随机扰动下多电机网络混沌振荡的反馈可调节控制

Feedback adjustable control of chaotic oscillation in multi-motor network under random disturbance GUO Shiming,WEI Duqu

电机在某些参数及工作条件下会出现混沌振荡行为。多电机网络的混沌控制对保证电力传动系统的正常运行有重要意义。在实际生产中,多电机网络由于受到随机噪声及随机负荷等因素影响而具有随机性。因此,在设计控制器时考虑系统的随机性非常有必要。首先以永磁同步电机(permanent magnet synchronous motor,PMSM)为节点,以电机间的耦合为连边,建立随机扰动下复杂拓扑结构的多电机网络模型(Newman-Watts型小世界网络、星型网络)。然后基于李雅普诺夫稳定性理论提出反馈可调节控制方法,对多电机网络的混沌进行控制。最后数值仿真验证了控制方法的可行性和有效性,研究结果对保证电力传动系统正常运行具有指导意义。

Under some parameters and working conditions,a motor can have chaotic oscillation behavior.Chaos control of multi-motor network is of great significance to ensure normal operation of electric power transmission system.In practical production,a multi-motor network has randomness due to effects of random noise and random load on it.Therefore,it is necessary to consider the randomness of the system when designing its controller.Here,firstly,taking a permanent magnet synchronous motor(PMSM)as the node and coupling among motors as the connecting edge,the multi-motor network model with different complex topologic structures including Newman-Watts small world network and the star network under random disturbance was established.Then,based on Lyapunov stability theory,a feedback adjustable control method based on stochastic nonlinear system was proposed to control chaos of the multi-motor network.Finally,the feasibility and effectiveness of the proposed control method were verified with numerical simulation.It was shown that the study results can provide a guidance for ensuring the normal operation of electric power transmission systems.