Modeling a neural observer for the problem of stabilizing a switchable system with modes of different order

Recieved: 03/27/2026

Accepted: 05/19/2026

Keywords: switched systems, observer, variable structure controller, neural network, modes of different dynamic orders, discrete system

Available in the on-line version with: 15.09.2026

To cite this article

Krylov P.A., Fursov A.S., Dementeva (Mosolova) Yu.M., Dementev F.A. Modeling a neural observer for the problem of stabilizing a switchable system with modes of different order. // Moscow University Journal. Series 15. Computational Mathematics and Cybernetics. 2026. N 3, p.52-65 https://doi.org/10.55959/MSU/0137–0782–15–2026–50–3–52–65.

This work is licensed under a Сreative Commons Atribiution - NonCommercial 4.0 International (CC BY-NC 4.0)

Krylov P.A. (Lomonosov Moscow State University (MSU))
Fursov A.S. (Lomonosov Moscow State University (MSU))
Dementeva (Mosolova) Yu.M. (Lomonosov Moscow State University (MSU))
Dementev F.A. (Lomonosov Moscow State University (MSU))

Abstract

A detailed description of the implementation of an algorithm for constructing a variable-structure stabilizing controller for a switched linear discrete system whose operating modes can have different dynamic orders is presented. A neural network is proposed as an observer of the closed-loop system's active modes. Simulation results of the constructed stabilization system are presented.