Investigation of Nonlinear Multi-connected Systems of Automatic Control with Delay

DOI

10.2991/csit-19.2019.50How to use a DOI?

Keywords

multi-connected systems of automatic control, delay, nonlinear element, periodic motion, frequency method, stability.

Abstract

The problem of controlling objects with time delay is quite complicated. The presence of a delay in the control loop leads to an increase in the phase shift, which can provoke instability of the system. The paper proposes a study of a nonlinear multi-connected system of automatic control (MSAC) of an object with a delay by frequency methods, based on the method of harmonic linearization and a system description of the characteristics of a multi-connected automatic control system. A nonlinear multi-connected automatic control system with delay in direct channels and cross-channels is considered. The nonlinear multi-connected automatic control system with delay consists of a set of identical separate subsystems and mutual connections between subsystems are single. With the help of frequency methods, the parameters of periodic motions (PM) in nonlinear homogeneous multi-connected automatic control systems with delay (amplitude and frequency of self-oscillations) are determined and their stability is estimated according to the proposed criteria. The paper presents examples that demonstrate the use of the proposed techniques to assess the stability of a nonlinear multi-connected system of automatic control of the object with delay both in direct communication channels and cross and finding the parameters (amplitude and frequency) of periodic movements. The results of the study were confirmed by simulation using MATLAB SIMULINK package.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Baryi Ilyasov
AU  - Guzel Saitova
AU  - Anastasia Elizarova
PY  - 2019/12
DA  - 2019/12
TI  - Investigation of Nonlinear Multi-connected Systems of Automatic Control with Delay
BT  - Proceedings of the 21st International Workshop on Computer Science and Information Technologies (CSIT 2019)
PB  - Atlantis Press
SP  - 285
EP  - 290
SN  - 2589-4900
UR  - https://doi.org/10.2991/csit-19.2019.50
DO  - 10.2991/csit-19.2019.50
ID  - Ilyasov2019/12
ER  -