BASS–GURA FORMULA FOR LINEAR SYSTEM WITH DYNAMIC OUTPUT FEEDBACK

In this paper we solve the problem of assigning the desired characteristic polynomial of a linear stationary dynamic system with one input and output dynamic feedback in the form of a first-order dynamic compensator. Necessary and sufficient conditions for the existence of the solution of the problem are considered. An explicit formula for the compensator parameters, analogous to the Bass–Gura formula for a state feedback system, is derived.

Authors

Publication Details

Journal
Дифференциальные уравнения / Differential Equations
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034503025010104
Primary Topic
Control Systems and Identification
Type
article
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article

BASS–GURA FORMULA FOR LINEAR SYSTEM WITH DYNAMIC OUTPUT FEEDBACK

E. A. Perepelkin
Дифференциальные уравнения / Differential Equations
Control Systems and Identification
article

BASS–GURA FORMULA FOR LINEAR SYSTEM WITH DYNAMIC OUTPUT FEEDBACK

E. A. Perepelkin
article en

Abstract

In this paper we solve the problem of assigning the desired characteristic polynomial of a linear stationary dynamic system with one input and output dynamic feedback in the form of a first-order dynamic compensator. Necessary and sufficient conditions for the existence of the solution of the problem are considered. An explicit formula for the compensator parameters, analogous to the Bass–Gura formula for a state feedback system, is derived.

Дифференциальные уравнения / Differential EquationsVol. 61(1)
Openalex Percentile: Top 66%
Control Systems and Identification
DOISourceOpenAlex
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BASS–GURA FORMULA FOR LINEAR SYSTEM WITH DYNAMIC OUTPUT FEEDBACK — E. A. Perepelkin · Дифференциальные уравнения / Differential Equations (2025) | TGRS Research Map | TGRS