Structurally quotient fixed modes

Structurally quotient fixed modes

Ramos, Guilherme (Universidade do Porto)
Aguiar, A. Pedro (Universidade do Porto)
Gonçalves Melo Pequito, S.D. (TU Delft Team Tamas Keviczky)

2021

We provide a necessary and sufficient graph-theoretical characterization of quotient fixes modes occurring in parametric decentralized control systems. Specifically, we introduce the notion of structurally quotient fixed modes (SQFMs) that generically captures the quotient fixed modes and only depends on the system's structure. Additionally, we provide an efficient polynomial-time algorithm for the verification of this graph-theoretical condition. We show that this algorithm can be parallelized, and linear-time computational complexity approximation algorithms can be considered to attain a sub-optimal solution. Lastly, we discuss the implications of the actuation–sensing–communication capabilities and the systems’ interconnections on the existence of SQFM.

Decentralized control
Large-scale systems
Quotient fixed modes
Structural systems

http://resolver.tudelft.nl/uuid:7827dd3c-68e8-41cb-9e57-89c354770932

https://doi.org/10.1016/j.sysconle.2021.104914

2021-10-10

0167-6911

Systems & Control Letters, 151

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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journal article

© 2021 Guilherme Ramos, A. Pedro Aguiar, S.D. Gonçalves Melo Pequito