基于希尔伯特变换的两栖车辆非线性横摇运动模型辨识研究  

Identification for the Nonlinear Roll Motion Model of Amphibious Vehicle Using Hilbert Transform

作　　者：马新谋[1] 郝一凝 常列珍[2] 潘玉田[1] 

机构地区：[1]中北大学机电工程学院,山西太原030051 [2]中北大学理学院,山西太原030051

出　　处：《中北大学学报（自然科学版）》2016年第4期361-367,共7页Journal of North University of China(Natural Science Edition)

基　　金：中北大学科学基金;国防预研课题资助

摘　　要：为了识别两栖车辆非线性横摇运动方程,首先采用希尔伯特变换法把自由横摇衰减信号变换成解析信号,该解析信号包含了自由横摇运动的瞬时幅值信息和瞬时频率信息,并给出了两栖车辆非线性横摇运动方程阻尼函数和恢复函数与瞬时幅值和频率的关系式,最后由最小二乘法拟合拟合即可获得两栖车辆非线性横摇运动方程的非线性阻尼项和恢复项系数.应用所提出的方法针对数值仿真实例和某两栖车辆1∶4模型自由横摇衰减实验数据,成功地估计出了非线性参数,估计值与真值及实验值吻合很好.估计结果表明所提出的方法可以用于估计两栖车辆非线性横摇运动方程,而且精度满足工程需求.To identify the coefficients of nonlinear roll motion modelling of amphibious vehicle,the Hilbert Transform（HT）method is applied for a free roll decay signal in time domain to obtain an analytical signal.The analytical signal provides information on the instantaneous amplitude and instantaneous frequency.Then,the relationship between the instantaneous amplitude/frequency and the nonlinear parameters can be derived.Least square method is used to estimate unknown parameters of nonlinear roll motion of amphibious vehicle.The present method is applied to a numerical experiment data and then to real free roll decay data obtained from a 1∶4scale model of an amphibious vehicle to identify nonlinear parameters.The obtained nonlinear damping coefficients and nonlinear restoring coefficients are good agreement with the true value and tested data.So,the present method can be used to identify nonlinear roll motion equation of amphibious vehicle with enough accuracy.

关 键 词：希尔伯特变换法 两栖车辆 非线性横摇运动 包络线 瞬时频率 

分 类 号：TJ811.6[兵器科学与技术—武器系统与运用工程]