Backstepping leaderless dynamic consensus among nonlinear systems over directed networks: application to attitude synchronisation control
Résumé
We present a distributed consensus controller for multi-agent homogeneous nonlinear systems over directed networks. The systems are assumed to be of second order and the control design relies on a standard backstepping approach. In that light, the control design also hinges on the ability to construct a strict Lyapunov function for the multi-agent nonlinear system interconnected over a directed graph for which the only assumption is that it is connected. That is, that there exists a directed spanning tree, but there is no requirement of conservative conditions such as strong or balanced connectivity. To construct a strict Lyapunov function, we use a generalised Lyapunov equation for the directed-graph Laplacian matrix, which characterises the spanning-tree-existence condition. Then, we establish exponential stability of the consensus manifold. In addition, we implement our dynamic consensus controller on a multiagent satellite system in the context of attitude synchronisation and demonstrate its efficacy in numerical simulations.
Domaines
AutomatiqueOrigine | Fichiers produits par l'(les) auteur(s) |
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