Geodesic
On the identification of control failures by the dynamic regularization method
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 30 (2024) no. 2, pp. 116-129 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of calculating points and magnitudes of discontinuities in the controls acting on a system described by a nonlinear vector ordinary differential equation is considered. A similar problem is well known in systems theory and belongs to the class of failure identification problems. This paper specifies a regularizing algorithm that 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 interference and calculation errors.
Keywords: control, failure identification. 
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V. I. Maksimov; Yu. S. Osipov. On the identification of control failures by the dynamic regularization method. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 30 (2024) no. 2, pp. 116-129. http://geodesic.mathdoc.fr/item/TIMM_2024_30_2_a7/

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