Current global multi-robot path planning methods generally assume that agents strictly follow the planned paths during execution. However, factors such as slippage, delays, path deviations, and speed or acceleration constraints prevent robots from accurately following these paths, potentially leading to deadlocks or new conflicts. To address the issue of poor path feasibility in current multi-robot path planning methods, this paper proposes an integrated global path planning and local motion control algorithm for multi-robot, which considers both global optimal path planning and local flexible motion control. First, for global path planning, an improved SH-FEECBS (Smooth Heuristic Flexible Explicit Estimation Conflict-Based Search) method is introduced to reduce the number of turns and enhance path smoothness, thereby lowering the corrective burden on the subsequent local controller. Second, for local motion control, the TEB-VO (Time-Elastic Band Velocity Obstacle) method is proposed, integrating the velocity obstacle method to enable flexible robot control to provide constraint-aware, real-time avoidance and robust tracking. A series of experiments were designed and conducted to evaluate the performance of the proposed global path planning algorithm, local motion control algorithm, and their integrated approach in multi-robot path planning. The results show measurable gains which is SH-FEECBS improves path smoothness by 5 % and has fewer turns, TEB-VO increases the minimum safety distance by 10 %, and the integrated system enhances average-speed consistency by 20 %. Experimental results demonstrate that the proposed path planning and motion control methods outperform traditional approaches in terms of smoothness, obstacle avoidance, and dynamic motion control performance, effectively improving the operational efficiency and stability of multi-robot systems.
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