F. Valencia, J.J. Espinosa, B. De Schutter, and K. Stanková, "Feasible-cooperation distributed model predictive control scheme based on game theory," Proceedings of the 18th IFAC World Congress, Milan, Italy, pp. 386-391, Aug.-Sept. 2011.
This work deals with the formulation of a distributed model predictive control scheme as a decision problem in which the decisions of each subsystem affect the decisions of the other subsystems and the performance of the whole system. This decision problem is formulated as a bargaining game. This formulation allows each subsystem to decide whether to cooperate or not depending on the benefits that the subsystem can gain from the cooperation. A solution based on game theory is proposed. The convexity and feasibility properties of the proposed solution are also presented. The proposed control scheme is tested on a case study with a chain of two continuous stirred tank reactors followed by a non-adiabatic flash separator.