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This paper is devoted to the study of the dynamic optimization of several controlled crowd motion models in the general planar settings, which is an application of a class of optimal control problems involving a general nonconvex sweeping…

Optimization and Control · Mathematics 2025-01-20 Tan H. Cao , Nilson Chapagain , Haejoon Lee , Phung Ngoc Thi , Nguyen Nang Thieu

In order for a bimanual robot to manipulate an object that is held by both hands, it must construct motion plans such that the transformation between its end effectors remains fixed. This amounts to complicated nonlinear equality…

Robotics · Computer Science 2024-03-15 Thomas Cohn , Seiji Shaw , Max Simchowitz , Russ Tedrake

We present an iterative approach for planning and controlling motions of underactuated robots with uncertain dynamics. At its core, there is a learning process which estimates the perturbations induced by the model uncertainty on the active…

Motion planning is a fundamental problem in autonomous robotics that requires finding a path to a specified goal that avoids obstacles and takes into account a robot's limitations and constraints. It is often desirable for this path to also…

Robotics · Computer Science 2021-01-14 Jonathan D. Gammell , Marlin P. Strub

Planning and execution of agile locomotion maneuvers have been a longstanding challenge in legged robotics. It requires to derive motion plans and local feedback policies in real-time to handle the nonholonomy of the kinetic momenta. To…

Precise and flexible cart-pushing is a challenging task for mobile robots. The motion constraints during cart-pushing and the robot's redundancy lead to complex motion planning problems, while variable payloads and disturbances present…

Robotics · Computer Science 2026-03-31 Zhe Zhang , Peijia Xie , Yuhan Pang , Zhirui Sun , Bingyi Xia , Bi-Ke Zhu , Jiankun Wang

This work addresses the problem of kinematic trajectory planning for mobile manipulators with non-holonomic constraints, and holonomic operational-space tracking constraints. We obtain whole-body trajectories and time-varying kinematic…

Robotics · Computer Science 2018-01-17 Markus Giftthaler , Farbod Farshidian , Timothy Sandy , Lukas Stadelmann , Jonas Buchli

Recent advances in vision, language, and multimodal learning have substantially accelerated progress in robotic foundation models, with robot manipulation remaining a central and challenging problem. This survey examines robot manipulation…

We study motion planning algorithms for collision free control of multiple objects in the presence of moving obstacles. We compute the topological complexity of algorithms solving this problem. We apply topological tools and use information…

Optimization and Control · Mathematics 2007-05-23 Michael Farber , Mark Grant , Sergey Yuzvinsky

The control problem of the working tool movement along a predefined trajectory is considered. The integral of kinetic energy and weighted inertia forces for the whole period of motion is considered as a cost functional. The trajectory is…

Robotics · Computer Science 2020-07-06 B. G. Mukanova , M. A. Akhmetzhanov , D. N. Azimova

We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

Robotics · Computer Science 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

The goal of robust motion planning consists of designing open-loop controls which optimally steer a system to a specific target region while mitigating uncertainties and disturbances which affect the dynamics. Recently, stochastic optimal…

Optimization and Control · Mathematics 2023-03-03 Clara Leparoux , Riccardo Bonalli , Bruno Hérissé , Frédéric Jean

Motion planning for urban environments with numerous moving agents can be viewed as a combinatorial problem. With passing an obstacle before, after, right or left, there are multiple options an autonomous vehicle could choose to execute.…

Robotics · Computer Science 2022-07-12 Klemens Esterle , Patrick Hart , Julian Bernhard , Alois Knoll

When a large collection of objects (e.g., robots, sensors, etc.) has to be deployed in a given environment, it is often required to plan a coordinated motion of the objects from their initial position to a final configuration enjoying some…

Data Structures and Algorithms · Computer Science 2014-07-03 Davide Bilò Luciano Gualà , Stefano Leucci , Guido Proietti

We present a new method for motion planning for control systems. The method aims to provide a natural computational framework in which a broad class of motion planning problems can be cast; including problems with holonomic and…

Optimization and Control · Mathematics 2019-05-08 Shenyu Liu , Yinai Fan , Mohamed Ali Belabbas

The paper is mostly devoted to applications of a novel optimal control theory for perturbed sweeping/Moreau processes to two practical dynamical models. The first model addresses mobile robot dynamics with obstacles, and the second one…

Optimization and Control · Mathematics 2018-11-06 Giovanni Colombo , Boris S. Mordukhovich , Dao Nguyen

Amphibious robots, operating seamlessly across land and water, are advancing applications in conservation, disaster response, and defense. Their performance depends on locomotion mechanisms, actuation technologies, and sensor-control…

Robotics · Computer Science 2026-02-24 Yi Jin , Chang Liu , Roger D. Quinn , Robert J. Wood , C. Chase Cao

Moving in complex environments is an essential capability of intelligent mobile robots. Decades of research and engineering have been dedicated to developing sophisticated navigation systems to move mobile robots from one point to another.…

Robotics · Computer Science 2022-03-01 Xuesu Xiao , Bo Liu , Garrett Warnell , Peter Stone

The effectiveness of a robot manipulation to a large extent is determined by the speed of making this or that movement needed for carrying out the task. Accordingly to this the problem of optimal robot control is often subdivided into two…

Optimization and Control · Mathematics 2018-01-24 Oleg Malafeyev

The paper proposes a feed-forward control strategy for mobile robot control that accounts for a non-linear model of the vehicle with interaction between inputs and outputs. It is possible to include specific model uncertainties in the…

Robotics · Computer Science 2015-12-11 Ioan Dumitrache , Monica Dragoicea