KEYWORDS: Satellites, Particle swarm optimization, Particles, Error analysis, Evolutionary algorithms, Search and rescue, Time metrology, Computer simulations, Monte Carlo methods, Analytical research
In response to the existing beacon positioning methods in medium Earth orbit (MEO) search and rescue operations, an improved particle swarm optimization algorithm based on Time Difference of Arrival (TDOA) localization is proposed. The study analyzes and simulates the Geometric Dilution of Precision (GDOP) for TDOA localization, demonstrating that GDOP is directly proportional to time measurement errors and satellite position errors. Furthermore, a modified particle swarm optimization algorithm is presented, which incorporates an adaptive fitness function and adaptive parameter adjustments using a classic particle swarm optimization approach. The proposed method improves the inertial weight and introduces adaptive algorithms for fitness functions and inertial parameters. This improved particle swarm optimization algorithm not only effectively addresses issues such as poor convergence and susceptibility to local optima but also accurately determines the position of the beacon. Simulation results indicate that When the time error is 1μs, the improved Particle Swarm Optimization (PSO) algorithm achieves a positioning accuracy of 0.57km. This represents a 5% improvement over the classical PSO algorithm and a significant 15% improvement compared to the Weighted Least Squares (WLS) algorithm.
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