Modeling and adaptive pinning synchronization control for a chaotic-motion motor in complex network

• The chaotic motor complex dynamic networks are constructed.
• The sufficient conditions for the adaptive pinning synchronization are derived.
• The suitable adaptive feedback controllers are designed.
• Nodes selective algorithm is discussed.

We introduce a chaos model for a permanent-magnet synchronous motor and construct a coupled chaotic motor in a complex dynamic network using the Newman–Watts small-world network algorithm. We apply adaptive pinning control theory for complex networks to obtain suitable adaptive feedback gain and the number of nodes to be pinned. Nodes of low degree are pinned to realize global asymptotic synchronization in the complex network. The proposed adaptive pinning controller is added to the complex motor network for simulation and verification.