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Related papers: Input to State Stability of Bipedal Walking Robots…

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Incremental stability of dynamical systems ensures the convergence of trajectories from different initial conditions towards each other rather than a fixed trajectory or equilibrium point. Here, we introduce and characterize a novel class…

Systems and Control · Electrical Eng. & Systems 2024-11-05 David Smith Sundarsingh , Bhabani Shankar Dey , Pushpak Jagtap

Bipedal running is a difficult task to realize in robots, since the trunk is underactuated and control is limited by intermittent ground contacts. Stabilizing the trunk becomes even more challenging if the terrain is uneven and causes…

Robotics · Computer Science 2020-06-09 Özge Drama , Alexander Badri-Spröwitz

Legged robots carry an IMU, but the inertial solution drifts because consumer-grade IMUs are noisy. However, the feet create intermittent contacts with the environment that can be used to mitigate that drift. This report develops a sequence…

Robotics · Computer Science 2026-05-25 Frank Dellaert , Chiyun Noh , Varun Agrawal , Ayoung Kim

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

Non-linear dynamical systems represent a compact, flexible, and robust tool for reactive motion generation. The effectiveness of dynamical systems relies on their ability to accurately represent stable motions. Several approaches have been…

Robotics · Computer Science 2020-06-01 Matteo Saveriano

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

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

While humans are highly capable of recovering from external disturbances and uncertainties that result in large tracking errors, humanoid robots have yet to reliably mimic this level of robustness. Essential to this is the ability to…

Robotics · Computer Science 2017-12-29 Robert J. Griffin , Georg Wiedebach , Sylvain Bertrand , Alexander Leonessa , Jerry Pratt

We present a framework to generate periodic trajectory references for a 3D under-actuated bipedal robot, using a linear inverted pendulum (LIP) based controller with adaptive neural regulation. We use the LIP template model to estimate the…

Robotics · Computer Science 2022-08-04 Victor Paredes , Ayonga Hereid

Hamilton Jacobi (HJ) Reachability is a formal verification tool widely used in robotic safety analysis. Given a target set as unsafe states, a dynamical system is guaranteed not to enter the target under the worst-case disturbance if it…

Optimization and Control · Mathematics 2020-03-18 Anjian Li , Mo Chen

This paper studies bipedal locomotion as a nonlinear optimization problem based on continuous and discrete dynamics, by simultaneously optimizing the remaining step duration, the next step duration and the foot location to achieve…

Robotics · Computer Science 2018-05-08 Wenbin Hu , Iordanis Chatzinikolaidis , Kai Yuan , Zhibin Li

Stability guarantees are crucial when ensuring that a fully autonomous robot does not take undesirable or potentially harmful actions. We recently proposed the Neural Contractive Dynamical Systems (NCDS), which is a neural network…

Robotics · Computer Science 2025-09-12 Hadi Beik Mohammadi , Søren Hauberg , Georgios Arvanitidis , Gerhard Neumann , Leonel Rozo

In this article, we propose a deep learning framework that provides a unified approach to the problem of leg contact detection in humanoid robot walking gaits. Our formulation accomplishes to accurately and robustly estimate the contact…

Robotics · Computer Science 2022-08-02 Stylianos Piperakis , Michael Maravgakis , Dimitrios Kanoulas , Panos Trahanias

Sprawling locomotion in vertebrates, particularly salamanders, demonstrates how body undulation and spinal mobility enhance stability, maneuverability, and adaptability across complex terrains. While prior work has separately explored…

This paper studies input-to-state stability for hybrid systems with memory, which models hybrid dynamics affected by time delays. Using both Lyapunov-Razumikhin functions and Lyapunov-Krasovskii functionals, Lyapunov-based sufficient…

Systems and Control · Electrical Eng. & Systems 2022-02-01 Wei Ren , Junlin Xiong

Dynamic bipedal walking on discrete terrain, like stepping stones, is a challenging problem requiring feedback controllers to enforce safety-critical constraints. To enforce such constraints in real-world experiments, fast and accurate…

Robotics · Computer Science 2017-12-05 Avinash Siravuru , Allan Wang , Quan Nguyen , Koushil Sreenath

Motivated towards achieving multi-modal locomotion, in this paper, we develop a framework for a bipedal robot to dynamically ride a pair of Hovershoes over various terrain. Our developed control strategy enables the Cassie bipedal robot to…

Robotics · Computer Science 2019-09-24 Shuxiao Chen , Jonathan Rogers , Bike Zhang , Koushil Sreenath

Learning from demonstration provides a sample-efficient approach to acquiring complex behaviors, enabling robots to move robustly, compliantly, and with fluidity. In this context, Dynamic Motion Primitives offer built - in stability and…

Input-to-state stability (ISS) allows estimating the impact of inputs and initial conditions on both the intermediate values and the asymptotic bound on the solutions. ISS has unified the input-output and Lyapunov stability theories and is…

Optimization and Control · Mathematics 2023-02-02 Andrii Mironchenko

Recent work introduced the concept of human teleoperation (HT), where the remote robot typically considered in conventional bilateral teleoperation is replaced by a novice person wearing a mixed reality head mounted display and tracking the…

Robotics · Computer Science 2024-10-15 David Gregory Black , Septimiu Salcudean