An electromagnetic isolation system can dynamically adjust the output characteristic parameters of the system in real time through the active control strategy, which has strong adaptability to the external environment. In order to control the electromagnetic vibration isolation system effectively, an active control method is presented based on the linear quadratic regulator (LQR) approach and the coevolutionary niche genetic algorithm (NGA). In this paper, the dynamical equation and state equation of the electromagnetic isolation system are built, which include the nonlinear relationship between electromagnetic force and coil current and gap. The LQR approach is employed to maintain a steady state of an isolated object on the vibration isolation system. Meanwhile, a coevolutionary niche genetic algorithm is put forward to optimize the parameters in Q and R matrices. Simulation and experimental results demonstrate that the electromagnetic isolation system with the LQR approach and coevolutionary NGA can effectively isolate the vibration and maintain a steady state for an isolated object in comparison with the passive isolation system.

中文翻译：

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基于LQR和协进化NGA的电磁隔离系统的振动控制方法

电磁隔离系统可以通过主动控制策略实时动态地实时调整系统的输出特性参数，对外界环境具有较强的适应性。为了有效地控制电磁振动隔离系统，提出了一种基于线性二次调节器（LQR）和协进化生态位遗传算法（NGA）的主动控制方法。本文建立了电磁隔离系统的动力学方程和状态方程，其中包括电磁力与线圈电流和间隙之间的非线性关系。LQR方法用于在振动隔离系统上保持隔离对象的稳定状态。与此同时，Q和R矩阵。仿真和实验结果表明，与无源隔离系统相比，采用LQR方法和协同进化NGA的电磁隔离系统可以有效地隔离振动并保持隔离对象的稳态。