This article is cited in 1 paper

Linear Systems

Attracting cylinder method: solution of the general linear tracking problem

A. A. Peregudin<sup>ab

a</sup> ITMO University, St. Petersburg, 197101 Russia
^b Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178 Russia

Abstract: We present an attracting cylinder method, which is a generalization of the invariant ellipsoid method to the cases of tracking and observation problems. Based on the method developed, we propose an algorithm for calculating the parameters of a controller ensuring the boundedness of the tracking or observation error in the presence of bounded exogenous disturbances. The efficiency of the approach proposed is demonstrated with examples.

Keywords: tracking problem, observation problem, disturbance rejection.


Received: 02.04.2020
Revised: 15.07.2020
Accepted: 10.09.2020

DOI: 10.31857/S0005231021020033

 English version: Automation and Remote Control, 2021, 82:2, 216–231

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