Economic Model Predictive Control with Zone Tracking
Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada
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Mathematics 2018, 6(5), 65; https://doi.org/10.3390/math6050065
Received: 1 April 2018 / Revised: 22 April 2018 / Accepted: 23 April 2018 / Published: 25 April 2018
(This article belongs to the Special Issue New Directions on Model Predictive Control)
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.
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MDPI and ACS Style
Liu, S.; Liu, J. Economic Model Predictive Control with Zone Tracking. Mathematics 2018, 6, 65. https://doi.org/10.3390/math6050065
AMA Style
Liu S, Liu J. Economic Model Predictive Control with Zone Tracking. Mathematics. 2018; 6(5):65. https://doi.org/10.3390/math6050065
Chicago/Turabian StyleLiu, Su; Liu, Jinfeng. 2018. "Economic Model Predictive Control with Zone Tracking" Mathematics 6, no. 5: 65. https://doi.org/10.3390/math6050065
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