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Economic Model Predictive Control with Zone Tracking

Author

Listed:
  • Su Liu

    (Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada)

  • Jinfeng Liu

    (Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada)

Abstract

In this work, we propose a framework for economic model predictive control (EMPC) with zone tracking. A zone tracking stage cost is incorporated into the existing EMPC framework to form a multi-objective optimization problem. We provide sufficient conditions for asymptotic stability of the optimal steady state and characterize the exact penalty for the zone tracking cost which prioritizes zone tracking objective over economic objective. Moreover, an algorithm to modify the target zone based on the economic performance and reachability of the optimal steady state is proposed. The modified target zone effectively decouples the dynamic zone tracking and economic objectives and simplifies parameter tuning.

Suggested Citation

  • Su Liu & Jinfeng Liu, 2018. "Economic Model Predictive Control with Zone Tracking," Mathematics, MDPI, vol. 6(5), pages 1-19, April.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:5:p:65-:d:143212
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    References listed on IDEAS

    as
    1. J.-F. Yang & L.-F. Xiao & J.-X. Qian & H. Li, 2011. "Nonlinear model predictive control using parameter varying BP-ARX combination model," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(3), pages 475-490.
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    Cited by:

    1. Kong, Xiaobing & Abdelbaky, Mohamed Abdelkarim & Liu, Xiangjie & Lee, Kwang Y., 2023. "Stable feedback linearization-based economic MPC scheme for thermal power plant," Energy, Elsevier, vol. 268(C).
    2. Wan, Xin & Xu, Feng & Luo, Xiong-Lin, 2022. "Economic optimization for process transition based on redundant control variables in the framework of zone model predictive control," Energy, Elsevier, vol. 241(C).

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