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2011 American Control Conference, San Francisco : États-Unis (2011)
Control Law Synthesis for Distributed Multi-Agent Systems: Application to Active Clock Distribution Networks
Anton Korniienko 1, 2, Gérard Scorletti 1, Eric Colinet 2, Eric Blanco 1, Jérôme Juillard 3, Dimitri Galayko 4
(06/2011)

In this paper, the problem of active clock distribution network synchronization is considered. The network is made of identical oscillators interconnected through a distributed array of phase-locked-loops (PLLs). The problem of the PLL network design is reformulated, from a control theory point of view, as a control law design for a distributed multi-agent system. Inspired by the decentralized control law design methodology using the dissipativity input-output approach, the particular topology of interconnected subsystems is exploited to solve the problem by applying a convex optimization approach involving simple Linear Matrix Inequality (LMI) constraints. After choosing the dissipativity properties which is satisfied by the interconnection matrix, the constraints are transformed into an H∞ norm constraint on a particular transfer function that must be fulfilled for global stability. Additional constraints on inputs and outputs are introduced in order to ensure the desired performance specifications during the H∞ control design procedure.
1 :  Ampère
CNRS : UMR5005 – Université Claude Bernard - Lyon I – Institut National des Sciences Appliquées (INSA) - Lyon – Ecole Centrale de Lyon
2 :  Département Conception et Intégration dans les Systèmes (DCIS)
CEA : DRT/LETI
3 :  Supélec Sciences des Systèmes - EA4454 (E3S)
SUPELEC
4 :  Laboratoire d'Informatique de Paris 6 (LIP6)
CNRS : UMR7606 – Université Pierre et Marie Curie [UPMC] - Paris VI
Sciences de l'ingénieur/Automatique / Robotique