广义逆在嵌入式大气数据传感系统中的应用

Application of pseudoinverse matrix in flush airdata sensing system

应用广义逆矩阵对嵌入式大气数据传感系统中的算法进行简化,提出了以Moore-Penrose广义逆矩阵为基础的动压、静压和修正参数的改进算法,并对其进行了收敛性分析,最后,应用M atlab软件进行了数字计算验证。计算结果表明:改进算法具有确定的收敛性,由于避免了迭代过程中求解逆矩阵,达到同样的精度所需要的计算时间只相当于原有算法的70%,改进算法可以满足系统的精度、可靠性和实时性要求。

The application of pseudoinverse matrix in the simplified algorithm of flush airdata sensing （FADS） system is studied,an improved algorithm based on Moore-Penrose pseudoinverse matrix is presented for calculating the dynamic pressure, static pressure and calibration parameter, and its convergence is analyzed. The numerical validation of the algorithm is given by using Matlab. The results of the validation show that the improved algorithm is definitely convergent. It doesnt include the calculation of inverse matrix during the iteration,it takes only 70 % time to reach the same precision comparing to the original algorithm. The improved algorithm can meet the requirements of the system in precision,reliability and real-time.