9], [11], [15], [20], and adds periodic terminal constraints to the MPC controller developed in [14] to equip it with guarantees of recursive feasibility and convergence. Even when this paper uses a small-scale case study, the proof of concept may be potentially extended to large-scale DWNs.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Economic MPC for the management of drinking water networks

Grosso

Ocampo‐Martínez

Puig

et al. 2014

2014 European Control Conference (ECC)

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Abstract-This paper addresses the management of drinking water networks (DWNs) regarding a multi-objective cost function by means of economically-oriented model predictive control (EMPC) strategies. Specifically, assuming the water demand and the energy price as periodically time-varying signals, this paper shows that the EMPC framework is flexible to enhance the control of DWNs without relying on hierarchical control schemes that require the use of real-time optimisers (RTO) or steady-state target optimisers (SSTO) in an upper layer. Four different MPC strategies are discussed in this paper: a hierarchical two-layer approach, a standard EMPC where the multi-objective cost function is optimised directly, and two different modifications of the latter, which are meant to overcome possible feasibility losses in the presence of changing operating patterns. The discussed schemes are tested and compared by means of a case study taken from a part of the Barcelona DWN.

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Section: Empc For Dwns With Changing Operating Patternsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Economic MPC for the management of drinking water networks

Grosso

Ocampo‐Martínez

Puig

et al. 2014

2014 European Control Conference (ECC)

Self Cite

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“…The proposed controller gives just an enhancement of robustness, without guaranteeing robust feasibility and stability. In particular, the authors have addressed the case of economic recursive feasibility for periodic operation in different works by means of periodic terminal equality or inequality constraints; see preliminary results of Grosso (2015) and Limon et al (2014). Such references do not include explicitly the reliability component, but it can be incorporated in the recursively feasible schemes by augmenting the state vector with the degradation state z.…”

Section: Reliability-based Economic Mpc Problemmentioning

confidence: 99%

Reliability–based economic model predictive control for generalised flow–based networks including actuators’ health–aware capabilities

Grosso

Ocampo‐Martínez

Puig

2016

International Journal of Applied Mathematics and Computer Science

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This paper proposes a reliability-based economic model predictive control (MPC) strategy for the management of generalised flow-based networks, integrating some ideas on network service reliability, dynamic safety stock planning, and degradation of equipment health. The proposed strategy is based on a single-layer economic optimisation problem with dynamic constraints, which includes two enhancements with respect to existing approaches. The first enhancement considers chance-constraint programming to compute an optimal inventory replenishment policy based on a desired risk acceptability level, leading to dynamical allocation of safety stocks in flow-based networks to satisfy non-stationary flow demands. The second enhancement computes a smart distribution of the control effort and maximises actuators' availability by estimating their degradation and reliability. The proposed approach is illustrated with an application of water transport networks using the Barcelona network as the case study considered.

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“…In this paper, we repeat the study in Nassourou et al (2016) by considering simultaneously the uncertainty of load demands and energy prices. Several studies (OcampoMartinez et al 2009;Grosso et al, 2012a;Grosso et al, 2014;Limon et al, 2014) have dealt with the issue of tackling uncertainties separately using stochastic approaches. In this work, we use a deterministic approach namely robust optimization to model uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Robust Optimization based Energy Dispatch in Smart Grids Considering Simultaneously Multiple Uncertainties: Load Demands and Energy Prices

2017

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Solving the problem of energy dispatch in a heterogeneous complex system is not a trivial task. The problem becomes even more complex considering uncertainties in demands and energy prices. This paper discusses the development of several Economic Model Predictive Control (EMPC) based strategies for solving an energy dispatch problem in a smart micro-grid. The smart grid components are described using control-oriented model approach. Considering uncertainty of load demands and energy prices simultaneously, and using an economic objective function, leads to a non-linear non-convex problem. The technique of using an affine dependent controller is used to convexify the problem. The goal of this research is the development of a controller based on EMPC strategies that tackles both endogenous and exogenous uncertainties, in order to minimize economic costs and guarantee service reliability of the system. The developed strategies have been applied to a hybrid system comprising some photovoltaic (PV) panels, a wind generator, a hydroelectric generator, a diesel generator, and some storage devices interconnected via a DC Bus. Additionally, a comparison between the standard EMPC, and its combination with MPC tracking in single-layer and two-layer approaches was also carried out based on the daily cost of energy production.

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Single-layer economic model predictive control for periodic operation

Cited by 77 publications

References 22 publications

Economic MPC for the management of drinking water networks

Economic MPC for the management of drinking water networks

Reliability–based economic model predictive control for generalised flow–based networks including actuators’ health–aware capabilities

Robust Optimization based Energy Dispatch in Smart Grids Considering Simultaneously Multiple Uncertainties: Load Demands and Energy Prices

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