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Paper details
Number 2 - June 2021
Volume 31 - 2021
On a stable solution of the problem of disturbance reduction
Vyacheslav I. Maksimov
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.
Keywords
disturbance reduction, dynamical controlled system, guaranteed control theory