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This paper focuses on coordinating a robot swarm orbiting a convex path without collisions among the individuals. The individual robots lack braking capabilities and can only adjust their courses while maintaining their constant but…

Robotics · Computer Science 2024-02-22 Jesús Bautista , Héctor García de Marina

This paper investigates the control problem of steering a group of spherical mobile robots to cooperatively transport a spherical object. By controlling the movements of the robots to exert appropriate contact (pushing) forces, it is…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Si Wu , Zhengyan Qin , Tengfei Liu , Zhong-Ping Jiang

This paper formulates optimal control problems for rigid bodies in a geometric manner and it presents computational procedures based on this geometric formulation for numerically solving these optimal control problems. The dynamics of each…

Optimization and Control · Mathematics 2008-05-07 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

Control barrier functions have been demonstrated to be a useful method of ensuring constraint satisfaction for a wide class of controllers, however existing results are mostly restricted to continuous time systems of relative degree one.…

Robotics · Computer Science 2019-03-26 Wenceslao Shaw Cortez , Denny Oetomo , Chris Manzie , Peter Choong

This paper aims to develop distributed feedback control algorithms that allow cooperative locomotion of quadrupedal robots which are coupled to each other by holonomic constraints. These constraints can arise from collaborative manipulation…

Optimization and Control · Mathematics 2019-10-03 Kaveh Akbari Hamed , Vinay R. Kamidi , Abhishek Pandala , Wen-Loong Ma , Aaron D. Ames

This letter investigates the motion control problem of two mobile robots under allowable collisions. Here, the allowable collisions mean that the collisions do not damage the mobile robots. The occurrence of the collisions is discussed and…

Robotics · Computer Science 2024-04-29 Li Tan , Wei Ren , Xi-Ming Sun , Junlin Xiong

To be applicable to real world scenarios trajectory planning schemes for mobile autonomous systems must be able to efficiently deal with obstacles in the area of operation. In the context of optimization based trajectory planning and…

Optimization and Control · Mathematics 2021-04-27 Max Lutz , Thomas Meurer

This paper studies the collision avoidance problem for autonomous multiple fixedwing UAVs in the complex integrated airspace. By studying and combining the online path planning method, the distributed model predictive control algorithm, and…

Robotics · Computer Science 2020-06-01 Yajing Wang , Xiangke Wang , Shulong Zhao , Lincheng Shen

This paper studies the problem of controlling a multi-robot system to achieve a polygon formation in a self-organized manner. Different from the typical formation control strategies where robots are steered to satisfy the predefined control…

Robotics · Computer Science 2023-04-04 Qingkai Yang , Fan Xiao , Jingshuo Lyu , Bo Zhou , Hao Fang

This paper provides new results for a tracking control of the attitude dynamics of a rigid body. Both of the attitude dynamics and the proposed control system are globally expressed on the special orthogonal group, to avoid complexities and…

Optimization and Control · Mathematics 2010-10-11 Taeyoung Lee

Many cell functions require a concerted effort from multiple membrane proteins, for example, for signaling, cell division, and endocytosis. One contribution to their successful self-organization stems from the membrane deformations that…

Soft Condensed Matter · Physics 2023-06-21 Ali Azadbakht , Billie Meadowcroft , Juraj Májek , Anđela Šarić , Daniela J. Kraft

This paper addresses the problem of navigation control of a general class of uncertain nonlinear multi-agent systems in a bounded workspace of $\mathbb{R}^n$ with static obstacles. In particular, we propose a decentralized control protocol…

Systems and Control · Computer Science 2019-09-05 Alexandros Filotheou , Alexandros Nikou , Dimos V. Dimarogonas

This paper investigates a distributed formation control problem for networked robots, with the global objective of achieving predefined time-varying formations in an environment with obstacles. A novel fixed-time behavioral approach is…

Optimization and Control · Mathematics 2020-08-19 Ning Zhou , Xiaodong Cheng , Yuanqing Xia , Yanjun Liu

This paper presents global tracking strategies for the attitude dynamics of a rigid body. It is well known that global attractivity is prohibited for continuous attitude control systems on the special orthogonal group. Such topological…

Optimization and Control · Mathematics 2017-08-28 Taeyoung Lee , Dong-Eui Chang , Yongsoon Eun

A spherical robot consists of an externally spherical rigid body rolling on a two-dimensional surface, actuated by an auxiliary mechanism. For a class of actuation mechanisms, we derive a controller for the geometric center of the sphere to…

Optimization and Control · Mathematics 2020-04-14 T. W. U. Madhushani , D. H. S. Maithripala , J. V. Wijayakulasooriya , J. M. Berg

We present a novel algorithm for collision-free kinematics of multiple manipulators in a shared workspace with moving obstacles. Our optimization-based approach simultaneously handles collision-free constraints based on reciprocal velocity…

Robotics · Computer Science 2019-03-12 Liangliang Zhao , Jingdong Zhao , Hong Liu , Dinesh Manocha

We introduce a modeling framework for manipulation planning based on the formulation of the dynamics as a projected dynamical system. This method uses implicit signed distance functions and their gradients to formulate an equivalent…

Optimization and Control · Mathematics 2025-01-22 Anton Pozharskiy , Armin Nurkanović , Moritz Diehl

We consider the problem of cooperative intersection management. It arises in automated transportation systems for people or goods but also in multi-robots environment. Therefore many solutions have been proposed to avoid collisions. The…

Systems and Control · Computer Science 2013-10-30 Jean Gregoire , Silvère Bonnabel , Arnaud de La Fortelle

This article addresses obstacle avoidance motion planning for autonomous vehicles, specifically focusing on highway overtaking maneuvers. The control design challenge is handled by considering a mathematical vehicle model that captures both…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Gianni Cario , Valentino Carriuolo , Alessandro Casavola , Gianfranco Gagliardi , Marco Lupia , Franco Angelo Torchiaro

This paper investigates a fully distributed cooperation scheme for networked mobile manipulators. To achieve cooperative task allocation in a distributed way, an adaptation-based estimation law is established for each robotic agent to…

Robotics · Computer Science 2020-01-31 Yi Ren , Sandra Hirche