On the Identification of Control Failures by the Dynamic Regularization Method

The problem of calculating points and magnitudes of discontinuities in the controls acting on a systemdescribed by a nonlinear vector ordinary differential equation is considered. A similar problem is well known insystems theory and belongs to the class of failure identification problems. This paper specifies a regularizing algorithmthat solves the problem synchronously with the process of functioning of the control system.The algorithm is based on a feedback control method called the dynamic regularization method in the literature;this method was previously actively used in problems of online reconstruction of nonsmooth unknown disturbances.The algorithm described in this work is stable to information noises and computational errors.