Observer Based Leader–Follower Bipartite Consensus With Intermittent Failures Using Lyapunov Functions and Time Scale Theory

Subham Dey (1) , Fatima Zohra Taousser (2) , Mohamed Djemai (1) , Michael Defoort (1) , Stefano Di Gennaro (2, 3)

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201
2 Department of Anthropology [University of Tennessee]
3 DEWS - Center of Excellence DEWS,

This letter introduces a distributed observer-based protocol to achieve bipartite leader-follower consensus for linear multi-agent systems under intermittent failures. Under possible failures in the measurement and control input channels, the consensus protocol is based on intermittent interaction rules. Using the concept of time scales theory, the closed-loop system dynamics are converted to a switched system between continuous-time and discrete-time dynamics. Closed-loop stability is proved using Lyapunov functions and time scales theory. Numerical simulations illustrate the effectiveness of the designed distributed observer-based protocol proposed in this letter.

Mots clés: "Switched systems"; "Lyapunov methods"; "Eigenvalues and eigenfunctions"; "Topology"; "Time-domain analysis"; "Vehicle dynamics"; "Time measurement"

Domaines: Automatique / Robotique

Subham Dey, Fatima Zohra Taousser, Mohamed Djemai, Michael Defoort, Stefano Di Gennaro. Observer Based Leader–Follower Bipartite Consensus With Intermittent Failures Using Lyapunov Functions and Time Scale Theory. IEEE Control Systems Letters, 2020, 5 (6), pp.1904-1909. ⟨10.1109/LCSYS.2020.3040944⟩. ⟨hal-03423983⟩