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This paper presents a framework for fast and robust motion planning designed to facilitate automated driving. The framework allows for real-time computation even for horizons of several hundred meters and thus enabling automated driving in…

Robotics · Computer Science 2019-02-26 Zlatan Ajanovic , Bakir Lacevic , Barys Shyrokau , Michael Stolz , Martin Horn

This paper aims to develop a hierarchical nonlinear control algorithm, based on model predictive control (MPC), quadratic programming (QP), and virtual constraints, to generate and stabilize locomotion patterns in a real-time manner for…

Robotics · Computer Science 2020-04-16 Kaveh Akbari Hamed , Jeeseop Kim , Abhishek Pandala

Whole-body optimizers have been successful at automatically computing complex dynamic locomotion behaviors. However they are often limited to offline planning as they are computationally too expensive to replan with a high frequency.…

Robotics · Computer Science 2020-11-06 Julian Viereck , Ludovic Righetti

Natural terrain complexity often necessitates agile movements like jumping in animals to improve traversal efficiency. To enable similar capabilities in quadruped robots, complex real-time jumping maneuvers are required. Current research…

This work considers a Motion Planning Problem with Dynamic Obstacles (MPDO) in 2D that requires finding a minimum-arrival-time collision-free trajectory for a point robot between its start and goal locations amid dynamic obstacles moving…

Robotics · Computer Science 2022-06-03 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

Optimization and Control · Mathematics 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

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

The hybrid zero dynamics (HZD) approach has become a powerful tool for the gait planning and control of bipedal robots. This paper aims to extend the HZD methods to address walking, ambling and trotting behaviors on a quadrupedal robot. We…

Robotics · Computer Science 2019-09-19 Wen-Loong Ma , Kaveh Akbari Hamed , Aaron D. Ames

Quadrupedal wheeled-legged robots combine the advantages of legged and wheeled locomotion to achieve superior mobility, but executing dynamic jumps remains a significant challenge due to the additional degrees of freedom introduced by…

Robotics · Computer Science 2026-02-26 Xuanqi Zeng , Lingwei Zhang , Linzhu Yue , Zhitao Song , Hongbo Zhang , Tianlin Zhang , Yun-Hui Liu

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

Systems and Control · Computer Science 2016-03-10 Jung-Su Ha , Han-Lim Choi

This paper presents a curriculum-based reinforcement learning framework for training precise and high-performance jumping policies for the robot `Olympus'. Separate policies are developed for vertical and horizontal jumps, leveraging a…

Robotics · Computer Science 2025-10-29 Jørgen Anker Olsen , Lars Rønhaug Pettersen , Kostas Alexis

Trajectory optimization methods for motion planning attempt to generate trajectories that minimize a suitable objective function. Such methods efficiently find solutions even for high degree-of-freedom robots. However, a globally optimal…

Robotics · Computer Science 2019-07-18 Luka Petrović , Juraj Peršić , Marija Seder , Ivan Marković

Legged robot locomotion requires the planning of stable reference trajectories, especially while traversing uneven terrain. The proposed trajectory optimization framework is capable of generating dynamically stable base and footstep…

Robotics · Computer Science 2021-03-24 Oguzhan Cebe , Carlo Tiseo , Guiyang Xin , Hsiu-chin Lin , Joshua Smith , Michael Mistry

We present an efficient algorithm for motion planning and control of a robot system with a high number of degrees-of-freedom. These include high-DOF soft robots or an articulated robot interacting with a deformable environment. Our approach…

Robotics · Computer Science 2018-10-08 Biao Jia , Zherong Pan , Dinesh Manocha

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

To control how a robot moves, motion planning algorithms must compute paths in high-dimensional state spaces while accounting for physical constraints related to motors and joints, generating smooth and stable motions, avoiding obstacles,…

This paper studies real-time motion planning and control for ball bumping motion with quadruped robots. To enable the quadruped to bump the flying ball with different initializations, we develop a nonlinear trajectory optimization-based…

Robotics · Computer Science 2022-10-12 Qiayuan Liao , Zhefeng Cao , Hua Chen , Wei Zhang

High-speed legged navigation in discrete and geometrically complex environments is a challenging task because of the high-degree-of-freedom dynamics and long-horizon, nonconvex nature of the optimization problem. In this work, we propose a…

Robotics · Computer Science 2025-06-04 Hyeongjun Kim , Hyunsik Oh , Jeongsoo Park , Yunho Kim , Donghoon Youm , Moonkyu Jung , Minho Lee , Jemin Hwangbo

Specialized motions such as jumping are often achieved on quadruped robots by solving a trajectory optimization problem once and executing the trajectory using a tracking controller. This approach is in parallel with Model Predictive…

Robotics · Computer Science 2022-09-29 He Li , Tingnan Zhang , Wenhao Yu , Patrick M. Wensing

We present a modular framework for solving a motion planning problem among a group of robots. The proposed framework utilizes a finite set of low level motion primitives to generate motions in a gridded workspace. The constraints on…

Robotics · Computer Science 2025-10-20 Marijan Vukosavljev , Zachary Kroeze , Angela P. Schoellig , Mireille E. Broucke