Output-based adaptive distributed observer for general linear leader systems over periodic switching digraphs

Abstract

In this paper, we present a sufficient condition for the exponential stability of a class of linear switched systems. As an application of this stability result, we establish an output-based adaptive distributed observer for a general linear leader system over a periodic jointly connected switching communication network, which extends the applicability of the output-based adaptive distributed observer from a marginally stable linear leader system to any linear leader system and from an undirected switching graph to a directed switching graph. This output-based adaptive distributed observer will be applied to solve the leader-following consensus problem for multiple double-integrator systems.

The original online version of this article was revised: the statement of Data availability and Competing interests have been added.

A correction to this article is available online at https://doi.org/10.1007/s43684-025-00109-w.

Keywords

Distributed observer / Multi-agent systems / Stability / Switched systems

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Funding

University Grants Committee(14202619)

National Natural Science Foundation of China(61973260)

RIGHTS & PERMISSIONS

The Author(s)