Reference:
D. Doan,
T. Keviczky,
I. Necoara,
M. Diehl, and
B. De Schutter,
"A distributed version of Han's method for DMPC using local
communications only," Control Engineering and Applied Informatics,
Special Issue on Distributed Control in Networked Systems, vol.
11, no. 3, pp. 6-15, 2009.
Abstract:
The study of Distributed Model Predictive Control (DMPC) for
dynamically coupled linear systems has so far typically focused on
situations where coupling constraints between subsystems are absent.
In order to address the presence of convex coupling constraints, we
present a distributed version of Han's parallel algorithm for a class
of convex programs. The distributed algorithm relies on local
iterative updates only, instead of system-wide information exchange as
in Han's parallel algorithm. The new algorithm then provides the basis
for a distributed MPC method that is applicable to sparsely coupled
linear dynamical systems with coupled linear constraints. Convergence
to the global optimum, recursive feasibility, and stability are
established using only local communications between the subsystems.