Title :
Optimal synchronization of circulant networked multi-agent systems
Author :
Mosebach, Andrej ; Lunze, Jan
Author_Institution :
Inst. of Autom. & Comput. Control, Ruhr-Univ. Bochum, Bochum, Germany
Abstract :
This paper investigates the synchronization problem of identical agents while minimizing an LQ-based performance index that reflects the behavior of the synchronization errors. For an objective function which penalizes the synchronization errors with a circulant structured weighting matrix, an optimal networked controller is proposed which has the same structure. The resulting communication graph is a linear combination of circulant subgraphs which couple all agents with all other agents.
Keywords :
decentralised control; graph theory; linear quadratic control; matrix algebra; networked control systems; performance index; synchronisation; LQ-based performance index; circulant networked multiagent systems; circulant structured weighting matrix; circulant subgraphs; communication graph; optimal networked controller; optimal synchronization; synchronization error behavior; Eigenvalues and eigenfunctions; Laplace equations; Linear programming; Multi-agent systems; Optimization; Synchronization; Vectors;
Conference_Titel :
Control Conference (ECC), 2013 European
