Wang, YeSalvador Ortiz, José RamónMuñoz de la Peña Sequedo, DavidPuig, VicençCembrano, Gabriela2019-05-292019-05-292018-08Wang, Y., Salvador Ortiz, J.R., Muñoz de la Peña Sequedo, D., Puig Cayuela, V. y Cembrano Gennari, G. (2018). Economic model predictive control based on a periodicity constraint. Journal of Process Control, 68, 226-239.0959-1524https://hdl.handle.net/11441/86985This paper addresses a novel economic model predictive control (MPC) formulation based on a periodicity constraint to achieve an optimal periodic operation for discrete-time linear systems. The proposed control strategy does not rely on forcing the terminal state by means of a terminal equality constraint and hence it does not require a priori knowledge of a periodic steady trajectory. Instead, at each sampling time step the economic cost function is optimized based on a periodicity constraint over all the periodic trajectories that include the current state. The recursive feasibility and the closed-loop convergence to a periodic steady trajectory are discussed. Moreover, an optimality certificate of this steady trajectory is provided based on the Karush–Kuhn–Tucker (KKT) optimality conditions. Finally, an application to a well-known water distribution network benchmark is presented to demonstrate the proposed economic MPC in which the closed-loop simulation results obtained with a linear model and a virtual–reality simulator are both providedapplication/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Economic model predictive controlPeriodicity constraintRecursive feasibilityConvergence analysisWater distribution networksinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jprocont.2018.06.008