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During learning trials, systems are exposed to different failure conditions which may break robotic parts before a safe behavior is discovered. Humans contour this problem by grounding their learning to a safer structure/control first and…

Robotics · Computer Science 2021-04-06 Keyan Zhai , Chu'an Li , Andre Rosendo

A new method is developed for solving optimal control problems whose solutions are nonsmooth. The method developed in this paper employs a modified form of the Legendre-Gauss-Radau orthogonal direct collocation method. This modified…

Optimization and Control · Mathematics 2020-11-10 Joseph D. Eide , William W. Hager , Anil V. Rao

This paper presents a modular approach to motion planning with provable stability guarantees for robots that move through changing environments via periodic locomotion behaviors. We focus on dynamic walkers as a paradigm for such systems,…

Robotics · Computer Science 2023-08-15 Kunal Sanjay Narkhede , Mohamad Shafiee Motahar , Sushant Veer , Ioannis Poulakakis

Dynamic maneuvers for legged robots present a difficult challenge due to the complex dynamics and contact constraints. This paper introduces a versatile trajectory optimization framework for continuous-time multi-phase problems. We…

Robotics · Computer Science 2024-09-20 Ethan Chandler , Akshay Jaitly , Mahdi Agheli

Generation of robust trajectories for legged robots remains a challenging task due to the underlying nonlinear, hybrid and intrinsically unstable dynamics which needs to be stabilized through limited contact forces. Furthermore,…

Robotics · Computer Science 2022-09-21 Ahmad Gazar , Majid Khadiv , Sébastien Kleff , Andrea Del Prete , Ludovic Righetti

Generating feasible robot motions in real-time requires achieving multiple tasks (i.e., kinematic requirements) simultaneously. These tasks can have a specific goal, a range of equally valid goals, or a range of acceptable goals with a…

Robotics · Computer Science 2023-02-28 Yeping Wang , Pragathi Praveena , Daniel Rakita , Michael Gleicher

Pedestrian egress from training schools in the after-class period (especially in China, as children walk down stairs together with their parents) raises practical concerns related to degraded flow conditions and possible safety hazards, but…

Physics and Society · Physics 2023-02-15 Chuan-Zhi Xie , Tie-Qiao Tang , Bo-Tao Zhang , Alexandre Nicolas

In this paper, we improve upon a method for optimal control of quadrupedal robots which utilizes a full-order model of the system. The original method utilizes offline nonlinear optimal control to synthesize a control scheme which…

Systems and Control · Electrical Eng. & Systems 2024-04-08 Mads Erlend Bøe Lysø , Esten Ingar Grøtli , Kristin Ytterstad Pettersen

Walking controllers often require parametrization which must be tuned according to some cost function. To estimate these parameters, simulations can be performed which are cheap but do not fully represent reality. Real-robot experiments, on…

Robotics · Computer Science 2018-09-17 Diego Rodriguez , André Brandenburger , Sven Behnke

This paper generalizes a previously-conceived, continuation-based optimization technique for scalar objective functions on constraint manifolds to cases of periodic and quasiperiodic solutions of delay-differential equations. A Lagrange…

Dynamical Systems · Mathematics 2022-09-27 Zaid Ahsan , Harry Dankowicz , Jan Sieber

An enabling technology for future sea transports is safe and energy-efficient autonomous maritime navigation in narrow environments with other marine vessels present. This requires that the algorithm controlling the ship is able to account…

Optimization and Control · Mathematics 2021-01-29 Kristoffer Bergman , Oskar Ljungqvist , Jonas Linder , Daniel Axehill

Locomotion gaits are fundamental for control of soft terrestrial robots. However, synthesis of these gaits is challenging due to modeling of robot-environment interaction and lack of a mathematical framework. This work presents an…

Robotics · Computer Science 2025-03-11 Caitlin Freeman , Arun Niddish Mahendran , Vishesh Vikas

Many theoretical and experimental studies have used heuristic methods to investigate the dynamic behaviour of the passive coupling of adjacent structures. However, few papers have used optimization techniques with guaranteed convergence in…

Optimization and Control · Mathematics 2015-11-09 K. Bigdeli , W. Hare , J. Nutini , S. Tesfamariam

A hopping leg, no matter in legged animals or humans, usually behaves like a spring during the periodic hopping. Hopping like a spring is efficient and without the requirement of complicated control algorithms. Position and force control…

Robotics · Computer Science 2021-08-02 Juntong Su , Bingchen Jin , Shusheng Ye , Lecheng Ruan , Caiming Sun , Ning Ding , Yili Fu , Jianwen Luo

Human mobility, enabled by diverse transportation modes, is fundamental to urban functionality. Studying these movements across scales-from microscopic to macroscopic-yields valuable insights into urban dynamics. Local adaptation and…

Disordered Systems and Neural Networks · Physics 2026-05-21 Babak Benam , Abolfazl Ramezanpour

Optimization fabrics are a geometric approach to real-time local motion generation, where motions are designed by the composition of several differential equations that exhibit a desired motion behavior. We generalize this framework to…

Robotics · Computer Science 2023-03-09 Max Spahn , Martijn Wisse , Javier Alonso-Mora

Gaits and transitions are key components in legged locomotion. For legged robots, describing and reproducing gaits as well as transitions remain longstanding challenges. Reinforcement learning has become a powerful tool to formulate…

Robotics · Computer Science 2022-01-04 Yecheng Shao , Yongbin Jin , Xianwei Liu , Weiyan He , Hongtao Wang , Wei Yang

A general method to describe stochastic dynamics of Markov processes is suggested. The method aims to solve three related problems. The determination of an optimal coordinate for the description of stochastic dynamics. The reconstruction of…

Chemical Physics · Physics 2013-12-25 Sergei V. Krivov

The adaptability of soft robots makes them ideal candidates to maneuver through unstructured environments. However, locomotion challenges arise due to complexities in modeling the body mechanics, actuation, and robot-environment dynamics.…

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
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