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Evolutionary-games approach for distributed predictive control involving resource allocation

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Autores
Barreiro-Gomez J.
Obando Bravo, Germán Dario
Ocampo-Martinez C.
Quijano N.

Fecha
2019

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Institution of Engineering and Technology

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Abstract
This study proposes a distributed model predictive control (DMPC) scheme based on population games for a system formed by a set of sub-systems. In addition to considering independent operational constraints for each sub-system, the controller addresses a coupled constraint that involves the sum of all control inputs. This constraint models an upper bound on the total amount of energy supplied to the plant. The proposed approach does not need a centralised coordinator when having a coupled constraint involving all the decision variables. The proposed methodology, which takes advantage of evolutionary game theory concepts, provides an optimal solution for the described problem. Moreover, it is shown that the methodology has plug- and-play features, i.e. for each already designed local MPC controller nothing changes when more sub-systems are added/ removed to/from the global constrained control problem. Furthermore, the stability analysis of the proposed DMPC scheme is presented. © The Institution of Engineering and Technology 2019
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Keywords
Game theory , Model predictive control , Predictive control systems , Constrained controls , Coupled constraints , Decision variables , Distributed Model predictive Control , Distributed predictive control , Evolutionary game theory , Operational constraints , Stability analysis , Controllers
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