Algorithms for Modules Implementing Amplitude Impulse Modulation
https://doi.org/10.21822/2073-6185-2025-52-3-29-37
Abstract
Objective. The aim of the study is to develop algorithms and approaches for effective synthesis of controllers in automated control systems (ACS) that utilize amplitude impulse modulation (AIM), as well as address the shortcomings of classical synthesis methods caused by the lack of a unified methodology for designing systems with nonlinear characteristics.
Method. The research relies on the generalized Galerkin method and polynomial approximation techniques to create mathematical models of different types of impulse modulators, including ideal impulse elements (IIEs), first-order amplitude-impulse modulators (AIM-I), and second-order amplitude-impulse modulators (AIM-II). These models allow for more accurate representation of real-world conditions in ACS operation and minimize the impact of traditional synthesis limitations in control theory.
Result. Algorithms have been developed for converting continuous signals into discrete forms that demonstrate high conformity with expectations and required technical specifications.
Conclusion. The proposed approach has been validated through computer simulations, confirming its effectiveness, and simulation results are presented.
Keywords
impulse systems,
algorithm,
amplitude impulse modulator,
generalized Galerkin method,
polynomial approximation
Supporting agencies: This work was supported by the Ministry of Science and Higher Education of the Russian Federation, agreement No. FSRF-2023-0003, "Fundamental Principles of Constructing Interference-Proof Systems for Space and Satellite Communications, Relative Navigation, Machine Vision, and Aerospace Monitoring."
About the Authors
N. L. Grechkin
Saint-Petersburg State University of Aerospace Instrumentation
Russian Federation
Russian Federation
Nikita L. Grechkin - Senior lecturer, Department Control in Technical System».
67 Bolshaya Morskaia Str., Saint-Petersburg 190000
E. Yu. Vataeva
Saint-Petersburg State University of Aerospace Instrumentation
Russian Federation
Russian Federation
Elizaveta Yu.Vataeva - Cand.Sci.(Eng.), Assoc. Prof., Department Control in Technical Systems.
67 Bolshaya Morskaia Str., Saint-Petersburg 190000
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Review
For citations:
Grechkin N.L., Vataeva E.Yu. Algorithms for Modules Implementing Amplitude Impulse Modulation. Herald of Dagestan State Technical University. Technical Sciences. 2025;52(3):29-37. (In Russ.) https://doi.org/10.21822/2073-6185-2025-52-3-29-37
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