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Collaborative Quadruped Transportation in 3D Terrain with Constrained Diffusion

Williard Joshua Jose, Li Chen, Hao Zhang

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Key figure (auto-extracted from paper)
CQTD enables two closely-coupled quadruped robots to successfully transport payloads across complex 3D terrain by jointly learning team trajectories with diffusion models and optimizing individual velocity controls under strict kinematic and collision constraints.
Collaborative transportation Diffusion models Quadruped robots Constrained optimization Multi-robot systems 3D terrain navigation

Problem

Existing multi-robot transportation methods struggle to reconcile team-level trajectory planning with individual robot control while accounting for payload-induced kinematic constraints, anisotropic velocity limits, and unstructured 3D terrain obstacles.

Approach

CQTD formulates the task as a constrained bilevel optimization problem where an upper-level diffusion model generates terrain-aware team trajectories, and a lower-level optimizer computes individual velocity commands that satisfy closed-chain kinematics, collision avoidance, and robot-specific velocity limits.

Key results

  • Enables closely-coupled dual-quadruped payload transport across unstructured 3D terrain
  • Introduces a constrained bilevel optimization framework integrating diffusion-based team planning with individual velocity control
  • Develops and releases an open-source Gazebo simulation with automatic 3D terrain generation and ROS-based dual-quadruped control
  • Demonstrates superior performance over baselines in high-fidelity simulations and real-world quadruped robot teams

Why it matters

Provides a scalable, constraint-aware framework for coordinated multi-robot payload transport in unstructured outdoor environments critical for search-and-rescue and logistics.

Abstract

Recently, multi-robot systems have gained sig- nificant attention for their promise of scalable efficiency, reliability, and cost savings. A crucial capability is collaborative transportation, where a team of robots works together to transport a payload. However, key challenges remain, such as potential conflicts between team-level decisions and individual- level robot controls, team kinematic constraints imposed by the robot-payload coupling, and diverse obstacles encountered in 3D terrain. We present Collaborative Quadruped Transportation with Constrained Diffusion (CQTD), enabling a team of closely coupled quadruped robots to collaboratively transport a payload across 3D terrain. A diffusion-based upper level learns terrain-aware team-level trajectories satisfying team kinematic constraints due to the payload coupling, while a lower level optimizes velocity controls of individual robots satisfying collision and anisotropic velocity constraints. Experiments in high-fidelity simulations and on real-world quadruped robot teams demonstrate that CQTD outperforms baseline methods in challenging 3D terrain scenarios requiring closely-coupled collaboration between the quadruped robots. More details of this work are available on the project website: https://hcrlab.gitlab.io/project/cqtd.

Index terms

Multi-Robot Systems

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