Design of Linear Absorbing Feedback
- Authors: Leonov G.A.1, Seledzhi S.M.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 57, No 1 (2018)
- Pages: 1-6
- Section: Systems Theory and General Control Theory
- URL: https://journals.rcsi.science/1064-2307/article/view/220045
- DOI: https://doi.org/10.1134/S1064230718010057
- ID: 220045
Cite item
Abstract
This paper considers dynamic vibration absorbers using the theory of linear control. We introduce an axiomatic definition of absorbing feedback. Next, we establish frequency domain stability criteria for the control systems with absorbing feedback by constructing a Lyapunov function and employing the Kalman–Yacubovich–Popov lemma. Finally, we demonstrate that linear absorbing feedback can be applied to suppress the vibrations of an ellastic plate with synchronous machines and induction motors and also to design ultranarrow bandpass filters.
About the authors
G. A. Leonov
St. Petersburg State University
Author for correspondence.
Email: leonov@math.spbu.ru
Russian Federation, St. Petersburg
S. M. Seledzhi
St. Petersburg State University
Email: leonov@math.spbu.ru
Russian Federation, St. Petersburg