| 最小二乘原理多项式拟合激光陀螺数学模型的方法研究 |
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| 引用本文： | 杨恒,Frank.Bosselman,陈明,秦水元,王建培.最小二乘原理多项式拟合激光陀螺数学模型的方法研究[J].应用激光,1998(6). |
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| 作者姓名： | 杨恒 Frank.Bosselman 陈明 秦水元 王建培 |
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| 作者单位： | 西北工业大学自动控制系!西安，710072，德国布伦瑞克工业大学导航与控制研究所，西北工业大学自动控制系!西安，710072，西北工业大学自动控制系!西安，710072，西北工业大学自动控制系!西安，710072 |
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| 摘 要： | 在分析激光陀螺的数学模型和最小二乘法原理的基础上，针对某型低精度激光陀螺实际输入—输出特性曲线的数据，应用最小二乘原理的多项式拟合方法对数据分析处理，推导出了适用于非线性工作范围误差补偿且符合实际陀螺特性的数学模型。本方法适用于工作区线性化较差、工作精度低的激光陀螺的精度补偿。
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| 关 键 词： | 最小二乘法原理 多项式拟合 激光陀螺 数学模型 |
A Study on The Model of Ring Laser as a Angular Velocity Sensor (Laser Gyroscope) with a Method of Least Squares |
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| Yang Heng, Frank. Bosselman, Chen Ming, Qin Yongyuan, Wang Jianpei.A Study on The Model of Ring Laser as a Angular Velocity Sensor (Laser Gyroscope) with a Method of Least Squares[J].Applied Laser,1998(6). |
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| Authors: | Yang Heng Frank Bosselman Chen Ming Qin Yongyuan Wang Jianpei |
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| Abstract: | Laser Gyros (RLG) have been applied in different navigation system widely due to it's high accuracy and higy performance, To reduce some nonlinear work period's effect on the measurement result, this paper present a method to calculate the model of RLG by a polynomial method of least-squares.The experiment showed that the method could deduce a mathematies model of RLG which could be used to compensate the error of nonlinear error and got a high accuracy of measurement. |
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| Keywords: | The Least-squares Principle Laser Gyros Polynomial Fits Mathematies Model of Laser Gyro Model Rank |
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