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In contact-rich tasks, setting the stiffness of the control system is a critical factor in its performance. Although the setting range can be extended by making the stiffness matrix asymmetric, its stability has not been proven. This study…

Robotics · Computer Science 2026-03-19 Toshiaki Tsuji , Yasuhiro Kato

Ensuring symmetric stiffness in impedance-controlled robots is crucial for physically meaningful and stable interaction in contact-rich manipulation. Conventional approaches neglect the change of basis vectors in curved spaces, leading to…

Robotics · Computer Science 2025-03-11 Johannes Lachner , Moses C. Nah , Neville Hogan

We introduce the concept of a control contraction metric, extending contraction analysis to constructive nonlinear control design. We derive sufficient conditions for exponential stabilizability of all trajectories of a nonlinear control…

Systems and Control · Computer Science 2017-02-09 Ian R. Manchester , Jean-Jacques E. Slotine

Continuum robots have gained widespread popularity due to their inherent compliance and flexibility, particularly their adjustable levels of stiffness for various application scenarios. Despite efforts to dynamic modeling and control…

Robotics · Computer Science 2024-09-17 Bowen Yi , Yeman Fan , Dikai Liu , Jose Guadalupe Romero

In the article$^a$, the authors introduced a time-varying Lyapunov function for the stability analysis of nonlinear systems whose motion is governed by standard Newton-Euler equations. The authors established asymptotic stability with the…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Lekan Molu

The paper focuses on the stiffness modeling of parallel manipulators composed of non-perfect serial chains, whose geometrical parameters differ from the nominal ones. In these manipulators, there usually exist essential internal…

Robotics · Computer Science 2012-11-27 Alexandr Klimchik , Anatol Pashkevich , Damien Chablat

In this paper, we present a novel integrated method for designing nonlinear stiffness systems based on a general spring-boundary model (GSBM) to study the number of mechanical configurations for nonlinear stiffness systems designed by the…

Dynamical Systems · Mathematics 2023-09-07 Qiangqiang Li , Qingjie Cao

This paper presents an interaction control algorithm for a dielectric elastomer membrane actuator. The proposed method permits efficient exploitation of the controllable stiffness of the material, allowing to use the membrane as a…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Gianluca Rizzello , Francesco Ferrante , David Naso , Stefan Seelecke

The paper focuses on the stiffness modeling of a new type of compliant manipulator and its non-linear behavior while interacting with the environment. The manipulator under study is a serial mechanical structure composed of dualtriangle…

Robotics · Computer Science 2021-08-03 Wanda Zhao , Anatol Pashkevich , Damien Chablat

Exotic behaviour of mechanical metamaterials often relies on an internal transformation of the underlying microstructure triggered by its local instabilities, rearrangements, and rotations. Depending on the presence and magnitude of such a…

Soft Condensed Matter · Physics 2020-04-16 Ondřej Rokoš , Jan Zeman , Martin Doškář , Petr Krysl

The design of physical compliance -- its location, degree, and structure -- affects robot performance and robustness in contact-rich tasks. While compliance is often used in the robot's joints, flange, or end-effector, this paper proposes…

Robotics · Computer Science 2022-03-15 Richard Hartisch , Kevin Haninger

Although autonomous control of robotic manipulators has been studied for several decades, they are not commonly used in safety-critical applications due to lack of safety and performance guarantees - many of them concerning the modulation…

Robotics · Computer Science 2020-04-22 Lasitha Wijayarathne , Frank L. Hammond

The paper focuses on the enhanced stiffness modeling of robotic manipulators by taking into account influence of the external force/torque acting upon the end point. It implements the virtual joint technique that describes the compliance of…

Robotics · Computer Science 2009-12-09 Anatoly Pashkevich , Alexandr Klimchik , Damien Chablat

Antagonistic artificial muscles can decouple joint torque and stiffness, but contact transients often degrade this independence. We present a unified real-time framework applicable across pneumatic, electrohydraulic, and dielectric…

Robotics · Computer Science 2026-04-07 Amirhossein Kazemipour , Robert K. Katzschmann

Mechanical compliance is a key design parameter for dynamic contact-rich manipulation, affecting task success and safety robustness over contact geometry variation. Design of soft robotic structures, such as compliant fingers, requires…

Robotics · Computer Science 2025-09-15 Richard Matthias Hartisch , Alexander Rother , Jörg Krüger , Kevin Haninger

Recently, several approaches have attempted to combine motion generation and control in one loop to equip robots with reactive behaviors, that cannot be achieved with traditional time-indexed tracking controllers. These approaches however…

Robotics · Computer Science 2023-09-28 Youssef Michel , Matteo Saveriano , Fares J. Abu-Dakka , Dongheui Lee

Matrix stiffness expressions are derived for the particle movements in an assembly of rigid granules having compliant contacts. The derivations include stiffness terms that arise from the particle shapes at their contacts. These geometric…

Soft Condensed Matter · Physics 2019-01-23 Matthew R. Kuhn , Ching S. Chang

In this series of papers, we present a motion planning framework for planning comfortable and customizable motion of nonholonomic mobile robots such as intelligent wheelchairs and autonomous cars. In Part I, we presented the mathematical…

Robotics · Computer Science 2013-05-23 Shilpa Gulati , Chetan Jhurani , Benjamin Kuipers

Digital stiffness programmability is fulfilled with a heterogeneous mechanical metamaterial. The prototype consists of an elastomer matrix containing tessellations of diamond shaped cavities selectively confined with semi-rigid plastic beam…

Soft Condensed Matter · Physics 2021-08-13 H. Tao , F. Danzi , C. E. Silva , J. M. Gibert

Underactuated robots are characterized by a larger number of degrees of freedom than actuators and if they are designed with a specific mass distribution, they can be controlled by means of differential flatness theory. This structural…

Robotics · Computer Science 2026-04-21 Stefano Lovato , Michele Tonan , Matteo Bottin , Matteo Massaro , Alberto Doria , Giulio Rosati
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