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In this study, we present a simulation-based numerical method for solving a class of singularly perturbed second-order differential equations that come from a simplified biologically motivated model of human gait. Important physical factors…

Numerical Analysis · Mathematics 2025-09-01 Shubhangini Gupta , Sourav Banerjee , Tamal Pramanick

This paper presents a sequential Model Predictive Control (MPC) approach to reactive motion planning for bipedal robots in dynamic environments. The approach relies on a sequential polytopic decomposition of the free space, which provides…

Safe UAV navigation is challenging due to the complex environment structures, dynamic obstacles, and uncertainties from measurement noises and unpredictable moving obstacle behaviors. Although plenty of recent works achieve safe navigation…

Robotics · Computer Science 2022-03-15 Zhefan Xu , Di Deng , Yiping Dong , Kenji Shimada

Discrete Element Methods (DEM), i.e.~the simulation of many rigid particles, suffer from very stiff differential equations plus multiscale challenges in space and time. The particles move smoothly through space until they interact almost…

Mathematical Software · Computer Science 2023-09-28 Peter Noble , Tobias Weinzierl

We present a novel control strategy for dynamic legged locomotion in complex scenarios, that considers information about the morphology of the terrain in contexts when only on-board mapping and computation are available. The strategy is…

Legged robots can pass through complex field environments by selecting gaits and discrete footholds carefully. Traditional methods plan gait and foothold separately and treat them as the single-step optimal process. However, such processing…

Robotics · Computer Science 2023-07-06 Liang Ding , Peng Xu , Haibo Gao , Zhikai Wang , Ruyi Zhou , Zhaopei Gong , Guangjun Liu

Hybrid systems, such as bipedal walkers, are challenging to control because of discontinuities in their nonlinear dynamics. Little can be predicted about the systems' evolution without modeling the guard conditions that govern transitions…

Robotics · Computer Science 2019-03-04 Aleksandra Kalinowska , Thomas A. Berrueta , Adam Zoss , Todd Murphey

In contrast to quadruped robots that can navigate diverse terrains using a "blind" policy, humanoid robots require accurate perception for stable locomotion due to their high degrees of freedom and inherently unstable morphology. However,…

Robotics · Computer Science 2024-11-22 Junfeng Long , Junli Ren , Moji Shi , Zirui Wang , Tao Huang , Ping Luo , Jiangmiao Pang

Wearable technology for the automatic detection of gait events has recently gained growing interest, enabling advanced analyses that were previously limited to specialist centres and equipment (e.g., instrumented walkway). In this study, we…

Signal Processing · Electrical Eng. & Systems 2020-09-01 Matteo Gadaleta , Giulia Cisotto , Michele Rossi , Rana Zia Ur Rehman , Lynn Rochester , Silvia Del Din

This paper presents a motion planning algorithm for quadruped locomotion based on density functions. We decompose the locomotion problem into a high-level density planner and a model predictive controller (MPC). Due to density functions…

Robotics · Computer Science 2023-12-15 Sriram S. K. S Narayanan , Andrew Zheng , Umesh Vaidya

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 work presents a decentralized motion planning framework for addressing the task of multi-robot navigation using deep reinforcement learning. A custom simulator was developed in order to experimentally investigate the navigation problem…

Planning for legged-wheeled machines is typically done using trajectory optimization because of many degrees of freedom, thus rendering legged-wheeled planners prone to falling prey to bad local minima. We present a combined sampling and…

Robotics · Computer Science 2021-04-12 Edo Jelavic , Farbod Farshidian , Marco Hutter

To reduce the computational cost of humanoid motion generation, we introduce a new approach to representing robot kinematic reachability: the differentiable reachability map. This map is a scalar-valued function defined in the task space…

Robotics · Computer Science 2025-08-18 Masaki Murooka , Iori Kumagai , Mitsuharu Morisawa , Fumio Kanehiro

This study presents a theoretical framework for planning and controlling agile bipedal locomotion based on robustly tracking a set of non-periodic apex states. Based on the prismatic inverted pendulum model, we formulate a hybrid…

Robotics · Computer Science 2015-11-17 Ye Zhao , Benito R. Fernandez , Luis Sentis

Social navigation for bipedal robots remains relatively unexplored due to the highly complex, nonlinear dynamics of bipedal locomotion. This study presents a preliminary exploration of social navigation for bipedal robots in a human crowded…

Robotics · Computer Science 2023-10-17 Abdulaziz Shamsah , Ye Zhao

Gait control of legged robotic walkers on dynamically moving surfaces (e.g., ships and vehicles) is challenging due to the limited balance control actuation and unknown surface motion. We present a contingent model predictive control (CMPC)…

Robotics · Computer Science 2024-04-22 Kuo Chen , Xinyan Huang , Xunjie Chen , Jingang Yi

We study the problem of bipedal robot navigation in complex environments with uncertain and rough terrain. In particular, we consider a scenario in which the robot is expected to reach a desired goal location by traversing an environment…

Robotics · Computer Science 2024-04-16 Kasidit Muenprasitivej , Jesse Jiang , Abdulaziz Shamsah , Samuel Coogan , Ye Zhao

For motion planning and control of autonomous vehicles to be proactive and safe, pedestrians' and other road users' motions must be considered. In this paper, we present a vehicle motion planning and control framework, based on Model…

Systems and Control · Computer Science 2019-03-20 Ivo Batkovic , Mario Zanon , Mohammad Ali , Paolo Falcone

Most animal and human locomotion behaviors for solving complex tasks involve dynamic motions and rich contact interaction. In fact, complex maneuvers need to consider dynamic movement and contact events at the same time. We present a…

Robotics · Computer Science 2019-04-10 Carlos Mastalli , Ioannis Havoutis , Michele Focchi , Darwin G. Caldwell , Claudio Semini
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