A Distributed Optimization-Based Approach for Hierarchical Model Predictive Control of Large-Scale Systems with Coupled Dynamics and Constraints: Extended Report

Reference

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

We present a hierarchical model predictive control 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.

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Original paper

BibTeX

@techreport{DoaKev:11-039a,
   author      = {Doan, Minh Dang and Keviczky, Tam{\'a}s and De Schutter,
                  Bart},
   title       = {A Distributed Optimization-Based Approach for Hierarchical
                  Model Predictive Control of Large-Scale Systems with Coupled
                  Dynamics and Constraints: Extended Report},
   number      = {11-039},
   institution = {Delft Center for Systems and Control, Delft University of
                  Technology},
   address     = {Delft, The Netherlands},
   month       = aug,
   year        = {2011},
   note        = {A short version of this paper has been published in the
                  \emph{Proceedings of the 2011 50th IEEE Conference on
                  Decision and Control and European Control Conference
                  (CDC-ECC)}, Orlando, Florida, pp.\ 5236--5241, Dec.\ 2011}
   }


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