Newman-Watts型小世界电机网络混沌行为的牵制控制

小世界永磁同步电机(PMSM)网络的耦合强度和连接概率参数值处于某些范围时,会出现混沌行为,这将严重危及电机网络传动系统的稳定运行。因此,如何控制PMSM网络中的混沌行为成为保持其稳定性的关键问题。首先给出了NewmanWatts型小世界PMSM网络的牵制控制模型,然后通过Lyapunov稳定性理论证明了受控系统的稳定性,并得到牵制控制器参数的选择条件,最后利用数值仿真方法验证该牵制控制方法的正确性。

Controlling Chaos in Newman-Watts Small-World Motor Networks by Pinning Method

With certain connection randomness and coupling strength, the permanent magnet synchronous motors in Newman-Watts small-world (NWSW) networks fall into chaotic motion and threaten the secure and stable operation of the drive system.To control the undesirable chaos in complex motor networks, an adaptive controller based on pinning method is first presented.And then, the stability of the controlled system is proved by Lyapunov stability theory and the threshold values of parameter conditions for the onset of stability are obtained.Finally, the simulation results show that the proposed control law is correct and effective.Our research results are helpful to maintain the secure operation of drive system.