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Passivity based distributed tracking control of networked Euler-Lagrange systems

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arxiv 1805.05873 v1 pith:572QXUGU submitted 2018-05-15 cs.SY cs.SY

Passivity based distributed tracking control of networked Euler-Lagrange systems

classification cs.SY cs.SY
keywords networkedcontrolagentsarcakcitecontrollersdistributeddynamics
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we present three distributed control laws for the coordination of networked Euler-Lagrange (EL) systems. We first reformulate the passivity-based control design method in \cite{Arcak} by considering that each edge is associated with an \emph{artificial spring system} instead of the usual diffusive coupling among the communicating agents. With this configuration, the networked EL system possesses a "symmetric" feedback structure which together with the strict passivity of both agents' and edges' dynamics lead to a strictly passive network dynamics. Subsequently we present the networked version of two different passivity-based tracking controllers %local controllers that are particular cases of our method and the one in \cite{Arcak}. Numerical simulation is presented to show the performance of the proposed methods.

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