A Method to Provide Conditions for Sustained Excitation

Abstract

For the linear regression model, the problem of relaxing conditions for sustained excitation in the problems of estimation of the unknown constant parameters of the model was discussed. An approach was suggested enabling one to form from a damped regressor a new signal for which the conditions of sustained excitation are satisfied. The cases of one and two unknown parameters giving one an insight into the root idea of the proposed approach were analyzed in detail. Operability of the algorithms considered in the paper was illustrated by computer-aided modeling.