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Decentralized adaptive controller for synchronization of nonlinear dynamical heterogeneous networks. (English) Zbl 1283.93018

Summary: For a network of interconnected nonlinear dynamical systems, an adaptive leader-follower output feedback synchronization problem is considered. The proposed structure of decentralized controller and adaptation algorithm is based on speed gradient and passivity. Sufficient conditions of synchronization for one class of heterogeneous networks are established. An example of synchronization of the network of non-identical Chua systems is analyzed. The main contribution of the paper is adaptive controller design and analysis under conditions of incomplete measurements, incomplete control, and uncertainty.

MSC:

93A14 Decentralized systems
93C40 Adaptive control/observation systems
93C10 Nonlinear systems in control theory
93B52 Feedback control
93D99 Stability of control systems
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