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Fixed mode elimination by minimum communication within an estimator-based framework for distributed control
Publikationstyp
Journal Article
Date Issued
2017-06-20
Sprache
English
Author(s)
Journal
Volume
1
Issue
2
Start Page
346
End Page
351
Citation
IEEE Control Systems Letters 1 (2): 346-351 (2017-10-01)
Publisher DOI
Scopus ID
Publisher
IEEE
A distributed control scheme is considered, where each subsystem estimates a part of the state space and uses a state feedback-based controller to actuate a subset of the system’s inputs. The estimated parts of the state space are overlapping and thus provide some information about the neighboring subsystems to the local controllers. The number of communication links which are added to improve performance is a design choice. However, a minimum of communication is needed if there are fixed modes (FMs), which are eigenvalues of the closed-loop system that cannot be changed under the given structural constraints. Mild conditions on the overlapping structure are given under which there exists a communication topology of measurements or estimates to eliminate all FMs. The problem of finding the minimum communication to eliminate all FMs is formulated as a minimum cost coverage problem with submodular constraints. Based on this result, an algorithm for the FM elimination is proposed and compared to the greedy algorithm. A numerical example illustrates the results.
Subjects
Distributed control
Estimation
Fixed modes
Minimum cost coverage problem
Overlapping state space
DDC Class
004: Informatik
More Funding Information
This work was supported by the NCCR Digital Fabrication funded by the Swiss National Science Foundation (NCCR Digital Fabrication Agreement) under Grant 51NF40-141853.