| Issue |
MATEC Web Conf.
Volume 161, 2018
13th International Scientific-Technical Conference on Electromechanics and Robotics “Zavalishin’s Readings” - 2018
|
|
|---|---|---|
| Article Number | 02004 | |
| Number of page(s) | 5 | |
| Section | Electromechanics and Electric Power Engineering | |
| DOI | https://doi.org/10.1051/matecconf/201816102004 | |
| Published online | 18 April 2018 | |
Stability of digital feedback control systems
Federal State Budget Institution of higher Education “Tula State University”, Lenina av., 92, Tula, Russia
* Corresponding author: elarkin@mail.ru
Specific problems arising, when Von Neumann type computer is used as feedback element, are considered. It is shown, that due to specifics of operation this element introduce pure lag into control loop, and lag time depends on complexity of algorithm of control. Method of evaluation of runtime between reading data from sensors of object under control and write out data to actuator based on the theory of semi- Markov process is proposed. Formulae for time characteristics estimation are obtained.
Lag time characteristics are used for investigation of stability of linear systems. Digital PID controller is divided onto linear part, which is realized with a soft and pure lag unit, which is realized with both hardware and software. With use notions amplitude and phase margins, condition for stability of system functioning are obtained. Theoretical results are confirm with computer experiment carried out on the third-order system.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.