<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>We study the problem of active reduction of the influence of a disturbance on the output of a linear control system. We consider a system of linear differential equations under the action of an unknown disturbance and a control to be formed. Our goal is to design an algorithm for reducing the disturbance by means of an appropriate control on the basis of inaccurate measurements of the system phase coordinates. This algorithm should form a feedback control that would guarantee that the trajectory of a given system tracks the trajectory of the reference system, i.e., the system described by the same differential equations but with zero control and disturbance. We present an algorithm for solving this problem. The algorithm, based on the constructions of guaranteed control theory, is stable with respect to informational noises and computational errors.</p>
</abstract>

We study the problem of active reduction of the influence of a disturbance on the output of a linear control system. We consider a system of linear differential equations under the action of an unknown disturbance and a control to be formed. Our goal is to design an algorithm for reducing the disturbance by means of an appropriate control on the basis of inaccurate measurements of the system phase coordinates. This algorithm should form a feedback control that would guarantee that the trajectory of a given system tracks the trajectory of the reference system, i.e., the system described by the same differential equations but with zero control and disturbance. We present an algorithm for solving this problem. The algorithm, based on the constructions of guaranteed control theory, is stable with respect to informational noises and computational errors.

On a stable solution of the problem of disturbance reduction

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On a stable solution of the problem of disturbance reduction"}

We study the problem of active reduction of the influence of a disturbance on the output of a linear control system. We consider a system of linear...

On a stable solution of the problem of disturbance reduction

Published Online: Jul 08, 2021

Page range: 187 - 194

Received: Jan 24, 2021

Accepted: Apr 21, 2021

DOI: https://doi.org/10.34768/amcs-2021-0013

Keywords
disturbance reduction, dynamical controlled system, guaranteed control theory

© 2021 Vyacheslav I. Maksimov, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On a stable solution of the problem of disturbance reduction

Published Online: Jul 08, 2021

Page range: 187 - 194

Received: Jan 24, 2021

Accepted: Apr 21, 2021

DOI: https://doi.org/10.34768/amcs-2021-0013

Keywordsdisturbance reduction, dynamical controlled system, guaranteed control theory

© 2021 Vyacheslav I. Maksimov, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
disturbance reduction, dynamical controlled system, guaranteed control theory