State and input observability of multi-agent systems: A necessary and sufficient condition

Xiufeng Zhang*, Jian Sun, Gang Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

This paper considers the strong observability of multi-agent systems where a subset of agents are modified by unknown inputs. Leveraging a minimum separator decomposition, a necessary and sufficient condition for the state and input observability of multi-agent systems is established from a graph-theoretic perspective. The condition is formed by some special subgraphs and can be checked without complex computation. Besides, when the condition is not satisfied, it is shown that the state and input observability can be recovered by adding additional sensors to a subset of agents. A feasible sensor addition procedure is provided. Numerical examples corroborate the practical merits of the theoretical results.

Original languageEnglish
Article number105647
JournalSystems and Control Letters
Volume181
DOIs
Publication statusPublished - Nov 2023

Keywords

  • Invariant zeros
  • Multi-agent system
  • State and input observability
  • Structured system

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