基于滑模控制法的不确定复杂网络间有限时间组合同步

Finite-time combination synchronization of uncertain complex networks based on sliding mode control method

将组合同步的概念引入到复杂网络,针对4个不确定复杂网络间的有限时间组合同步问题进行研究;将同时受到未知参量及不确定扰动影响的4个复杂网络按照A+B+C-D的形式进行组合;基于滑模控制原理及有限时间稳定性理论,设计网络滑模面及控制输入,得到实现同步的充分条件.最后通过数值仿真验证所提方法的有效性.

The concept of combination synchronization is introduced into complex network, for investigating finite-time combination synchronization of four uncertain complex networks. Four complex networks, which are effected by unknown parameters and uncertain disturbances at the same time, are combined as the form of A＋B＋C-D. Based on the sliding mode control principle and finite time stability theory, the sufficient conditions of synchronization are obtained with designing appropriate network sliding mode surface and control inputs. Finally, a numerical example is given to illustrate the effectiveness of the proposed scheme.