In order to solve the problem that it is difficult to select the optimal combination of linear quadratic controller (LQR) weight parameters through experience, a Lévy flying particle swarm algorithm with greedy principle is proposed to optimize the LQR weight matrix Q. The traditional particle swarm algorithm is easy to locally converge. On this basis, the Lévy flight principle and the greedy selection method are added to expand the parameter optimization range and increase the convergence speed, and the optimal weight matrix Q is obtained. The acceleration response and displacement response of the vibration isolation object under the two-layer precision vibration isolation system model under the control of LQR are analyzed under the conditions of sweep frequency excitation and random excitation. The simulation results show that the Lévy flying particle swarm algorithm with the principle of greed is effective Increasing the uniformity of the population distribution improves the convergence speed to find the optimal solution, and can effectively achieve vibration isolation in both excitation conditions.