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The realization space of geometric constraint systems is given by the vanishing locus of polynomials corresponding to natural geometric constraints. Such geometric constraint systems arise in many real-world scenarios such as structural…

Metric Geometry · Mathematics 2026-04-14 Matthias Adrian-Himmelmann

Symmetry manifests itself in legged locomotion in a variety of ways. No matter where a legged system begins to move periodically, the torso and limbs coordinate with each other's movements in a similar manner. Also, in many gaits observed…

Robotics · Computer Science 2024-04-10 Jiayu Ding , Zhenyu Gan

Legged robotic systems can play an important role in real-world applications due to their superior load-bearing capabilities, enhanced autonomy, and effective navigation on uneven terrain. They offer an optimal trade-off between mobility…

Robotics · Computer Science 2024-10-07 Ioannis Tsikelis , Konstantinos Chatzilygeroudis

Trajectory optimization is an essential tool for generating efficient, dynamically consistent gaits in legged locomotion. This paper explores the indirect method of trajectory optimization, emphasizing its application in creating optimal…

Robotics · Computer Science 2026-04-02 Maximilian Raff , Kathrin Flaßkamp , C. David Remy

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

Accurate quantification of complex human movements, such as gait, is essential for clinical diagnosis and rehabilitation but is often limited by traditional linear models rooted in Euclidean geometry. These frameworks frequently fail to…

Quantitative Methods · Quantitative Biology 2025-12-11 Tomáš Bůžek

This paper presents a framework that leverages both control theory and machine learning to obtain stable and robust bipedal locomotion without the need for manual parameter tuning. Traditionally, gaits are generated through trajectory…

Robotics · Computer Science 2021-03-31 Maegan Tucker , Noel Csomay-Shanklin , Wen-Loong Ma , Aaron D. Ames

Lower limbs exoskeletons provide assistance during standing, squatting, and walking. Gait dynamics, in particular, implies a change in the configuration of the device in terms of contact points, actuation, and system dynamics in general. In…

Robotics · Computer Science 2021-07-09 Vittorio Lippi , Cristian Camardella , Alessandro Filippeschi , Francesco Porcini

Continuum robots with floating bases demonstrate exceptional operational capabilities in confined spaces, such as those encountered in medical surgeries and equipment maintenance. However, developing low-cost solutions for their motion and…

Robotics · Computer Science 2025-03-20 Congjun Ma , Quan Xiao , Liangcheng Liu , Xingxing You , Songyi Dian

We focus on the problem of developing energy efficient controllers for quadrupedal robots. Animals can actively switch gaits at different speeds to lower their energy consumption. In this paper, we devise a hierarchical learning framework,…

Robotics · Computer Science 2021-11-23 Yuxiang Yang , Tingnan Zhang , Erwin Coumans , Jie Tan , Byron Boots

This paper presents an optimization-based motion planning methodology for snake robots operating in constrained environments. By using a reduced-order model, the proposed approach simplifies the planning process, enabling the optimizer to…

Robotics · Computer Science 2025-03-11 Adarsh Salagame , Eric Sihite , Milad Ramezani , Alireza Ramezani

Active matter represents a class of non-equilibrium systems that constantly dissipate energy to produce directed motion. The thermodynamic control of active matter holds great potential for advancements in synthetic molecular motors,…

Statistical Mechanics · Physics 2024-09-17 Yating Wang , Enmai Lei , Yu-Han Ma , Z. C. Tu , Geng Li

We propose an online motion planner for legged robot locomotion with the primary objective of achieving energy efficiency. The conceptual idea is to leverage a placement set of footstep positions based on the robot's body position to…

Robotics · Computer Science 2025-06-25 Alexander Schperberg , Marcel Menner , Stefano Di Cairano

This paper formulates an optimal control problem for a system of rigid bodies that are connected by ball joints and immersed in an irrotational and incompressible fluid. The rigid bodies can translate and rotate in three-dimensional space,…

Optimization and Control · Mathematics 2009-09-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

This paper aims to identify in a practical manner unknown physical parameters, such as mechanical models of actuated robot links, which are critical in dynamical robotic tasks. Key features include the use of an off-the-shelf physics engine…

Robotics · Computer Science 2018-04-16 Shaojun Zhu , David Surovik , Kostas E. Bekris , Abdeslam Boularias

Gait, the manner of walking, has been proven to be a reliable biometric with uses in surveillance, marketing and security. A promising new direction for the field is training gait recognition systems without explicit human annotations,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Adrian Cosma , Emilian Radoi

Limbless robots have the potential to maneuver through cluttered environments that conventional robots cannot traverse. As illustrated in their biological counterparts such as snakes and nematodes, limbless locomotors can benefit from…

In reinforcement learning for legged robot locomotion, crafting effective reward strategies is crucial. Pre-defined gait patterns and complex reward systems are widely used to stabilize policy training. Drawing from the natural locomotion…

We generalize the well-studied problem of gait learning in modular robots in two dimensions. Firstly, we address locomotion in a given target direction that goes beyond learning a typical undirected gait. Secondly, rather than studying one…

Neural and Evolutionary Computing · Computer Science 2020-01-23 Gongjin Lan , Matteo De Carlo , Fuda van Diggelen , Jakub M. Tomczak , Diederik M. Roijers , A. E. Eiben

To improve the control of wearable robotics for gait assistance, we present an approach for continuous locomotion mode recognition as well as gait phase and stair slope estimation based on artificial neural networks that include time…

Robotics · Computer Science 2022-08-02 Florian Weigand , Andreas Höhl , Julian Zeiss , Ulrich Konigorski , Martin Grimmer