Robustness of Finite-Time Distributed Control Algorithm with Time Transformation

Abstract

The focus of this paper is distributed control of multiagent systems in a-priori given, user-defined finite-time interval using a recently developed time transformation approach. In particular, we utilize a time transformation function to convert a user-defined finite-time interval to a stretched infinite-time interval such that a distributed control algorithm can be designed on this stretched interval and then it can be transformed back to the original finite-time interval in order to satisfy a given multiagent system objective. In addition, the robustness of the resulting finite-time distributed control algorithm against vanishing and non-vanishing system uncertainties is also discussed. In contrast to existing finite-time approaches, the presented algorithm can preserve apriori given, user-defined finite-time convergence regardless of the initial conditions of the multiagent system and without the need for a knowledge of the upper bounds of the considered system uncertainty classes.

Meeting Name

2019 American Control Conference, ACC 2019 (2019: Jul. 10-12, Philadelphia, PA)

Department(s)

Mathematics and Statistics

Research Center/Lab(s)

Center for High Performance Computing Research

International Standard Book Number (ISBN)

978-1-5386-7926-5

International Standard Serial Number (ISSN)

2378-5861

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 American Automatic Control Council, All rights reserved.

Publication Date

12 Jul 2019

Link to Full Text

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