Clustering Switching Regions for Feedback Controllers: A Convex Approach

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...

Descripción completa

Detalles Bibliográficos
Autores: Chanfreut, Paula, Maestre Torreblanca, José María, Muros, Francisco Javier, Fernández Camacho, Eduardo
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad Loyola Andalucía
Repositorio:Brújula
OAI Identifier:oai:repositorio.uloyola.es:20.500.12412/4979
Acceso en línea:https://hdl.handle.net/20.500.12412/4979
https://doi.org/10.1109/TCNS.2021.3084049
Access Level:acceso abierto
Palabra clave:Distributed control
Distributed feed backgains
Control by clustering
Coalitional control
Linear control systems
Network topologies
Control systems design
Descripción
Sumario: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.