Economic Criterion

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Antonio Ferramosca - One of the best experts on this subject based on the ideXlab platform.

  • offset free multi model Economic model predictive control for changing Economic Criterion
    Journal of Process Control, 2017
    Co-Authors: Antonio Ferramosca, Alejandro H Gonzalez, Daniel Limon
    Abstract:

    Abstract Economic Model Predictive Controllers, consisting of an Economic Criterion as stage cost for the dynamic regulation problem, have shown to improve the Economic performance of the controlled plant. However, throughout the operation of the plant, if the Economic Criterion changes – due to variations of prices, costs, production demand, market fluctuations, reconciled data, disturbances, etc. – the optimal operation point also changes. In industrial applications, a nonlinear description of the plant may not be available, since identifying a nonlinear plant is a very difficult task. Thus, the models used for prediction are in general linear. The nonlinear behavior of the plant makes that the controller designed using a linear model (identified at certain operation point) may exhibit a poor closed-loop performance or even loss of feasibility and stability when the plant is operated at a different operation point. A way to avoid this issue is to consider a collection of linear models identified at each of the equilibrium points where the plant will be operated. This is called a multi-model description of the plant. In this work, a multi-model Economic MPC is proposed, which takes into account the uncertainties that arise from the difference between nonlinear and linear models, by means of a multi-model approach: a finite family of linear models is considered (multi-model uncertainty), each of them operating appropriately in a certain region around a given operation point. Recursive feasibility, convergence to the Economic setpoint and stability are ensured. The proposed controller is applied in two simulations for controlling an isothermal chemical reactor with consecutive-competitive reactions, and a continuous flow stirred-tank reactor with parallel reactions.

  • a robust Economic mpc for changing Economic Criterion
    International Conference on Control Applications, 2016
    Co-Authors: Agustina D Jorge, Alejandro Anderson, Alejandro H Gonzalez, Antonio Ferramosca
    Abstract:

    This note presents a robust Economic MPC controller, suitable for changing Economic Criterion. The proposal ensures feasibility under any change of the Economic Criterion - thanks to the use of artificial variables and a relaxed terminal constraint - and robustness in presence of additive bounded disturbances, by means of nominal predictions and restricted constraints. The controlled system under the proposed controller is shown to be Input-to-State Stable (ISS), in the sense that it is asymptotically steered to an invariant region around the best admissible steady state. The properties of the proposed controller are highlighted in a simulation example on an isothermal stirred-tank reactor.

  • CCA - A robust Economic MPC for changing Economic Criterion
    2016 IEEE Conference on Control Applications (CCA), 2016
    Co-Authors: Agustina D Jorge, Alejandro Anderson, Alejandro H Gonzalez, Antonio Ferramosca
    Abstract:

    This note presents a robust Economic MPC controller, suitable for changing Economic Criterion. The proposal ensures feasibility under any change of the Economic Criterion - thanks to the use of artificial variables and a relaxed terminal constraint - and robustness in presence of additive bounded disturbances, by means of nominal predictions and restricted constraints. The controlled system under the proposed controller is shown to be Input-to-State Stable (ISS), in the sense that it is asymptotically steered to an invariant region around the best admissible steady state. The properties of the proposed controller are highlighted in a simulation example on an isothermal stirred-tank reactor.

  • Economic MPC for a Changing Economic Criterion for Linear Systems
    IEEE Transactions on Automatic Control, 2014
    Co-Authors: Antonio Ferramosca, Daniel Limon, Eduardo F. Camacho
    Abstract:

    Economic Model Predictive Controllers, consisting of an Economic Criterion as stage cost for the dynamic regulation problem, have shown to improve the Economic performance of the controlled plant, as well as to ensure stability of the Economic setpoint. However, throughout the operation of the plant, Economic criteria are usually subject to frequent changes, due to variations of prices, costs, production demand, market fluctuations, reconciled data, disturbances, etc. A different Economic Criterion determines a change of the optimal operation point and this may cause a loss of feasibility and/or stability. In this paper a stabilizing Economic MPC for changing Economic Criterion for linear prediction models is presented. The proposed controller always ensures feasibility for any given Economic Criterion, thanks to the particular choice of the terminal ingredients. Asymptotic stability is also proved, providing a Lyapunov function.

  • Economic mpc for a changing Economic Criterion
    Conference on Decision and Control, 2010
    Co-Authors: Antonio Ferramosca, Daniel Limon, James B Rawlings, Eduardo F. Camacho
    Abstract:

    In the process industries it is often desirable that model predictive controllers (MPC) use a stage cost function that incorporates some types of Economic criteria. In [1] it is proved that this kind of controller provides better Economic performance than the standard setpoint-tracking MPC formulations. In [2] a Lyapunov function is provided for the Economic MPC formulation. In [3], [4] an MPC for setpoint tracking is presented that ensures feasibility for a changing setpoint, enlarging the domain of attraction of the controller. In this paper, a new MPC controller is proposed, which is a hybrid of these two previous controllers, and inherits their best properties. Three examples are presented that demonstrate the advantages of the new formulation.

L. Divakar - One of the best experts on this subject based on the ideXlab platform.

  • optimal allocation of bulk water supplies to competing use sectors based on Economic Criterion an application to the chao phraya river basin thailand
    Journal of Hydrology, 2011
    Co-Authors: L. Divakar, Mukand S. Babel, Sylvain Perret, Das A Gupta
    Abstract:

    The study develops a model for optimal bulk allocations of limited available water based on an Economic Criterion to competing use sectors such as agriculture, domestic, industry and hydropower. The model comprises a reservoir operation module (ROM) and a water allocation module (WAM). ROM determines the amount of water available for allocation, which is used as an input to WAM with an objective function to maximize the net Economic benefits of bulk allocations to different use sectors. The total net benefit functions for agriculture and hydropower sectors and the marginal net benefit from domestic and industrial sectors are established and are categorically taken as fixed in the present study. The developed model is applied to the Chao Phraya basin in Thailand. The case study results indicate that the WAM can improve net Economic returns compared to the current water allocation practices.

  • Optimal allocation of bulk water supplies to competing use sectors based on Economic Criterion – An application to the Chao Phraya River Basin, Thailand
    Journal of Hydrology, 2011
    Co-Authors: L. Divakar, Mukand S. Babel, Sylvain Perret, A. Das Gupta
    Abstract:

    The study develops a model for optimal bulk allocations of limited available water based on an Economic Criterion to competing use sectors such as agriculture, domestic, industry and hydropower. The model comprises a reservoir operation module (ROM) and a water allocation module (WAM). ROM determines the amount of water available for allocation, which is used as an input to WAM with an objective function to maximize the net Economic benefits of bulk allocations to different use sectors. The total net benefit functions for agriculture and hydropower sectors and the marginal net benefit from domestic and industrial sectors are established and are categorically taken as fixed in the present study. The developed model is applied to the Chao Phraya basin in Thailand. The case study results indicate that the WAM can improve net Economic returns compared to the current water allocation practices.

  • Optimal allocation of bulk water supplies to competing use sectors based on Economic Criterion – An application to the Chao Phraya River Basin, Thailand
    Journal of Hydrology, 2011
    Co-Authors: L. Divakar, Mukand S. Babel, S.r. Perret, A. Das Gupta
    Abstract:

    The study develops a model for optimal bulk allocations of limited available water based on an Economic Criterion to competing use sectors such as agriculture, domestic, industry and hydropower. The model comprises a reservoir operation module (ROM) and a water allocation module (WAM). ROM determines the amount of water available for allocation, which is used as an input to WAM with an objective function to maximize the net Economic benefits of bulk allocations to different use sectors. The total net benefit functions for agriculture and hydropower sectors and the marginal net benefit from domestic and industrial sectors are established and are categorically taken as fixed in the present study. The developed model is applied to the Chao Phraya basin in Thailand. The case study results indicate that the WAM can improve net Economic returns compared to the current water allocation practices. (Résumé d'auteur)

A. Das Gupta - One of the best experts on this subject based on the ideXlab platform.

  • Optimal allocation of bulk water supplies to competing use sectors based on Economic Criterion – An application to the Chao Phraya River Basin, Thailand
    Journal of Hydrology, 2011
    Co-Authors: L. Divakar, Mukand S. Babel, Sylvain Perret, A. Das Gupta
    Abstract:

    The study develops a model for optimal bulk allocations of limited available water based on an Economic Criterion to competing use sectors such as agriculture, domestic, industry and hydropower. The model comprises a reservoir operation module (ROM) and a water allocation module (WAM). ROM determines the amount of water available for allocation, which is used as an input to WAM with an objective function to maximize the net Economic benefits of bulk allocations to different use sectors. The total net benefit functions for agriculture and hydropower sectors and the marginal net benefit from domestic and industrial sectors are established and are categorically taken as fixed in the present study. The developed model is applied to the Chao Phraya basin in Thailand. The case study results indicate that the WAM can improve net Economic returns compared to the current water allocation practices.

  • Optimal allocation of bulk water supplies to competing use sectors based on Economic Criterion – An application to the Chao Phraya River Basin, Thailand
    Journal of Hydrology, 2011
    Co-Authors: L. Divakar, Mukand S. Babel, S.r. Perret, A. Das Gupta
    Abstract:

    The study develops a model for optimal bulk allocations of limited available water based on an Economic Criterion to competing use sectors such as agriculture, domestic, industry and hydropower. The model comprises a reservoir operation module (ROM) and a water allocation module (WAM). ROM determines the amount of water available for allocation, which is used as an input to WAM with an objective function to maximize the net Economic benefits of bulk allocations to different use sectors. The total net benefit functions for agriculture and hydropower sectors and the marginal net benefit from domestic and industrial sectors are established and are categorically taken as fixed in the present study. The developed model is applied to the Chao Phraya basin in Thailand. The case study results indicate that the WAM can improve net Economic returns compared to the current water allocation practices. (Résumé d'auteur)

Eduardo F. Camacho - One of the best experts on this subject based on the ideXlab platform.

  • Economic MPC for a Changing Economic Criterion for Linear Systems
    IEEE Transactions on Automatic Control, 2014
    Co-Authors: Antonio Ferramosca, Daniel Limon, Eduardo F. Camacho
    Abstract:

    Economic Model Predictive Controllers, consisting of an Economic Criterion as stage cost for the dynamic regulation problem, have shown to improve the Economic performance of the controlled plant, as well as to ensure stability of the Economic setpoint. However, throughout the operation of the plant, Economic criteria are usually subject to frequent changes, due to variations of prices, costs, production demand, market fluctuations, reconciled data, disturbances, etc. A different Economic Criterion determines a change of the optimal operation point and this may cause a loss of feasibility and/or stability. In this paper a stabilizing Economic MPC for changing Economic Criterion for linear prediction models is presented. The proposed controller always ensures feasibility for any given Economic Criterion, thanks to the particular choice of the terminal ingredients. Asymptotic stability is also proved, providing a Lyapunov function.

  • Economic mpc for a changing Economic Criterion
    Conference on Decision and Control, 2010
    Co-Authors: Antonio Ferramosca, Daniel Limon, James B Rawlings, Eduardo F. Camacho
    Abstract:

    In the process industries it is often desirable that model predictive controllers (MPC) use a stage cost function that incorporates some types of Economic criteria. In [1] it is proved that this kind of controller provides better Economic performance than the standard setpoint-tracking MPC formulations. In [2] a Lyapunov function is provided for the Economic MPC formulation. In [3], [4] an MPC for setpoint tracking is presented that ensures feasibility for a changing setpoint, enlarging the domain of attraction of the controller. In this paper, a new MPC controller is proposed, which is a hybrid of these two previous controllers, and inherits their best properties. Three examples are presented that demonstrate the advantages of the new formulation.

  • CDC - Economic MPC for a changing Economic Criterion
    49th IEEE Conference on Decision and Control (CDC), 2010
    Co-Authors: Antonio Ferramosca, Daniel Limon, James B Rawlings, Eduardo F. Camacho
    Abstract:

    In the process industries it is often desirable that model predictive controllers (MPC) use a stage cost function that incorporates some types of Economic criteria. In [1] it is proved that this kind of controller provides better Economic performance than the standard setpoint-tracking MPC formulations. In [2] a Lyapunov function is provided for the Economic MPC formulation. In [3], [4] an MPC for setpoint tracking is presented that ensures feasibility for a changing setpoint, enlarging the domain of attraction of the controller. In this paper, a new MPC controller is proposed, which is a hybrid of these two previous controllers, and inherits their best properties. Three examples are presented that demonstrate the advantages of the new formulation.

Mukand S. Babel - One of the best experts on this subject based on the ideXlab platform.

  • optimal allocation of bulk water supplies to competing use sectors based on Economic Criterion an application to the chao phraya river basin thailand
    Journal of Hydrology, 2011
    Co-Authors: L. Divakar, Mukand S. Babel, Sylvain Perret, Das A Gupta
    Abstract:

    The study develops a model for optimal bulk allocations of limited available water based on an Economic Criterion to competing use sectors such as agriculture, domestic, industry and hydropower. The model comprises a reservoir operation module (ROM) and a water allocation module (WAM). ROM determines the amount of water available for allocation, which is used as an input to WAM with an objective function to maximize the net Economic benefits of bulk allocations to different use sectors. The total net benefit functions for agriculture and hydropower sectors and the marginal net benefit from domestic and industrial sectors are established and are categorically taken as fixed in the present study. The developed model is applied to the Chao Phraya basin in Thailand. The case study results indicate that the WAM can improve net Economic returns compared to the current water allocation practices.

  • Optimal allocation of bulk water supplies to competing use sectors based on Economic Criterion – An application to the Chao Phraya River Basin, Thailand
    Journal of Hydrology, 2011
    Co-Authors: L. Divakar, Mukand S. Babel, Sylvain Perret, A. Das Gupta
    Abstract:

    The study develops a model for optimal bulk allocations of limited available water based on an Economic Criterion to competing use sectors such as agriculture, domestic, industry and hydropower. The model comprises a reservoir operation module (ROM) and a water allocation module (WAM). ROM determines the amount of water available for allocation, which is used as an input to WAM with an objective function to maximize the net Economic benefits of bulk allocations to different use sectors. The total net benefit functions for agriculture and hydropower sectors and the marginal net benefit from domestic and industrial sectors are established and are categorically taken as fixed in the present study. The developed model is applied to the Chao Phraya basin in Thailand. The case study results indicate that the WAM can improve net Economic returns compared to the current water allocation practices.

  • Optimal allocation of bulk water supplies to competing use sectors based on Economic Criterion – An application to the Chao Phraya River Basin, Thailand
    Journal of Hydrology, 2011
    Co-Authors: L. Divakar, Mukand S. Babel, S.r. Perret, A. Das Gupta
    Abstract:

    The study develops a model for optimal bulk allocations of limited available water based on an Economic Criterion to competing use sectors such as agriculture, domestic, industry and hydropower. The model comprises a reservoir operation module (ROM) and a water allocation module (WAM). ROM determines the amount of water available for allocation, which is used as an input to WAM with an objective function to maximize the net Economic benefits of bulk allocations to different use sectors. The total net benefit functions for agriculture and hydropower sectors and the marginal net benefit from domestic and industrial sectors are established and are categorically taken as fixed in the present study. The developed model is applied to the Chao Phraya basin in Thailand. The case study results indicate that the WAM can improve net Economic returns compared to the current water allocation practices. (Résumé d'auteur)