Reference:
M.D. Doan,
T. Keviczky, and
B. De Schutter,
"A distributed optimization-based approach for hierarchical MPC of
large-scale systems with coupled dynamics and constraints,"
Proceedings of the 2011 50th IEEE Conference on Decision and
Control and European Control Conference (CDC-ECC), Orlando,
Florida, pp. 5236-5241, Dec. 2011.
Abstract:
We present a hierarchical MPC approach for large-scale systems based
on dual decomposition. The proposed scheme allows coupling in both
dynamics and constraints between the subsystems and generates a primal
feasible solution within a finite number of iterations, using primal
averaging and a constraint tightening approach. The primal update is
performed in a distributed way and does not require exact solutions,
while the dual problem uses an approximate subgradient method.
Stability of the scheme is established using bounded suboptimality.