复杂网络的无模型自适应牵制控制

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中图分类号：TB13；TP18 文献标识码：A

Abstract：For the difficulties modeling and designing proper controllers for complex network control problems，a model free adaptive control based pinning scheme is proposed to control complex network with unknown and nonlinear coupled relationship in this paper. Firstly，a dynamical linearization model is built based on input/output data selected pinning node，then a distributed pinning scheme is proposed under minimum variance estimation criterion. This scheme is a data-driven control method because it is designed only with I/O data pined nodes instead network model. The stability analysis for the synchronization error is based on the reduction theorem，contraction mapping method and virtual control. The simulation results demonstrate that the proposed pinning scheme can drive all nodes in network to synchronization states by only control the pinned nodes in network.

Keywords： complex network; pinning control; model-free adaptive control; kuramoto network

0 引言

复杂网络广泛存在于真实世界中，诸如互联网[1]，电力网络[2]，社会系统[3]等。（剩余12773字）