| 1. | Gimbal lock is a phenomenon that easily affects euler angle representations
万向节锁是一种容易影响到欧拉角表现的现象。 |
| 2. | Discussion on the way of space right - angle coordinate transform of the big euler angle
大欧拉角的空间直角坐标转换方法探讨 |
| 3. | The differential equations of equilibrium of the constrained rod are established taking euler angles as variables to describe the attitude of the cross section
以描述截面姿态的欧拉角为变量，建立受约束弹性杆的平衡方程。 |
| 4. | At the end of the chapter , the output of hrg is used in the simulation . the result indicates that the eular angle error is lower after flp filtering if proper step size is chosen
本文还把半球谐振陀螺实际数据引入该算法的仿真,仿真的结果表明,选择合适的阶数可以使flp滤波后的欧拉角误差小于滤波前。 |
| 5. | 2 . the updating algorithm of strapdown matrix is one of the crucial techniques of sins . there are several kinds of attitude updating algorithms of sins , such as direction cosine algorithm and quaternion algorithm
捷联矩阵更新算法是捷联系统的关键技术之一，捷联惯导系统姿态算法有欧拉角法、方向余弦法、四元数法和圆锥补偿算法等几种方法。 |
| 6. | The method is used to study the singularity distributions for different orientations of the mobile in a oblique plane . by parallel translation of the oblique plane , the singularity distributions are derived in three - dimensional space
用这种方法分析了各种欧拉角( )姿态下在一斜平面上的奇异分布情况，通过斜平面的平行移动，可以得到机构在三维空间中的奇异分布。 |
| 7. | Sets up three - dimensional movement modal of towed - cable , the vector dynamic equilibrium equation is expanded under local coordinate , and numerically discreted by central difference on time and space through transforming eular angle
摘要建立拖缆的三维运动模型，通过欧拉角的变换把拖曳线列阵微元段矢量动力平衡方程在局部坐标系下展开，在时间和空间上作中心差分数值离散。 |
| 8. | Besides , geometry constrains are added to solve the inverse kinematics problems , which results reliable and faster algorithms avoiding singularity problems . ( 2 ) a method of seamless transition of different motions is provided that integrates motion blending and inverse kinematics techniques
在求解逆运动学问题中，通过合理增加控制中的几何约束条件简化了求解过程，从而有效避免了欧拉角描述运动可能产生的奇异性问题，保证了解的有效性。 |
| 9. | Formulas are given for changing from any kind of parameters to the other three kinds of parameters . the model for attitude stabilization is established using quaternion or rodrigues parameters , and the model for attitude tracking is established using error quaternion or error rodrigues parameters . ( 2 ) attitude stabilization and attitude tracking are then studied
本文的主要工作和贡献有以下几点： ( 1 )系统地研究了刚体姿态的参数化描述方法，给出了描述刚体姿态的姿态矩阵、欧拉角、四元数和rodrigues参数的相互转换关系，建立了基于四元数和rodrigues参数的刚体姿态调节控制模型，和基于误差四元数和误差rodrigues参数的刚体姿态跟踪控制模型。 |
