【摘要】 为了提高三维振镜激光扫描系统的稳定性和鲁棒性,进行三维振镜激光扫描系统的数学优化建模,提出一种基于时滞二自由度微分系统的三维振镜激光扫描系统建模方法。采用时滞二自由度微分方程进行三维振镜激光扫描的能量波动系统建模,在激光能量分裂波束的超临界条件下进行激光扫描系统的半正定性分析,求得三维振镜激光扫描系统的幅值裕度和相位裕度,考虑振荡特性对系统的稳定性影响,构建等效的开环传递函数进行激光扫描的稳定性调节,构造Lyapunove泛函,使得三维振镜激光扫描系统处于临界稳定状态,保证了系统的稳定性。数据实证分析表明,该三维振镜激光扫描系统的数学模型是渐进稳定的,系统的收敛性较好。更多还原

【Abstract】 In order to improve the stability and robustness of the three-dimensional galvanometer laser scanning system,the mathematical optimization modeling of the three-dimensional galvanometer laser scanning system is carried out,and a three-dimensional galvanometer laser scanning system modeling method based on time-delay two-degreeof-freedom differential system is proposed. The energy fluctuation system of three-dimensional galvanometer laser scanning is modeled by two-degree-of-freedom differential equations with time-delay. The semi-positive definite analysis of the laser scanning system is carried out under the super-critical condition of laser energy splitting beam,and the magnitude amplitude and phase margin of three-dimensional galvanometer laser scanning system are obtained. Considering the influence of oscillation characteristics on the stability of the system,construct an equivalent open-loop transfer function to adjust the stability of laser scanning,and construct a Lyapunove functional to make the three-dimensional galvanometer laser scanning system in super-critical stability. The empirical analysis of the data shows that the mathematical model of the three-dimensional galvanometer laser scanning system is asymptotically stable,and the convergence of the system is better.更多还原