Micro-mechanical gyro drift modeling based on GM(1,1) of reconstruction of background value

After analyzing the essence of the traditional GM(1,1) model, background value was identified as key factor for precision and adaptability of GM(1,1) model, and a novel method was proposed to improve GM(1,1) model. Taking into calculation quantity and error, quadratic curve fitting was adopted to solve the unknown value, and Simpson integral formula was used to replace trapezoidal numerical integration method for reduce error. Based on temperature experiment data of micro-mechanical gyro, adopting the improved GM(1,1) model carried on building up a model, compared with traditional GM(1,1) model, it improved model accuracy. Further indicate model veracity and practice through error test, posteriori test and interrelated degree test.