Decompositions for MPC of Linear Dynamic Systems with Activation Constraints

Pedro Henrique Valderrama Bento da Silva, Eduardo Camponogara, Laio Oriel Seman, Gabriel Villarrubia González and Valderi Reis Quietinho Leithardt
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Pedro Henrique Valderrama Bento da Silva: Department of Automation and Systems Engineering, Federal University of Santa Catarina, Florianópolis 88040-900, Brazil
Eduardo Camponogara: Department of Automation and Systems Engineering, Federal University of Santa Catarina, Florianópolis 88040-900, Brazil
Laio Oriel Seman: Department of Automation and Systems Engineering, Federal University of Santa Catarina, Florianópolis 88040-900, Brazil
Gabriel Villarrubia González: Expert Systems and Applications Lab, Faculty of Science, University of Salamanca, Plaza de los Caídos s/n, 37008 Salamanca, Spain
Valderi Reis Quietinho Leithardt: COPELABS, Universidade Lusófona de Humanidades e Tecnologias, 1749-024 Lisboa, Portugal

Energies, 2020, vol. 13, issue 21, 1-26

Abstract: The interconnection of dynamic subsystems that share limited resources are found in many applications, and the control of such systems of subsystems has fueled significant attention from scientists and engineers. For the operation of such systems, model predictive control (MPC) has become a popular technique, arguably for its ability to deal with complex dynamics and system constraints. The MPC algorithms found in the literature are mostly centralized, with a single controller receiving the signals and performing the computations of output signals. However, the distributed structure of such interconnected subsystems is not necessarily explored by standard MPC. To this end, this work proposes hierarchical decomposition to split the computations between a master problem (centralized component) and a set of decoupled subproblems (distributed components) with activation constraints, which brings about organizational flexibility and distributed computation. Two general methods are considered for hierarchical control and optimization, namely Benders decomposition and outer approximation. Results are reported from a numerical analysis of the decompositions and a simulated application to energy management, in which a limited source of energy is distributed among batteries of electric vehicles.

Keywords: MPC; Benders decomposition; outer approximation; battery charging; EV (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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