Further Results on Finite-Time Distributed Control of Multiagent Systems with Time Transformation


In previous work, a (smooth) finite-time distributed control algorithm with time transformation was introduced for first-order multiagent systems, which guarantees convergence of the single state of agents to a time-varying leader at a-priori given, user-defined time T from any arbitrary initial conditions with bounded local control signals. In this paper, we present an extension of this previous work to second-order multiagent systems. Specifically, utilizing a user-defined finite-time interval of interest t ∈ [0, T ), we time transform this class of multiagent systems subject to the considered (smooth) distributed control algorithm to an infinite-time interval s ∈ [0, ∞) with s being the stretched time. Based on a property of this time transformation, this results in finite-time convergence as the regular time t approaches to T from any arbitrary initial conditions with bounded local control and internal signals. Finally, two numerical examples illustrate the efficacy of the proposed algorithm.

Meeting Name

ASME 2018 Dynamic Systems and Control Conference, DSCC 2018 (2018: Sep. 30-Oct. 3, Atlanta, GA)


Mechanical and Aerospace Engineering

Second Department

Mathematics and Statistics

Research Center/Lab(s)

Center for High Performance Computing Research

Keywords and Phrases

Aircraft detection; Control system analysis; Distributed parameter control systems; Motion planning; Networked control systems; Software agents; Vibration analysis; Distributed control; Distributed control algorithms; Finite time intervals; Finite-time convergence; Infinite time; Initial conditions; Internal signals; Second orders; Multi agent systems

International Standard Book Number (ISBN)


Document Type

Article - Conference proceedings

Document Version


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© 2018 American Society of Mechanical Engineers (ASME), All rights reserved.

Publication Date

01 Sep 2018