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Simulation of contact and friction dynamics is an important basis for control- and learning-based algorithms. However, the numerical difficulties of contact interactions pose a challenge for robust and efficient simulators. A…

Robotics · Computer Science 2021-09-16 Jan Brüdigam , Jana Janeva , Stefan Sosnowski , Sandra Hirche

This paper reviews the attitude control problems for rigid-body systems, starting from the attitude representation for rigid body kinematics. Highly redundant rotation matrix defines the attitude orientation globally and uniquely by 9…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Hongye Su , Dandan Zhang

Quantum tracking control aims to identify applied fields to steer the expectation values of particular observables along desired paths in time. The associated temporal fields can be identified by inverting the underlying dynamical equations…

Quantum Physics · Physics 2018-10-31 Alicia Magann , Tak-San Ho , Herschel Rabitz

In this paper, a robust control solution for a satellite equipped with a robotic manipulator is presented. First, the dynamic model of the system is derived based on quaternions to describe the evolution of the attitude of the base…

Systems and Control · Electrical Eng. & Systems 2023-06-30 Jacopo Giordano , Angelo Cenedese

In this work we present a whole-body Nonlinear Model Predictive Control approach for Rigid Body Systems subject to contacts. We use a full dynamic system model which also includes explicit contact dynamics. Therefore, contact locations,…

This paper extends sliding-mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well-defined vector fields on quotient…

Optimization and Control · Mathematics 2025-09-17 Fernando Castaños

We investigate the superintegrability of rigid body rotors coupled to planar systems. In particular, we study the isotropic harmonic oscillator in two dimensions, with its (central) force acting on the rotor's center of mass constrained to…

Mathematical Physics · Physics 2026-01-30 D. Latini

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

We propose a robotic manipulation system that can pivot objects on a surface using vision, wrist force and tactile sensing. We aim to control the rotation of an object around the grip point of a parallel gripper by allowing rotational slip,…

Robotics · Computer Science 2023-10-09 Shiyu Xu , Tianyuan Liu , Michael Wong , Dana Kulić , Akansel Cosgun

This article presents a motion planning and control framework for flexible robotic manipulators, integrating deep reinforcement learning (DRL) with a nonlinear partial differential equation (PDE) controller. Unlike conventional approaches…

Robotics · Computer Science 2025-06-11 Amir Hossein Barjini , Seyed Adel Alizadeh Kolagar , Sadeq Yaqubi , Jouni Mattila

We introduce a new class of attitude control laws for rotational systems; the proposed framework generalizes the use of the Euler \mbox{axis--angle} representation beyond quaternion-based formulations. Using basic Lyapunov stability theory…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Francisco M. F. R. Gonçalves , Ryan M. Bena , Néstor O. Pérez-Arancibia

Soft actuators offer compliant and safe interaction with an unstructured environment compared to their rigid counterparts. However, control of these systems is often challenging because they are inherently under-actuated, have infinite…

Robotics · Computer Science 2024-02-06 Sean Even , Tongjia Zheng , Hai Lin , Yasemin Ozkan-Aydin

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive feedback laws such that the origin of the closed-loop system…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

This paper presents a model-based, adaptive, nonlinear controller for the bicopter stabilization and trajectory-tracking problem. The nonlinear controller is designed using the backstepping technique. Due to the non-invertibility of the…

Optimization and Control · Mathematics 2024-02-07 Jhon Manuel Portella Delgado , Mohammad Mirtaba , Ankit Goel

This paper presents a geometric input-output analysis of hidden modes in distance-based formation control. We study the linearized dynamics under a gradient control law to characterize the system's structural limitations and their dynamic…

Optimization and Control · Mathematics 2025-11-18 Solomon Goldgraber Casspi , Daniel Zelazo

This work develops a control-centric framework for a custom 4-DOF rigid-body manipulator by coupling a reduced-order Pontryagin's Maximum Principle (PMP) controller with a physics-informed Gradient Descent stage. The reduced PMP model…

Robotics · Computer Science 2025-12-15 Brock Marcinczyk , Logan E. Beaver

Model-based manipulation of deformable objects has traditionally dealt with objects while neglecting their dynamics, thus mostly focusing on very lightweight objects at steady state. At the same time, soft robotic research has made…

Robotics · Computer Science 2025-10-21 Sebastien Tiburzio , Tomás Coleman , Daniel Feliu-Talegon , Cosimo Della Santina

In this paper, we consider a geometric formalism for optimal control of underactuated mechanical systems. Our techniques are an adaptation of the classical Skinner and Rusk approach for the case of Lagrangian dynamics with higher-order…

Mathematical Physics · Physics 2015-05-14 L. Colombo , D. Martin de Diego , M. Zuccalli

This paper deals with the robust force and position control problems of Series Elastic Actuators. It is shown that a Series Elastic Actuator's force control problem can be described by a second-order dynamic model which suffers from only…

Robotics · Computer Science 2019-03-14 Emre Sariyildiz , Rahim Mutlu , Haoyong Yu

Mechanical systems are often characterized only by their response to certain loads known from experiments or simulations. The obtained data can be used for various purposes: system analysis, design of mathematical models, or construction of…

Dynamical Systems · Mathematics 2026-01-05 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner
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