Replacement of Kalman filter with a finite impulse response filter to stabilize the system

Abstract

A method for stabilizing a system by estimating the error state vector by the method of least squares in a finite time interval is proposed. In the case of poor conditionality or incomplete rank of the information matrix, the Tikhonov regularization makes it possible to estimate the state vector. The choice of the value of the regularization parameter and the length of the time interval for estimating the state vector is determined by the stability condition of the closed system and the hardware capabilities of the system calculator. The work of the proposed method is demonstrated by the example of stabilization of a three-component SINS.