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Journal Information-measuring and Control Systems №1-2 for 2022 г.
Article in number:
Synthesis of nonlinear systems under the influence of limited perturbations using multi-mode control laws based on the maximum condition of the function generalized power
Type of article: scientific article
DOI: 10.18127/j20700814-202201-04
UDC: 62-50
Keywords: Control system nonlinear system decomposition principle generalized power maximum function nonlinear correction re-verse pendulum
Authors:

A.A. Kostoglotov1, A.A. Agapov2, Z.V. Lyaschenko3, S.V. Lazarenko4

1 - 4 Rostov State Transport University (Rostov-on-Don, Russia)

Abstract:

The problem of synthesis of control of an unstable nonlinear dynamic system in the presence of external forces is considered. The presence of a significant dynamic interaction between the degrees of freedom, unknown external influences and disturbing factors complicates the solution of the problem of optimal synthesis. The efficiency of application of the structure of the developed quasi-optimal multi-mode laws as an element of nonlinear correction of Chernousko, Ananevsky and Formalsky.

Purpose. Increasing the efficiency of control laws for nonlinear dynamic systems.

Results. The law synthesized on the basis of the condition for the maximum of the generalized power function makes it possible to increase the efficiency of control of a nonlinear object under conditions of high intensity of disturbances in comparison with the known nonlinear control laws obtained on the basis of decomposition and linear control laws with saturation obtained on the basis of maximizing the area attraction with a linearized model.

Pages: 37-47
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Date of receipt: 04.12.2021
Approved after review: 24.12.2021
Accepted for publication: 21.02.2022