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In this letter, we formulate a novel Markov Decision Process (MDP) for safe and data-efficient learning for humanoid locomotion aided by a dynamic balancing model. In our previous studies of biped locomotion, we relied on a low-dimensional…

Robotics · Computer Science 2020-04-29 Junhyeok Ahn , Jaemin Lee , Luis Sentis

This paper addresses the challenge of terrain-adaptive dynamic locomotion in humanoid robots, a problem traditionally tackled by optimization-based methods or reinforcement learning (RL). Optimization-based methods, such as model-predictive…

Robotics · Computer Science 2024-07-30 Shangqun Yu , Nisal Perera , Daniel Marew , Donghyun Kim

In this paper, we propose a cost-matching approach for optimal humanoid locomotion within a Model Predictive Control (MPC)-based Reinforcement Learning (RL) framework. A parameterized MPC formulation with centroidal dynamics is trained to…

Robotics · Computer Science 2026-03-31 Wenqi Cai , Kyriakos G. Vamvoudakis , Sébastien Gros , Anthony Tzes

This paper presents a novel Adaptive-frequency MPC framework for bipedal locomotion over terrain with uneven stepping stones. In detail, we intend to achieve adaptive foot placement and gait period for bipedal periodic walking gait with…

Robotics · Computer Science 2022-09-20 Junheng Li , Quan Nguyen

This paper presents a comprehensive study on using deep reinforcement learning (RL) to create dynamic locomotion controllers for bipedal robots. Going beyond focusing on a single locomotion skill, we develop a general control solution that…

Robotics · Computer Science 2024-08-27 Zhongyu Li , Xue Bin Peng , Pieter Abbeel , Sergey Levine , Glen Berseth , Koushil Sreenath

For the deployment of legged robots in real-world environments, it is essential to develop robust locomotion control methods for challenging terrains that may exhibit unexpected deformability and irregularity. In this paper, we explore the…

Robotics · Computer Science 2025-04-21 Rohan P. Singh , Mitsuharu Morisawa , Mehdi Benallegue , Zhaoming Xie , Fumio Kanehiro

Model predictive control (MPC) has shown great success for controlling complex systems such as legged robots. However, when closing the loop, the performance and feasibility of the finite horizon optimal control problem (OCP) solved at each…

Humans can balance very well during walking, even when perturbed. But it seems difficult to achieve robust walking for bipedal robots. Here we describe the simplest balance controller that leads to robust walking for a linear inverted…

Robotics · Computer Science 2022-11-14 Linqi Ye , Xueqian Wang , Houde Liu , Bin Liang

In this paper, we propose a novel framework on force-and-moment-based Model Predictive Control (MPC) for dynamic legged robots. Specifically, we present a formulation of MPC designed for 10 degree-of-freedom (DoF) bipedal robots using…

Robotics · Computer Science 2021-10-07 Junheng Li , Quan Nguyen

This paper presents a novel model-free reinforcement learning (RL) framework to design feedback control policies for 3D bipedal walking. Existing RL algorithms are often trained in an end-to-end manner or rely on prior knowledge of some…

Robotics · Computer Science 2019-10-07 Guillermo A. Castillo , Bowen Weng , Wei Zhang , Ayonga Hereid

Linear Model Predictive Control (MPC) has been successfully used for generating feasible walking motions for humanoid robots. However, the effect of uncertainties on constraints satisfaction has only been studied using Robust MPC (RMPC)…

Systems and Control · Electrical Eng. & Systems 2020-11-16 Ahmad Gazar , Majid Khadiv , Andrea Del Prete , Ludovic Righetti

Bipedal humanoid robots must precisely coordinate balance, timing, and contact decisions when locomoting on constrained footholds such as stepping stones, beams, and planks -- even minor errors can lead to catastrophic failure. Classical…

Robotics · Computer Science 2026-01-13 Min Dai , William D. Compton , Junheng Li , Lizhi Yang , Aaron D. Ames

Model Predictive Control (MPC) provides interpretable, tunable locomotion controllers grounded in physical models, but its robustness depends on frequent replanning and is limited by model mismatch and real-time computational constraints.…

Robotics · Computer Science 2025-10-15 Se Hwan Jeon , Ho Jae Lee , Seungwoo Hong , Sangbae Kim

This work presents an extended framework for learning-based bipedal locomotion that incorporates a heuristic step-planning strategy guided by desired torso velocity tracking. The framework enables precise interaction between a humanoid…

Robotics · Computer Science 2025-12-01 William Suliman , Ekaterina Chaikovskaia , Egor Davydenko , Roman Gorbachev

Bipedal robots promise the ability to traverse rough terrain quickly and efficiently, and indeed, humanoid robots can now use strong ankles and careful foot placement to traverse discontinuous terrain. However, more agile underactuated…

Robotics · Computer Science 2023-09-18 Brian Acosta , Michael Posa

In this paper, a hierarchical and robust framework for learning bipedal locomotion is presented and successfully implemented on the 3D biped robot Digit built by Agility Robotics. We propose a cascade-structure controller that combines the…

Robotics · Computer Science 2021-03-30 Guillermo A. Castillo , Bowen Weng , Wei Zhang , Ayonga Hereid

Recently, work on reinforcement learning (RL) for bipedal robots has successfully learned controllers for a variety of dynamic gaits with robust sim-to-real demonstrations. In order to maintain balance, the learned controllers have full…

Robotics · Computer Science 2022-05-05 Helei Duan , Ashish Malik , Jeremy Dao , Aseem Saxena , Kevin Green , Jonah Siekmann , Alan Fern , Jonathan Hurst

Traditional one-step preview planning algorithms for bipedal locomotion struggle to generate viable gaits when walking across terrains with restricted footholds, such as stepping stones. To overcome such limitations, this paper introduces a…

Robotics · Computer Science 2026-02-20 Zhaoyang Xiang , Victor Paredes , Guillermo A. Castillo , Ayonga Hereid

Dynamic legged locomotion is a challenging topic because of the lack of established control schemes which can handle aerial phases, short stance times, and high-speed leg swings. In this paper, we propose a controller combining whole-body…

Robotics · Computer Science 2019-09-17 Donghyun Kim , Jared Di Carlo , Benjamin Katz , Gerardo Bledt , Sangbae Kim

Quadrupedal robots are increasingly deployed for load-carrying tasks across diverse terrains. While Model Predictive Control (MPC)-based methods can account for payload variations, they often depend on predefined gait schedules or…

Robotics · Computer Science 2025-05-02 Vamshi Kumar Kurva , Shishir Kolathaya