Abstract：For the difficulties of 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 of 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 of pinned nodes instead of 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.
陶昭, 侯忠生. 复杂网络的无模型自适应牵制控制[J]. 复杂系统与复杂性科学, 2025, 22(2): 120-127.
TAO Zhao, HOU Zhongsheng. Model Free Adaptive Pinning Control for Complex Network[J]. Complex Systems and Complexity Science, 2025, 22(2): 120-127.
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