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In this paper, we propose a nonlinear control strategy for swinging up a pendulum to its upright equilibrium position by shaping its swinging energy along with regulating the cart to a desired location. While the base of a usual cart-pole…

Robotics · Computer Science 2018-11-20 Nikhil Potu Surya Prakash

A spherical robot has many practical advantages as the entire electronics are protected within a hull and can be carried easily by any Unmanned Aerial Vehicle (UAV). However, its use is limited due to finding mounts for sensors. Pendulum…

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

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 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

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

The controlled motion of a rolling ball actuated by internal point masses that move along arbitrarily-shaped rails fixed within the ball is considered. The controlled equations of motion are solved numerically using a predictor-corrector…

Optimization and Control · Mathematics 2021-03-02 Vakhtang Putkaradze , Stuart Rogers

Time-delayed control in a balancing problem may be a nonsmooth function for a variety of reasons. In this paper we study a simple model of the control of an inverted pendulum by either a connected movable cart or an applied torque for which…

Dynamical Systems · Mathematics 2015-05-27 David J. W. Simpson , Rachel Kuske , Yue-Xian Li

The controlled motion of a rolling ball actuated by internal point masses that move along arbitrarily-shaped rails fixed within the ball is considered. Application of the variational Pontryagin's minimum principle yields the ball's…

Optimization and Control · Mathematics 2020-03-10 Vakhtang Putkaradze , Stuart Rogers

Two-wheeled inverted pendulum robots are designed for self-balancing and they have remarkable advantages. In this paper, a new configuration and consequently dynamic model of one specific robot is presented and its dynamic behavior is…

Dynamical Systems · Mathematics 2021-02-18 Amin Mehrvarz , Mohammad Javad Khodaei , William Clark , Nader Jalili

An asymmetric two-link robot supported atop a flat platform by wheels that roll and pivot freely, but do not slip laterally, will develop forward momentum if the joint between the links is actuated internally. In particular, oscillations in…

Robotics · Computer Science 2026-04-27 Hamidreza Moradi , Scott David Kelly

In this paper, we present a novel rolling, jumping robot. The robot consists of a driven pendulum mounted to a wheel in a compact, lightweight, 3D printed design. We show that by driving the pendulum to shift the robot's weight…

Robotics · Computer Science 2023-10-30 Jake Buzhardt , Prashanth Chivkula , Phanindra Tallapragada

In this article we design a backstepping control law based on geometric principles to swing up a spherical pendulum mounted on a moving quadrotor. The available degrees of freedom in the control vector also permit us to position the plane…

Systems and Control · Electrical Eng. & Systems 2021-07-23 Aradhana Nayak , Ravi Banavar , D. H. S Maithripala

A geometric form of Euler-Lagrange equations is developed for a chain pendulum, a serial connection of $n$ rigid links connected by spherical joints, that is attached to a rigid cart. The cart can translate in a horizontal plane acted on by…

Optimization and Control · Mathematics 2012-11-21 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

The motion control of wheeled mobile robots at high speeds under adverse ground conditions is a difficult task, since the robots' wheels may be subject to different kinds of slip. This work introduces an adaptive kinematic controller that…

Robotics · Computer Science 2024-02-19 Thiago B. Burghi , Juliano G. Iossaqui , Juan F. Camino

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

Motion control is essential for all autonomous mobile robots, and even more so for spherical robots. Due to the uniqueness of the spherical robot, its motion control must not only ensure accurate tracking of the target commands, but also…

Robotics · Computer Science 2023-10-20 Tao Hu , Xiaoqing Guan , Yixu Wang , Yifan Liu , Bixuan Zhang , Boyu Lin , You Wang , Guang Li

Dynamic behavior of a weightless rod with a point mass sliding along the rod axis according to periodic law is studied. This is the pendulum with periodically varying length which is also treated as a simple model of child's swing.…

Mathematical Physics · Physics 2015-05-14 Anton O. Belyakov , Alexander P. Seyranian

This study explores the dynamics of asymmetrical bounding gaits in quadrupedal robots, focusing on the integration of torso pitching and hip motion to enhance speed and stability. Traditional control strategies often enforce a fixed…

Robotics · Computer Science 2025-09-01 Jing Cheng , Yasser G. Alqaham , Zhenyu Gan
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