Distributed economic MPC: A framework for cooperative control problems

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

External Research Organisations

  • University of Stuttgart
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Details

Original languageEnglish
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
EditorsEdward Boje, Xiaohua Xia
PublisherIFAC Secretariat
Pages1029-1034
Number of pages6
ISBN (electronic)9783902823625
Publication statusPublished - 2014
Externally publishedYes
Event19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa
Duration: 24 Aug 201429 Aug 2014

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume19
ISSN (Print)1474-6670

Abstract

In this paper, we propose a distributed economic MPC algorithm for cooperative control of several self-interested interacting dynamical systems. Each system considers its own, local, performance criterion, and coordination between the systems is enforced via coupling constraints. The proposed control strategy consists of a distributed optimization algorithm, used to determine an overall optimal steady-state, whose current iterates at each time are then used by each system to compute a control input in an economic MPC framework. We analyze the properties of the proposed algorithm and prove convergence results for the resulting overall closed-loop system. Furthermore, we apply our results to the problem of synchonizing several agents with conflicting objective.

Keywords

    Cooperative control, Distributed MPC, Economic MPC

ASJC Scopus subject areas

Cite this

Distributed economic MPC: A framework for cooperative control problems. / Müller, Matthias A.; Allgöwer, Frank.
19th IFAC World Congress IFAC 2014, Proceedings. ed. / Edward Boje; Xiaohua Xia. IFAC Secretariat, 2014. p. 1029-1034 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Müller, MA & Allgöwer, F 2014, Distributed economic MPC: A framework for cooperative control problems. in E Boje & X Xia (eds), 19th IFAC World Congress IFAC 2014, Proceedings. IFAC Proceedings Volumes (IFAC-PapersOnline), vol. 19, IFAC Secretariat, pp. 1029-1034, 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014, Cape Town, South Africa, 24 Aug 2014. https://doi.org/10.3182/20140824-6-za-1003.01177
Müller, M. A., & Allgöwer, F. (2014). Distributed economic MPC: A framework for cooperative control problems. In E. Boje, & X. Xia (Eds.), 19th IFAC World Congress IFAC 2014, Proceedings (pp. 1029-1034). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19). IFAC Secretariat. https://doi.org/10.3182/20140824-6-za-1003.01177
Müller MA, Allgöwer F. Distributed economic MPC: A framework for cooperative control problems. In Boje E, Xia X, editors, 19th IFAC World Congress IFAC 2014, Proceedings. IFAC Secretariat. 2014. p. 1029-1034. (IFAC Proceedings Volumes (IFAC-PapersOnline)). doi: 10.3182/20140824-6-za-1003.01177
Müller, Matthias A. ; Allgöwer, Frank. / Distributed economic MPC : A framework for cooperative control problems. 19th IFAC World Congress IFAC 2014, Proceedings. editor / Edward Boje ; Xiaohua Xia. IFAC Secretariat, 2014. pp. 1029-1034 (IFAC Proceedings Volumes (IFAC-PapersOnline)).
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