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Data-Assisted Distributed Stabilization of Interconnected Linear Multiagent Systems without Persistency of Excitation

Authors:
Vahid Rezaei
Margareta Stefanovic

Keywords: Distributed Control; Decoupling Control; Finite Excitation; Interconnected Systems; Multiagent Systems

Abstract:
Stability of large-scale systems has been commonly achieved using centralized and decentralized control configurations. Several graph theoretic protocols have recently been developed for the distributed stabilization of partially unknown interconnected multiagent systems, when an upper bound on the unknown interconnection allocation matrices is provided to the control designer. The need for such an upper bound can be relaxed using adaptive control ideas. However, due to the inaccurate parameter estimation in the absence of the persistency of excitation for all agents’ regressors, the use of traditional adaptive control ideas will only ensure the boundedness of all trajectories. We develop a data-assisted distributed protocol which operates under a new condition, collective finite excitation, in order to overcome this challenge. Despite the completely unknown interconnection allocation matrices, we prove the exponential estimation of all interconnection matrices and exponential convergence of all state trajectories of the interconnected multiagent systems to the origin.

Pages: 66 to 71

Copyright: Copyright (c) IARIA, 2020

Publication date: September 27, 2020

Published in: conference

ISSN: 2308-3913

ISBN: 978-1-61208-787-0

Location: Lisbon, Portugal

Dates: from September 27, 2020 to October 1, 2020