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Research on fractional-order memory system signals based on Loop-By-Loop Progressive Iterative Method.
Li Xu1, Chuan Huang1, Guo Huang2
1School of Electronic Information and Artificial Intelligence, Leshan Normal University, Leshan, China.
Scientific Reports
|October 18, 2024
Summary
A new Loop-By-Loop Progressive Iterative Method (LPIM) accurately analyzes fractional-order circuits. This novel approach was validated on fractance circuits and applied to Flux-Controlled Fractional-Order Memory Systems, revealing new insights into their behavior.
Area of Science:
- Electrical Engineering
- Nonlinear Dynamics
- Circuit Theory
Background:
- Traditional methods for analyzing fractional-order circuits can be complex.
- Fractional-order circuits exhibit unique behaviors not captured by integer-order models.
- Novel analytical techniques are needed to fully understand these systems.
Purpose of the Study:
- Introduce and validate the Loop-By-Loop Progressive Iterative Method (LPIM) for fractional-order circuit analysis.
- Apply LPIM to a novel Flux-Controlled Fractional-Order Memory Systems (FFMS) model.
- Predict common output characteristics of Fractional-Order Memory Systems (FMS).
Main Methods:
- Developed the Loop-By-Loop Progressive Iterative Method (LPIM).
- Applied LPIM and Laplace transform to analyze a fractance circuit.
- Constructed a new Fractional-Order Memory Systems (FMS) model.
- Simulated the FFMS using LPIM with a sinusoidal excitation signal.
Main Results:
- LPIM results for fractance circuits were consistent with Laplace transform and existing theories.
- The output signal of the FFMS exhibited two intersection points under sinusoidal excitation.
- The FFMS output signal was modulated by the excitation signal's frequency.
Conclusions:
- LPIM is a valid and effective method for analyzing fractional-order circuits.
- The study provides the first simulation and analysis of FFMS output signals.
- Predicted common output behaviors for FMS based on simulation results and theory.
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