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For legged robots to perform agile, highly dynamic and contact-rich motions, whole-body trajectories computation of under-actuated complex systems subject to non-linear dynamics is required. In this work, we present hands-on applications of…

Robotics · Computer Science 2022-06-20 Francesco Ruscelli , Arturo Laurenzi , Nikos G. Tsagarakis , Enrico Mingo Hoffman

In this paper, we present an efficient Dynamic Programing framework for optimal planning and control of legged robots. First we formulate this problem as an optimal control problem for switched systems. Then we propose a multi--level…

Systems and Control · Computer Science 2018-01-31 Farbod Farshidian , Michael Neunert , Alexander W. Winkler , Gonzalo Rey , Jonas Buchli

The ability to generate robust walking gaits on bipedal robots is key to their successful realization on hardware. To this end, this work extends the method of Hybrid Zero Dynamics (HZD) -- which traditionally only accounts for locomotive…

Robotics · Computer Science 2023-03-09 Maegan Tucker , Noel Csomay-Shanklin , Aaron D. Ames

This paper presents a novel methodology to model and optimize trajectories of a quadrupedal robot with spinal compliance to improve standing jump performance compared to quadrupeds with a rigid spine. We introduce an elastic model for a…

Robotics · Computer Science 2021-09-02 Keran Ye , Konstantinos Karydis

Legged robots with closed-loop kinematic chains are increasingly prevalent due to their increased mobility and efficiency. Yet, most motion generation methods rely on serial-chain approximations, sidestepping their specific constraints and…

Robotics · Computer Science 2025-04-02 Ludovic de Matteis , Virgile Batto , Justin Carpentier , Nicolas Mansard

To achieve highly dynamic jumps of legged robots, it is essential to control the rotational dynamics of the robot. In this paper, we aim to improve the jumping performance by proposing a unified model for planning highly dynamic jumps that…

Robotics · Computer Science 2021-09-13 Ke Wang , Guiyang Xin , Songyan Xin , Michael Mistry , Sethu Vijayakumar , Petar Kormushev

This study investigates formal-method-based trajectory optimization (TO) for bipedal locomotion, focusing on scenarios where the robot encounters external perturbations at unforeseen times. Our key research question centers around the…

Robotics · Computer Science 2023-10-18 Zhaoyuan Gu , Rongming Guo , William Yates , Yipu Chen , Ye Zhao

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

Autonomous terrain traversal of articulated tracked robots can reduce operator cognitive load to enhance task efficiency and facilitate extensive deployment. We present a novel hybrid trajectory optimization method aimed at generating…

Robotics · Computer Science 2023-11-27 Zhengzhe Xu , Yanbo Chen , Zhuozhu Jian , Junbo Tan , Xueqian Wang , Bin Liang

In this paper we propose a method to improve the accuracy of trajectory optimization for dynamic robots with intermittent contact by using orthogonal collocation. Until recently, most trajectory optimization methods for systems with…

Robotics · Computer Science 2019-04-03 Amir Patel , Stacey Shield , Saif Kazi , Aaron M. Johnson , Lorenz T. Biegler

This paper proposes a novel control framework for agile and robust bipedal locomotion, addressing model discrepancies between full-body and reduced-order models. Specifically, assumptions such as constant centroidal inertia have introduced…

Robotics · Computer Science 2024-09-17 Seung Hyeon Bang , Jaemin Lee , Carlos Gonzalez , Luis Sentis

One of the fundamental challenges in realizing the potential of legged robots is generating plans to traverse challenging terrains. Control actions must be carefully selected so the robot will not crash or slip. The high dimensionality of…

Robotics · Computer Science 2022-05-24 Hersh Sanghvi , Camillo Jose Taylor

Numerical optimization has become a popular approach to plan smooth motion trajectories for robots. However, when sharing space with humans, balancing properly safety, comfort and efficiency still remains challenging. This is notably the…

Robotics · Computer Science 2022-10-25 Philipp Kratzer , Marc Toussaint , Jim Mainprice

A vast number of applications for legged robots entail tasks in complex, dynamic environments. But these environments put legged robots at high risk for limb damage. This paper presents an empirical study of fault tolerant dynamic gaits…

Robotics · Computer Science 2023-09-25 Abriana Stewart-Height , Daniel E. Koditschek

We present a motion planning algorithm with probabilistic guarantees for limbed robots with stochastic gripping forces. Planners based on deterministic models with a worst-case uncertainty can be conservative and inflexible to consider the…

Robotics · Computer Science 2020-07-28 Yuki Shirai , Xuan Lin , Yusuke Tanaka , Ankur Mehta , Dennis Hong

Despite the extensive presence of the legged locomotion in animals, it is extremely challenging to be reproduced with robots. Legged locomotion is an dynamic task which benefits from a planning that takes advantage of the gravitational pull…

Robotics · Computer Science 2019-10-09 Carlo Tiseo , Sethu Vijayakumar , Michael Mistry

As low-thrust space missions increase in prevalence, it is becoming increasingly important to design robust trajectories against unforeseen thruster outages or missed thrust events. Accounting for such events is particularly important in…

Optimization and Control · Mathematics 2025-06-18 Amlan Sinha , Ryne Beeson

Designing spacecraft trajectories remains challenging in the presence of stochastic effects such as maneuver execution errors and observation uncertainties. Although covariance control and belief-space planning provide useful tools for…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Masahiro Fujiwara , Naoya Ozaki

Contact planning is crucial in locomoting systems.Specifically, appropriate contact planning can enable versatile behaviors (e.g., sidewinding in limbless locomotors) and facilitate speed-dependent gait transitions (e.g., walk-trot-gallop…

To reproduce natural standing-up motion, recent studies have emphasized the importance of coordination between the assisting robot and the human. However, many non-wearable assistive devices have struggled to replicate natural motion…

Neurons and Cognition · Quantitative Biology 2025-05-20 Atsuya Kusui , Susumu Hirai , Asuka Takai
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