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March 4, 2026Biomimetics4 citationsOpen Access

Bio-Inspired Metaheuristics for Time-Optimal Trajectory Planning in Cooperative Dual-Arm Bimanipulation

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MYMario Peñacoba YagüeJSJesús-Enrique Sierra-GarcíaMSM. Santos-Peñas

Key Points

  • To develop time-efficient and collision-free trajectories for dual-arm robotic systems in constrained environments.
  • Formulated trajectory generation as a constrained optimization problem.
  • Employed bio-inspired metaheuristics including PSO, WOA, and GOA.
  • Evaluated solutions based on a safety-first cost function that penalizes collisions.
  • Conducted controlled benchmarking under identical conditions.
  • PSO achieved feasibility first with the lowest final objective value and shortest execution time (6.825 s).
  • WOA followed with a time of 7.330 s, while GOA had the longest at 8.525 s.
  • All algorithms reliably discovered feasible trajectories, but PSO showed distinct advantages in efficiency.

Abstract

This paper addresses the generation of time-efficient, collision-free cooperative motions for a dual-arm robotic system transporting a shared payload in constrained industrial workspaces. Trajectory generation is formulated as a constrained optimization problem and solved through bio-inspired metaheuristic search, where candidate solutions are evaluated with a safety-first cost function that first enforces feasibility by heavily penalizing collisions and then minimizes total execution time among collision-free trajectories. Particle Swarm Optimization (PSO), Whale Optimization Algorithm (WOA), and Gazelle Optimization Algorithm (GOA) are evaluated under identical bounds and stopping conditions, showing that all three reliably discover feasible cooperative trajectories; however, clear differences emerge in feasibility discovery and final trajectory quality: PSO reaches feasibility earlier and achieves the lowest final objective value and the shortest trajectory execution time (6.825 s), followed by WOA (7.330 s) and GOA (8.525 s). Overall, this work contributes an object-centric optimization methodology for constrained dual-arm bimanipulation using bio-inspired metaheuristics, a feasibility-first cost structuring that explicitly separates safe motion discovery from time-optimal refinement, and a controlled benchmarking of PSO/WOA/GOA that quantifies their distinct convergence and late-stage refinement behaviors.

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Cite This Study

Yagüe et al. (2026) studied this question.

synapsesocial.com/papers/69a7cce8d48f933b5eed8c6bhttps://doi.org/10.3390/biomimetics11030173
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