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This paper presents tracking control laws for two different objectives of a nonholonomic system - a spherical robot - using a geometric approach. The first control law addresses orientation tracking using a modified trace potential…

Systems and Control · Computer Science 2016-12-15 Sneha Gajbhiye , Ravi N. Banavar

This paper introduces a simulation study of fluid actuated multi-driven closed system as spherical mobile robot called "RollRoller". Robot's mechanism design consists of two essential parts: tubes to lead a core and mechanical controlling…

Robotics · Computer Science 2016-10-21 Seyed Amir Tafrishi , Sandor M. Veres , Esmaeil Esmaeilzadeh , Mikhail Svinin

Spherical robots typically require at least two actuators to achieve controlled 2D planar motion. Here we present Rollbot, the first spherical robot capable of controllably maneuvering on a 2D plane with a single actuator, challenging this…

Robotics · Computer Science 2026-05-13 Jingxian Wang , Michael Rubenstein

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

Continuum robots possess high flexibility and redundancy, making them well suited for safe interaction in complex environments, yet their continuous deformation and nonlinear dynamics pose fundamental challenges to perception, modeling, and…

Robotics · Computer Science 2026-03-03 Peng Yu , Xin Wang , Ning Tan

Although the kinematics and dynamics of spherical robots (SRs) on flat horizontal and inclined 2D surfaces are thoroughly investigated, their rolling behavior on generic 3D terrains has remained unexplored. This paper derives the kinematics…

Robotics · Computer Science 2020-04-21 Saeed Moazami , Hassan Zargarzadeh , Srinivas Palanki

This article takes a step to provide humanoid robots with adaptive morphology abilities. We present a systematic approach for enabling robotic covers to morph their shape, with an overall size fitting the anthropometric dimensions of a…

Robotics · Computer Science 2022-07-06 Fabio Bergonti , Gabriele Nava , Luca Fiorio , Giuseppe L'Erario , Daniele Pucci

This paper aims to study a specific kind of parallel robot: Spherical Parallel Manipulators (SPM) that are capable of unlimited rolling. A focus is made on the kinematics of such mechanisms, especially taking into account uncertainties…

Robotics · Computer Science 2024-05-07 Alexandre Lê , Guillaume Rance , Fabrice Rouillier , Damien Chablat

We present the Hbot, a holonomic, singularity-free spherical robot designed for haptic simulations. The Hbot is made up of a caged sphere actuated by steered and driven non-holonomic wheels to produce continuous and unlimited spherical…

Robotics · Computer Science 2018-10-08 Wisdom C. Agboh

This paper introduces novel air actuated spherical robot called "RollRoller". The RollRoller robot consists of two essential parts: tubes covered with a shell as a frame and mechanical controlling parts to correspond movements. The…

Robotics · Computer Science 2016-10-20 Seyed Amir Tafrishi

Spherical robots have garnered increasing interest for their applications in exploration, tunnel inspection, and extraterrestrial missions. Diverse designs have emerged, including barycentric configurations, pendulum-based mechanisms, etc.…

Robotics · Computer Science 2023-10-04 Aminata Diouf , Bruno Belzile , Maarouf Saad , David St-Onge

This paper designs a new spherical robot structure capable of supporting high-speed motion at up to 10 m/s. Building upon a single-pendulum-driven spherical robot, the design incorporates a momentum wheel with an axis aligned with the…

Robotics · Computer Science 2025-11-04 Bixuan Zhang , Fengqi Zhang , Haojie Chen , You Wang , Jie Hao , Zhiyuan Luo , Guang Li

The paper deals with motion planning for a spin-rolling sphere when the sphere follows a straight path on a plane. Since the motion of the sphere is constrained by the straight line, the control of the sphere's spin motion is essential to…

Robotics · Computer Science 2021-11-17 Seyed Amir Tafrishi , Mikhail Svinin , Motoji Yamamoto , Yasuhisa Hirata

This work addresses the inverse kinematics of serial robots using conformal geometric algebra. Classical approaches include either the use of homogeneous matrices, which entails high computational cost and execution time or the development…

Robotics · Computer Science 2022-03-29 Isiah Zaplana , Hugo Hadfield , Joan Lasenby

This paper investigates the possibility of the motion control of a ball with a pendulum mechanism with non-holonomic constraints using gaits - the simplest motions such as acceleration and deceleration during the motion in a straight line,…

Dynamical Systems · Mathematics 2021-09-28 Tatyana B. Ivanova , Elena N. Pivovarova

In this paper we exploit some interesting properties of a class of bipedal robots which have an inertial disc. One of this properties is the ability to control every position and speed except for the disc position. The proposed control is…

Optimization and Control · Mathematics 2016-06-01 Carlos Eduardo de Brito Novaes , Paulo Sergio Pereira da Silva , Pierre Rouchon

Spherical robots can conduct surveillance in hostile, cluttered environments without being damaged, as their protective shell can safely house sensors such as cameras. However, lateral oscillations, also known as wobble, occur when these…

Robotics · Computer Science 2023-01-18 Animesh Singhal , Sahil Modi , Abhishek Gupta , Leena Vachhani

This paper applies geometric PID control for asymptotic tracking of a desired trajectory by a hoop robot in the presence of disturbances and uncertainties. The hoop robot, consisting of a circular body rolling without slip along a…

Optimization and Control · Mathematics 2017-02-28 T. W. U. Madhushani , D. H. S. Maithripala , J. M. Berg

These lectures demonstrate the development of a PID control framework for mechanical systems. Based on the observation that mechanical systems are essentially double integrator systems, we generalize the linear PID controller to mechanical…

Optimization and Control · Mathematics 2016-10-17 D. H. S. Maithripala , T. W. U. Madhushani , J. M. Berg

In this paper we present a geometric control law for position and line-of-sight stabilization of the nonholonomic spherical robot actuated by three independent actuators. A simple configuration error function with an appropriately defined…

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