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中文摘要：
为了提高摆式陀螺寻北仪的限幅效率,提出了一种改进的步进迭代法。首先,在建立陀螺灵敏部运动方程和分析传统步进迭代法的实现原理的基础上,根据初始下放角速度的大小提出不同的步进迭代策略;然后详细推导了改进的步进迭代法的实现原理;最后通过数值仿真验证了改进的步进迭代法的可行性。数值仿真算例表明：当初始下放角速度在一定范围内时,改进的步进迭代法相对于传统的步进迭代法限幅效率更高。改进的步进迭代法保留了传统步进法不需要增加系统硬件的优点,回避了电磁阻尼法的电磁干扰力矩的问题,保证了限幅的可靠性,为缩短寻北时间提供理论参考。
英文摘要：
To improve the amplitude limiting efficiency of pendulous gyroscope north-seeker, an improved stepping iterative method is developed. Firstly, based on the introduction of motion equation for the sensitive part as well as the analysis of traditional stepping iterative method, different stepping iterative strategies are put forward according to the initial angular velocity when the sensitive part is put down. Then, the implementation principle of improved stepping iterative method is deduced in details. The feasibility of the proposed method is verified by numerical simulation. The numerical simulation examples show that when the initial angular velocity for putting down the sensitive part is within a certain range, the improved stepping iterative method has a higher limiting efficiency than the traditional one. The improved stepping iterative method can avoid the electromagnetic interference torque problem of the electromagnetic damping method while keeping the traditional stepping method＇s advantages, and ensure the limiting reliability, thus providing a theoretical reference for shortening the north-seeking time.
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