强激光与粒子束, 2011, 23 (12): 3431, 网络出版: 2012-01-04
电磁脉冲测试系统的非线性辨识建模与性能补偿
Nonlinear identification modeling and compensating of electromagnetic pulse measurement system
电磁脉冲 系统辨识 连续域 准阶跃信号 Hammerstein模型 动态补偿 electromagnetic pulse system identification continuous-domain step-like signal Hammerstein model dynamic compensation
摘要
给出了准阶跃信号激励下电磁脉冲测试系统非线性模型参数在连续域的直接辨识算法。结合实际研制的光纤传输式脉冲电压测试系统及其时域动态校准数据,建立了由4阶多项式非线性环节和3阶传递函数线性环节组成的测试系统Hammerstein模型,实测结果验证了辨识模型的准确性。在此基础上,构建了由动态线性补偿滤波器和静态非线性校正器组成的补偿环节,将测试系统的下限截止频率由数十kHz拓展至直流,稳态响应时间由μs级降至ns级,有效改善了系统的动态性能,实测脉冲波形的重建结果验证了补偿环节设计的有效性。
Abstract
A method of Hammerstein model direct identification under step-like signal excitation is proposed to build a nonlinear model of the pulse voltage measurement system in continuous domain. With the dynamic calibration data in time-domain, the system’s Hammerstein model with a four-order polynomial nonlinear element and a three-order linear element in continuous domain is established. The measured results verify the validity of the model. Then a compensation element to improve the sensor’s dynamic performance is designed, which includes a dynamic linear compensator and a static nonlinear corrector. After compensation, the lower cut-off frequency of the system widens from dozens of kHz to DC, and the response time of the system shortens form μs level to ns level. The feasibility of the compensation design is also verified by the reconstruction result of measured pulse.
刘卫东, 刘尚合, 毕军建, 胡小锋. 电磁脉冲测试系统的非线性辨识建模与性能补偿[J]. 强激光与粒子束, 2011, 23(12): 3431. Liu Weidong, Liu Shanghe, Bi Junjian, Hu Xiaofeng. Nonlinear identification modeling and compensating of electromagnetic pulse measurement system[J]. High Power Laser and Particle Beams, 2011, 23(12): 3431.