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  4. 2024
  5. VOL 46, NO 6 (2024)
  6. pp. 64-71

IMPLEMENTATION OF NON-INTEGER TECHNICAL SYSTEMS USING PROGRAMMABLE LOGIC

O.V. Vasiliev, V.V. Vasiliev, V.V. Choch, S.Ya. Hilgurt

Èlektron. model. 2024, 46(6):64-71

https://doi.org/10.15407/emodel.46.06.064

ABSTRACT

Digital devices capable of performing computations of non-integer (fractional) order, i.e., performing operations of differentiation and integration of non-integer multiplicity, can be used to solve many applied technical problems, such as sampling and low-pass filtering of signals, information compression, dynamic encryption, separation of a useful signal from the background of interference, identification of parameters of dynamic systems, etc. The issues of hardware implementation of the Grünwald—Letnikov method as a unified solution for the construction of digital differentiators and integrators of non-integer order based on programmable logic integrated circuits (FPGAs) are considered. The use of modern programmable logic products makes it possible to develop high-performance and flexible control devices with enhanced functionality and reduced power consumption, which can be effectively used to build mobile and unmanned systems.

KEYWORDS

Fractional-order system, Grünwald—Letnikov operator, FPGA.

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