Pinning Synchronization in Networked Lagrangian Systems
Mihua Ma, Jin Zhou, Jianping Cai · Asian Journal of Control · 2015
Abstract This paper investigates the synchronization problem of networked Lagrangian systems based on pinning control framework on complex networks. We propose a pinning algorithm to guarantee the controlled synchronization of networked identical Lagrangian systems by applying local linear feedback injections to a small fraction of nodes. We also present some simple yet generic criteria on pinning synchronization for such an algorithm over undirected connected graphs, where all the agents are regulated to follow a synchronization state. Furthermore, the pinning controllability in networked Lagrangian systems is also discussed. Compared with some existing works on networked Lagrangian systems, the distinctive advantages of the proposed pinning algorithm include: (i) independence on the knowledge of system models; (ii) explicit consideration of agent's intrinsic complex dynamics; and (iii) simplicity of implement procedure in practice. Subsequently, the results are illustrated by a typical Lagrangian network composing of eight two‐link revolute manipulators. Numerical simulations with different kinds of pinning schemes are finally given to demonstrate the effectiveness of the proposed control methodology.