A Terrain-Adaptive epsilon-Constraint MPC for Uneven Terrain Kinodynamic Planning

Fuente: arXiv
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Autori principali: Jerome, Otobong, Kalathunga, Geesara, Nascimento, Tiago
Natura: Preprint
Pubblicazione: 2026
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author Jerome, Otobong
Kalathunga, Geesara
Nascimento, Tiago
author_facet Jerome, Otobong
Kalathunga, Geesara
Nascimento, Tiago
contents Kinodynamic planning for car-like vehicles on uneven terrain requires simultaneously optimizing competing objectives such as path efficiency and pose stability. This work presents an adaptive epsilon-constraint method integrated into a Model Predictive Control (MPC) framework, where the epsilon bounds are dynamically adjusted based on terrain descriptors to explore the Pareto front in real time. To capture vehicle-terrain dynamics, we develop a semi-parametric model combining analytical vehicle dynamics with a Sparse Gaussian Process (SGP) trained on the same terrain descriptors. The proposed epsilon-MPC is evaluated against MPPI and GAKD baselines, achieving a 94% navigation success rate while reducing maximum orientation deviation by 24% and improving multi-objective trade-off quality by 23%.
format Preprint
id arxiv_https___arxiv_org_abs_2605_21188
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Terrain-Adaptive epsilon-Constraint MPC for Uneven Terrain Kinodynamic Planning
Jerome, Otobong
Kalathunga, Geesara
Nascimento, Tiago
Robotics
Kinodynamic planning for car-like vehicles on uneven terrain requires simultaneously optimizing competing objectives such as path efficiency and pose stability. This work presents an adaptive epsilon-constraint method integrated into a Model Predictive Control (MPC) framework, where the epsilon bounds are dynamically adjusted based on terrain descriptors to explore the Pareto front in real time. To capture vehicle-terrain dynamics, we develop a semi-parametric model combining analytical vehicle dynamics with a Sparse Gaussian Process (SGP) trained on the same terrain descriptors. The proposed epsilon-MPC is evaluated against MPPI and GAKD baselines, achieving a 94% navigation success rate while reducing maximum orientation deviation by 24% and improving multi-objective trade-off quality by 23%.
title A Terrain-Adaptive epsilon-Constraint MPC for Uneven Terrain Kinodynamic Planning
topic Robotics
url https://arxiv.org/abs/2605.21188