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Leader-following bipartite consensus with disturbance rejection for uncertain multiple Euler–Lagrange systems over signed networks.
- Source :
-
Journal of the Franklin Institute . Oct2021, Vol. 358 Issue 15, p7786-7803. 18p. - Publication Year :
- 2021
-
Abstract
- In this paper, the leader-following bipartite consensus is investigated for a group of uncertain multiple Euler–Lagrange systems with disturbances. An innovative adaptive distributed observer is developed without requiring that followers surely acquire the leader's auxiliary state and system matrix. A directed signed network satisfying the principle of structural balance is exploited to describe the interaction among agents. Then a novel bipartite consensus control protocol is proposed to solve the bipartite consensus problem of multiple Euler–Lagrange systems. The theoretical proof is provided via constructing a Lyapunov function and applying Barbalat lemma to analyze the convergence problem. Finally, a numerical simulation is utilized to demonstrate the effectiveness of proposed method. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EULER-Lagrange system
*BIPARTITE graphs
*LYAPUNOV functions
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 00160032
- Volume :
- 358
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- Journal of the Franklin Institute
- Publication Type :
- Periodical
- Accession number :
- 152711892
- Full Text :
- https://doi.org/10.1016/j.jfranklin.2021.07.043