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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17431571 |
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Table of Contents:
- <p><span>This paper proposes a heuristic optimization algorithm based on the dynamics and balance characteristics of a unicycle. This algorithm simulates the unicyclist's behavior in maintaining dynamic balance, adjusting lean angle, controlling speed, and fine-tuning the center of gravity during movement, thereby mapping the optimization problem into a dynamic balance system. The algorithm considers each candidate solution as the state of the unicycle system and utilizes a lean-angle-driven perturbation mechanism, a center of gravity adaptive balance mechanism, an inertial step-length adjustment mechanism, and a fall recovery mechanism to form a complete optimization update formula. This paper systematically deduces the mathematical principles of the algorithm and provides detailed formulas, demonstrating the specific application of the unicycle's characteristics to the optimization problem. This method has potential applications in both continuous and discrete optimization problems and provides a physically interpretable mathematical modeling framework.</span></p>