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Lissajous curves as aerial search patterns.
J Josiah Steckenrider1, Mitchell Miller2, Rory Blankenship2
1Department of Civil and Mechanical Engineering, United States Military Academy, West Point, NY, USA. john.steckenrider@westpoint.edu.
Scientific Reports
|May 15, 2024
Summary
This study optimizes Lissajous patterns (LPs) for aerial search. Researchers found irrational frequency ratios near 0.8 yield the highest performance for deterministic search patterns.
Area of Science:
- Robotics
- Aerospace Engineering
- Search Theory
Background:
- Manned and unmanned systems are widely used in aerial search.
- Optimal deterministic search pattern generation is crucial for aircraft with fixed trajectories.
- Lissajous patterns (LPs) show promise for aerial search, but require fundamental research for optimal design.
Purpose of the Study:
- To examine the optimization of Lissajous patterns for aerial search applications.
- To establish the state-of-the-art in Lissajous curves for aerial search through analytical, numerical, and data-driven methods.
Main Methods:
- Analytical investigation of Lissajous pattern performance.
- Numerical optimization of search pattern parameters.
- Exploration of data-driven approaches for pattern optimization.
Main Results:
- Analytical approximation shows average searcher-target distance approaches 0.586 with increasing search time.
- An analytical approximation for average searcher speed guarantees error within 22.1%.
- Numerical optimization identified irrational frequency ratios near 0.8 as yielding highest performance and developed an intuitive evaluation criterion.
Conclusions:
- Lissajous patterns are effective for deterministic aerial search.
- Irrational frequency ratios near 0.8 are optimal for Lissajous search patterns.
- Data-driven predictive models show promise for future fast pattern optimization.
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