Distributed Byzantine-Resilient Observer for High-Order Integrator Multiagent Systems on Directed Graphs: An Edge-Based Approach

This work deals with the distributed Byzantine-resilient observer (DBRO) design problem for continuous-time high-order integrator multiagent systems on directed graphs, which intends to estimate the leader states accurately in a finite-time interval. A new kind of edge-based DBRO is first formulated...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 69; no. 5; pp. 3294 - 3300
Main Authors Gong, Xin, Li, Xiuxian, Shu, Zhan
Format Journal Article
LanguageEnglish
Published New York IEEE 01.05.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Barium
Byzantine attacks
Convergence
Directed graphs
distributed observer
Graph theory
Graphs
Indexes
Integrators
Multi-agent systems
Multiagent systems
nonautonomous leader
Observers
resilient observer
Robustness (mathematics)
Topology
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Summary:This work deals with the distributed Byzantine-resilient observer (DBRO) design problem for continuous-time high-order integrator multiagent systems on directed graphs, which intends to estimate the leader states accurately in a finite-time interval. A new kind of edge-based DBRO is first formulated for the followers to estimate each order of the nonautonomous leader's state, which is implemented in a cascading manner. Then, the finite-time zero-error estimation performance of the above DBRO is guaranteed for both time-invariant and time-varying strongly <inline-formula><tex-math notation="LaTeX">(2f+1)</tex-math></inline-formula>-robust directed topologies, based on strictly nonsmooth analysis and mathematical induction method. Finally, the practicability and validity of this new DBRO are illustrated via a numerical simulation example.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2023.3321866