Title :
Dynamic average consensus with distributed event-triggered communication
Author :
Kia, Solmaz S. ; Cortes, Jorge ; Martinez, Sonia
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Univ. of California, Irvine, Irvine, CA, USA
Abstract :
This paper analyzes distributed algorithmic solutions to dynamic average consensus implemented in continuous time and relying on communication at discrete instants of time. Our starting point is a distributed coordination strategy that, under continuous-time communication, achieves practical asymptotic tracking of the dynamic average of the time-varying agents´ inputs. We propose two different distributed event-triggered communication laws, depending on whether the interaction topology is described by a strongly connected and weight-balanced digraph or an undirected connected graph. In both cases, we establish positive lower bounds on the inter-event times of each agent and characterize their dependence of the algorithm design parameters. We build on this result to rule out the presence of Zeno behavior and characterize the asymptotic correctness of the resulting implementations. Simulations illustrate the results.
Keywords :
continuous time systems; directed graphs; time-varying systems; Zeno behavior; asymptotic correctness; asymptotic tracking; continuous-time communication; distributed coordination strategy; distributed event-triggered communication; dynamic average consensus; time-varying agent; undirected connected graph; weight-balanced digraph; Aerodynamics; Algorithm design and analysis; Convergence; Eigenvalues and eigenfunctions; Heuristic algorithms; Topology; Trajectory;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039494