V.I. Maksimov, Yu.S. Osipov. On the identification of control failures by the dynamic regularization method ... P. 116-129

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

Received March 5, 2024

Revised March 14, 2024

Accepted March 14, 2024

Funding Agency: The work of the first author was performed as a part of the research conducted in the Ural Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-02-2024-1377).

Vyacheslav Ivanovich Maksimov, Dr. Phys.-Math. Sci., Prof., Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620108 Russia, e-mail: maksimov@imm.uran.ru

Yury Sergeyevich Osipov, Dr. Phys.-Math. Sci., Prof., RAS Academician, Steklov Mathematical Institute of RAS, Lomonosov Moscow State University, Moscow 119991, Russia, e-mail: yriyosipov@hotmail.com

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Cite this article as: V.I. Maksimov, Yu.S. Osipov. On the identification of control failures by the dynamic regularization method. Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2024, vol. 30, no. 2, pp. 116–129.