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MPPI-IPDDP: Hybrid Method of Collision-Free Smooth Trajectory Generation for Autonomous Robots

Authors: Min-Gyeom Kim, Minchan Jung, JunGee Hong, Kwang-Ki K. Kim

Published: 2022 (Journal Paper)

Source: Transactions on Industrial Informatics

Algorithm: MPPI-IPDDP

arXiv: 2208.02439

DOI: 10.1109/TII.2024.3507940

Summary

Hybrid method combining MPPI for global, collision-free trajectory generation with Interior Point DDP (IPDDP) for smooth, dynamically optimal local refinement, leveraging the complementary strengths of sampling and gradient-based trajectory optimization.

Abstract

This paper presents a hybrid trajectory optimization method designed to generate collision-free, smooth trajectories for autonomous mobile robots. By combining sampling-based Model Predictive Path Integral (MPPI) control with gradient-based Interior-Point Differential Dynamic Programming (IPDDP), we leverage their respective strengths in exploration and smoothing. The proposed method, MPPI-IPDDP, involves three steps: First, MPPI control is used to generate a coarse trajectory. Second, a collision-free convex corridor is constructed. Third, IPDDP is applied to smooth the coarse trajectory, utilizing the collision-free corridor from the second step. To demonstrate the effectiveness of our approach, we apply the proposed algorithm to trajectory optimization for differential-drive wheeled mobile robots and point-mass quadrotors. In comparisons with other MPPI variants and continuous optimization-based solvers, our method shows superior performance in terms of computational robustness and trajectory smoothness.

Tags

  • Trajectory optimization

  • MPPI

  • Differential dynamic programming

  • Interior point

  • Collision avoidance

  • Hybrid trajectory optimization