Hardware Implementation of FPIC Controllers for Discrete-Time Chaotic Systems Using LabVIEW-FPGA

Authors

  • Heiner Castro Purdue University
  • Carlos Robles University of Magdalena image/svg+xml
  • John Taborda

DOI:

https://doi.org/10.15665/rp.v23i2.3767

Keywords:

sistemas caóticos, control FPIC, LabVIEW, FPGA, diagramas de bifurcación, mapas discretos no lineales

Abstract

This paper presents the hardware implementation of control algorithms based on the Fixed-Point Inducting Control (FPIC) technique applied to chaotic systems. Three discrete-time chaotic maps—Logistic, Fold, and Flip—were analyzed in both coupled and uncoupled configurations. For each system, equilibrium points were analytically determined. The control strategy was implemented using LabVIEW-FPGA to generate and stabilize chaotic behaviors in real time, and the results were validated against Matlab simulations. Bifurcation diagrams were obtained to identify parameter regions leading to chaotic or stable behaviors. All systems were implemented using 16-bit fixed-point arithmetic, demonstrating the feasibility of FPGA-based realization of FPIC-controlled chaotic systems. The proposed prototyping setup provides a valuable platform for rapid testing of chaos-based control strategies and their potential applications in secure communications and nonlinear systems.

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Published

2025-08-22

Issue

Vol. 23 No. 2 (2025): Julio - Diciembre

Section

Articles

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Copyright (c) 2025 Heiner Castro, Carlos Robles, John Taborda

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