基于重叠因子优化的超流体陀螺量程扩展设计

针对热驱动型双弱连接超流体陀螺的幅值-角速度单值求解区间因工作曲线呈周期性而制约超流体陀螺量程的突出问题，提出了一种基于重叠因子优化的超流体陀螺量程扩展方法。首先在明晰陀螺量程受限机理的基础上，设计了幅值锁定量程扩展方案。其次分析了热相位与温升延时的关系，引入重叠因子的概念，提出了一种基于重叠因子的遗传优化方法来实现幅值锁定参数优化:通过间接编码三角形隶属函数左半宽度，在避免出现相邻隶属函数无重叠或重叠太多的前提下，对模糊线性隶属函数进行遗传优化，寻找幅值锁定系统最优参数。通过与传统比例（P）控制下幅值锁定的仿真对比表明，该方法能够使超流体陀螺的薄膜幅值快速且稳定地锁定在期望值，在保证测量精度的同时提高了陀螺系统的量程范围。 

Range extension design on superfluid gyroscope based on overlap factor optimization

Aimed at the limited range caused by single value interval of amplitude-angular velocity of heat driven double weak link superfluid gyroscope whose working curve is periodic, a superfluid gyroscope range extension method based on overlap factor optimization is proposed. First, on the basis of range limiting mechanism of gyroscope, the amplitude-locking range extension scheme is designed. Second, considering the relationship between hot phase and heating delay, with the concept of overlap factor, a genetic optimization method based on overlap factor is proposed to optimize the gyroscope amplitude-locking control parameter. Through indirect coding the left width of triangle membership function, the fuzzy linear membership function is optimized to find the best parameters of amplitude-locking system under the premise of avoiding adjacent membership function with no overlap or too much overlap. Finally, comparison results between this method and traditional P method show that the film amplitude of superfluid gyroscope can be locked to the expectations quickly and stably by this method, which extend the range of the superfluid gyroscope with measurement accuracy guaranteed.