Synthesis of the parameter identification algorithm for MEMS accelerometer models based on the sensitivity equation solution

The work is aimed at resolving the contradiction between the accuracy and computational complexity of parameter estimation algorithms. For this purpose a new algorithm for identifying the parameters of sensors has been synthesized, and the mathematical models of that sensors can be represented by the Lagrange equations of the second kind. This algorithm differs from the previously known algorithm in structure as a result of replacing the equation of the sensitivity function with its approximate solution obtained under the assumption that the identified parameter remains unchanged during the operation of the estimation procedure. This technique allows to reduce computational costs. Mathematical modeling showed that the obtained estimates of the time constant of the MEMS accelerometer on average lose by exactly 0.03% with practically the equal time of convergence to the actual value of the parameter in the selected time scale. The comparison was carried out using the variational identification algorithm.