A Finite-Time Consensus Framework Over Time-Varying Graph Topologies With Temporal Constraints

Author:

Kan Zhen1,Yucelen Tansel2,Doucette Emily3,Pasiliao Eduardo3

Affiliation:

1. Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242 e-mail:

2. Department of Mechanical Engineering, University of South Florida, Tampa, FL 33620 e-mail:

3. Munitions Directorate, Air Force Research Laboratory, Eglin Air Force Base, Shalimar, FL 32579 e-mail:

Abstract

Finite-time consensus has attracted significant research interest due to its wide applications in multiagent systems. Various results have been developed to enable multiagent systems to complete desired tasks in finite-time. However, most existing results in the literature can only ensure finite-time consensus without considering temporal constraints, where the time used to achieve consensus cannot be preset arbitrarily and is generally determined by the system initial conditions, prohibiting its application in time-sensitive tasks. Motivated to achieve consensus within a desired time frame, user-specified finite-time consensus is developed in the present work for a multiagent system to ensure consensus at a prespecified time instant. The interaction among agents (e.g., communication and information exchange) is modeled as a time-varying graph, where each edge is associated with a time-varying weight representing the time-varying interaction between neighboring agents. Consensus over such time-varying graph is then proven based on a time transformation and is guaranteed to be completed within a prespecified time frame. To demonstrate the developed framework, finite-time rendezvous of a multiagent system is considered as an example application, where agents with limited communication capabilities are desired to meet at a common location at a preset time instant with constraints on preserving global network connectivity. A numerical simulation is provided to demonstrate the efficiency of the developed result.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

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