航空发动机FADEC系统软件浮点数计算精度分析
|
摘要
航空发动机FADEC系统控制软件的计算精度和运行效率是一对不可缺少的特性。为提高航空发动机FADEC系统控制软件的浮点计算的计算精度和运行效率,从IEEE 754浮点数格式、浮点数的表示形式、浮点数四则运算的精度方面展开分析,并结合FADEC系统控制软件项目实际应用案例的数据结果,验证了精度分析结果的正确性,并以此为基础针对FADEC系统控制软件的浮点算法设计提出了设计准则,有助于提高控制软件的可靠性和安全性,可推广至其他行业的控制领域应用。
The calculation precision and operation efficiency of aero-engine FADEC system control software are a pair of indispensable features. To improve the computing accuracy and operating efficiency, the aero-engine FADEC software design has been evolved from fixed-point arithmetic to floating-point arithmetic. The error and accuracy of IEEE 754 floating-point number representation are analyzed. Some engineering project cases show the correctness of the analysis. Based on the analysis, some criteria of floating-point algorithm design have been proposed to improve the safety and reliability of FADEC software. Also the criterion can be generalized to other industrial control domain applications.
The calculation precision and operation efficiency of aero-engine FADEC system control software are a pair of indispensable features. To improve the computing accuracy and operating efficiency, the aero-engine FADEC software design has been evolved from fixed-point arithmetic to floating-point arithmetic. The error and accuracy of IEEE 754 floating-point number representation are analyzed. Some engineering project cases show the correctness of the analysis. Based on the analysis, some criteria of floating-point algorithm design have been proposed to improve the safety and reliability of FADEC software. Also the criterion can be generalized to other industrial control domain applications.
引文
[1]IEEE 754-1985,IEEE Standard for Floating-Point Arithmetic[S].1985.
[2]IEEE Std 754-2008,IEEE Standard for Floating-Point Arithmetic[S].2008.
[3]段彬,孙同景,李振华,等.快速浮、定点PID控制器FPGA的研究与实现[J].计算机工程与应用,2009,45(36):202-206.
[4]张陈玉,杜普选,闻跃,等.基于浮点DSP的轨道信号开发平台的研究[J].测控技术,2014,33(11):133-136.
[5]张宗杰,张明亮.C语言中浮点数的存储格式及其有效数字位数[J].计算机与数字工程,2006,34(1):84-86.
[6]许瑾晨,郭绍忠,黄永忠,等.浮点数学函数异常处理方法[J].软件学报,2015,26(12):3088-3103.
[7]范啸涛,季光明,何永斌.计算机浮点数算术运算的舍人误差研究[J].成都理工大学学报(自然科学版),2005,32(2):213-216.
[8]沈俊.浮点运算加速器的设计研究[D].杭州:浙江大学,2013.
[9]张慧玲.浮点数到整型数转换的正确性问题[J].计算机应用与软件,2011,28(1):161-162.
[10]尹培培.非精确浮点数乘法器设计[J].电子技术应用,2016,42(3):38-41.
[11]陈天超,冯百明.单精度浮点数累加和误差研究[J].计算机应用,2013,33(6):1531-1533.
[12]赵小勇,赵刚,杨恒辉.小型涡轴发动机数控系统硬件在回路仿真技术研究[J].测控技术,2012,31(7):46-49.
[13]张树彦,吕晓武,殷锴,等.FADEC硬件在回路测试系统设计[J].测控技术,2013,32(9):81-84.
[2]IEEE Std 754-2008,IEEE Standard for Floating-Point Arithmetic[S].2008.
[3]段彬,孙同景,李振华,等.快速浮、定点PID控制器FPGA的研究与实现[J].计算机工程与应用,2009,45(36):202-206.
[4]张陈玉,杜普选,闻跃,等.基于浮点DSP的轨道信号开发平台的研究[J].测控技术,2014,33(11):133-136.
[5]张宗杰,张明亮.C语言中浮点数的存储格式及其有效数字位数[J].计算机与数字工程,2006,34(1):84-86.
[6]许瑾晨,郭绍忠,黄永忠,等.浮点数学函数异常处理方法[J].软件学报,2015,26(12):3088-3103.
[7]范啸涛,季光明,何永斌.计算机浮点数算术运算的舍人误差研究[J].成都理工大学学报(自然科学版),2005,32(2):213-216.
[8]沈俊.浮点运算加速器的设计研究[D].杭州:浙江大学,2013.
[9]张慧玲.浮点数到整型数转换的正确性问题[J].计算机应用与软件,2011,28(1):161-162.
[10]尹培培.非精确浮点数乘法器设计[J].电子技术应用,2016,42(3):38-41.
[11]陈天超,冯百明.单精度浮点数累加和误差研究[J].计算机应用,2013,33(6):1531-1533.
[12]赵小勇,赵刚,杨恒辉.小型涡轴发动机数控系统硬件在回路仿真技术研究[J].测控技术,2012,31(7):46-49.
[13]张树彦,吕晓武,殷锴,等.FADEC硬件在回路测试系统设计[J].测控技术,2013,32(9):81-84.