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Path Planning for a UAV Swarm Using Formation Teaching-Learning-Based Optimization

Van Truong Hoang, Manh Duong Phung

TL;DR

The paper tackles multi-UAV formation path planning by formulating a centroid-based optimization problem that jointly minimizes path length, safety violations, and task performance via a multi-objective fitness $Φ(q) = αΦ_{length}(q) + βΦ_{safe}(q) + γΦ_{task}(q)$. It introduces formation TLBO (FTLBO), which augments the standard TLBO with mutation, elitism, and multi-subject learning to efficiently search the 3D space and avoid local minima, ensuring the UAVs maintain a triangular formation around the centroid while avoiding cylindrical obstacles. Through simulations and real UAV tests, the method achieves obstacle-free centroid paths with stable formation, outperforming GA, TLBO, and θ-PSO in convergence and solution quality. The approach demonstrates practical applicability for coordinated surveys (e.g., orchard monitoring) by producing feasible, formation-preserving trajectories that can be executed with off-the-shelf UAV platforms.

Abstract

This work addresses the path planning problem for a group of unmanned aerial vehicles (UAVs) to maintain a desired formation during operation. Our approach formulates the problem as an optimization task by defining a set of fitness functions that not only ensure the formation but also include constraints for optimal and safe UAV operation. To optimize the fitness function and obtain a suboptimal path, we employ the teaching-learning-based optimization algorithm and then further enhance it with mechanisms such as mutation, elite strategy, and multi-subject combination. A number of simulations and experiments have been conducted to evaluate the proposed method. The results demonstrate that the algorithm successfully generates valid paths for the UAVs to fly in a triangular formation for an inspection task.

Path Planning for a UAV Swarm Using Formation Teaching-Learning-Based Optimization

TL;DR

The paper tackles multi-UAV formation path planning by formulating a centroid-based optimization problem that jointly minimizes path length, safety violations, and task performance via a multi-objective fitness . It introduces formation TLBO (FTLBO), which augments the standard TLBO with mutation, elitism, and multi-subject learning to efficiently search the 3D space and avoid local minima, ensuring the UAVs maintain a triangular formation around the centroid while avoiding cylindrical obstacles. Through simulations and real UAV tests, the method achieves obstacle-free centroid paths with stable formation, outperforming GA, TLBO, and θ-PSO in convergence and solution quality. The approach demonstrates practical applicability for coordinated surveys (e.g., orchard monitoring) by producing feasible, formation-preserving trajectories that can be executed with off-the-shelf UAV platforms.

Abstract

This work addresses the path planning problem for a group of unmanned aerial vehicles (UAVs) to maintain a desired formation during operation. Our approach formulates the problem as an optimization task by defining a set of fitness functions that not only ensure the formation but also include constraints for optimal and safe UAV operation. To optimize the fitness function and obtain a suboptimal path, we employ the teaching-learning-based optimization algorithm and then further enhance it with mechanisms such as mutation, elite strategy, and multi-subject combination. A number of simulations and experiments have been conducted to evaluate the proposed method. The results demonstrate that the algorithm successfully generates valid paths for the UAVs to fly in a triangular formation for an inspection task.
Paper Structure (13 sections, 19 equations, 9 figures, 1 table, 1 algorithm)

This paper contains 13 sections, 19 equations, 9 figures, 1 table, 1 algorithm.

Figures (9)

  • Figure 1: Inertial and formation frames in UAV formation
  • Figure 2: Pseudo code of the FTLBO for formation path planning.
  • Figure 3: Working area with the obstacles identified
  • Figure 4: Generated path for the formation's centroid
  • Figure 5: Generated paths for three UAVs
  • ...and 4 more figures