Title Clustering Switching Regions for Feedback Controllers: A Convex Approach
Authors Chanfreut, Paula , Maria Maestre, Jose , MUROS, FRANCISCO JAVIER, Camacho, Eduardo F.
External publication Si
Means IEEE Transactions on Control of Network Systems
Scope Article
Nature Científica
JCR Quartile 2
SJR Quartile 1
JCR Impact 4.347
SJR Impact 2.588
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-85105308399&doi=10.1109%2fTCNS.2021.3084049&partnerID=40&md5=070416e2102b159ef4c32baefc0e6eb5
Publication date 01/12/2021
ISI 000731146800017
Scopus Id 2-s2.0-85105308399
DOI 10.1109/TCNS.2021.3084049
Abstract Coalitional control groups dynamically local controllers into clusters that jointly determine their control actions to maximize control performance while minimizing the cooperation burden. This work presents linear matrix inequalities decision methods to set state-space regions where the switchings between network topologies satisfy properties of interest. In particular, convexity guarantees ellipsoidal switching sets with back-switchings avoided via a dwell time. Also, the convexity property is exploited to analyze the need for coordination at different points of the state space, leading to coordination effort zones. Moreover, by considering invariance, new ellipsoids that confine the state between topologies transitions are provided. Finally, we introduce additional conditions to attain submodularity and, hence, reduce the effort to find optimal solutions. A numerical example is given to illustrate the feasibility of the proposed approach.
Keywords Coalitional control; control by clustering; control systems design; distributed control; distributed feedback gains; linear control systems; network topologies
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