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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 article dives into the use of a 3-RRR Spherical Parallel Manipulator (SPM) for the purpose of inertial Line Of Sight (LOS) stabilization. Such a parallel robot provides three Degrees of Freedom (DOF) in orientation and is studied from…

Robotics · Computer Science 2024-01-03 Alexandre Le , Guillaume Rance , Fabrice Rouillier , Damien Chablat

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

In this paper, we present a new leader-follower type solution to the formation maneuvering problem for multiple, nonholonomic wheeled mobile robots. The solution is based on the graph that models the coordination among the robots being a…

Robotics · Computer Science 2018-12-07 Milad Khaledyan , Marcio de Queiroz

This technical note aims to introduce geometric controllers to roboticists for aligning \emph{3D robots} with non-constant 3D vector fields. This alignment entails the control of the robot's 3D attitude. We derive with excessive detail all…

Robotics · Computer Science 2024-06-24 Jesus Bautista , Hector Garcia de Marina

Spherical robot is a nonlinear, nonholonomic and unstable system which increases the difficulty of the direction and trajectory tracking problem. In this study, we propose a new direction controller HTSMC, an instruction planning controller…

Robotics · Computer Science 2024-10-28 Yifan Liu , Yixu Wang , Xiaoqing Guan , Tao Hu , Ziang Zhang , Song Jin , You Wang , Jie Hao , Guang Li

The single wheel, gyroscopically stabilized robot - Gyrover, is a dynamically stable but statically unstable, underactuated system. In this paper, based on the dynamic model of the robot, we investigate two classes of nonholonomic…

Robotics · Computer Science 2007-05-23 Yongsheng Ou , Yangsheng Xu

The problem of regulation of the orientation angle of a remotely controlled differential-drive mobile robot with actuator dynamics and network-induced delays is studied. Using a preinstalled two-layer nonlinear control scheme that decouples…

Systems and Control · Electrical Eng. & Systems 2025-10-08 Nikolaos D. Kouvakas , Fotis N. Koumboulis , Konstantinos G. Tzierakis , John Sigalas , Anastasios Dimakakos

This paper proposes an adaptive modular geometric control framework for robotic manipulators. The proposed methodology decomposes the overall manipulator dynamics into individual modules, enabling the design of local geometric control laws…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Mahdi Hejrati , Amir Hossein Barjini , Gokhan Alcan , Jouni Mattila

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

This paper presents a control methodology for achieving orbital stabilization with simultaneous time synchronization of periodic trajectories in underactuated robotic systems. The proposed approach extends the classical transverse…

Robotics · Computer Science 2025-09-25 Surov Maksim

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

We give a geometric account of kinematic control of a spherical rolling robot controlled by two internal wheels just like the toy robot Sphero. Particularly, we introduce the notion of shape space and fibers to the system by exploiting its…

Optimization and Control · Mathematics 2019-08-14 Tomoki Ohsawa

The linearization of the equations of motion of a robotics system about a given state-input trajectory, including a controlled equilibrium state, is a valuable tool for model-based planning, closed-loop control, gain tuning, and state…

Robotics · Computer Science 2022-04-20 Martijn Bos , Silvio Traversaro , Daniele Pucci , Alessandro Saccon

In the formation control problem for autonomous robots a distributed control law steers the robots to the desired target formation. A local stability result of the target formation can be derived by methods of linearization and center…

Optimization and Control · Mathematics 2010-01-26 Florian Dorfler , Bruce Francis

This paper aims for a controller that can stabilize a position-controlled humanoid robot when standing still or walking on synthetic grass even when subjected to external disturbances. Two types of controllers are designed and implemented:…

This paper presents a theoretical framework for analyzing the stability of higher-order geometric nonlinear control laws for attitude control on the Special Orthogonal Group $\mathrm{SO(3)}$. In particular, the paper extends existing…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Farooq Aslam , Hafiz Zeeshan Iqbal Khan , Muhammad Farooq Haydar , Suhail Akhtar , Jamshed Riaz

The approximate nonlinear receding-horizon control law is used to treat the trajectory tracking control problem of rigid link robot manipulators. The derived nonlinear predictive law uses a quadratic performance index of the predicted…

Robotics · Computer Science 2007-05-23 R. Hedjar , P. Boucher

The work show in this paper progresses through a sequence of physics-based increasing fidelity models that are used to design the robot controllers that respect the limits of the robot capabilities, develop a reference simple controller…

Robotics · Computer Science 2023-01-24 Younes El koudia , Jarou Tarik , Abdouni Jawad , Sofia El Idrissi , Elmahdi Nasri

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
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