Distributed MPC Under Coupled Constraints Based on Dantzig-Wolfe Decomposition

In this chapter, we propose a distributed model predictive control scheme based on the Dantzig-Wolfe decomposition to control a collection of linear dynamical systems coupled by linear global constraints. The resulting structure is composed of one optimization agent for each system, and another one that has to ensure that the global constraints are fulfilled. The global solution of the problem is found in a finite number of iterations.