A distributed optimization-based approach for hierarchical MPC of
large-scale systems with coupled dynamics and constraints
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.
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.
- Corresponding technical report:
pdf
file
(302 KB)
- M.D. Doan, T. Keviczky, and B. De Schutter, "A distributed optimization-based
approach for hierarchical model predictive control of large-scale systems with
coupled dynamics and constraints: Extended report," Tech. report 11-039, Delft
Center for Systems and Control, Delft University of Technology, Delft, The
Netherlands, 8 pp., Aug. 2011. A short version of this paper has been published
in the 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, bibtex, report
(pdf))
@inproceedings{DoaKev:11-039,
author={M.D. Doan and T. Keviczky and B. {D}e Schutter},
title={A distributed optimization-based approach for hierarchical {MPC} of
large-scale systems with coupled dynamics and constraints},
booktitle={Proceedings of the 2011 50th IEEE Conference on Decision and Control
and European Control Conference (CDC-ECC)},
address={Orlando, Florida},
pages={5236--5241},
month=dec,
year={2011}
}
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