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In this article, we present an extension of the formulation recently developed by the authors (A Framework for Data-Driven Computational Mechanics Based on Nonlinear Optimization, arXiv:1910.12736 [math.NA]) to the structural dynamics…

Numerical Analysis · Mathematics 2019-12-25 Cristian Guillermo Gebhardt , Marc Christian Steinbach , Dominik Schillinger , Raimund Rolfes

This work developed collaborative bimanual manipulation for reliable and safe human-robot collaboration, which allows remote and local human operators to work interactively for bimanual tasks. We proposed an optimal motion adaptation to…

Robotics · Computer Science 2023-07-19 Ruoshi Wen , Quentin Rouxel , Michael Mistry , Zhibin Li , Carlo Tiseo

Continuum robots enable dexterous manipulation in constrained environments, but require accurate and efficient models for real-time manipulation and control. Traditional physics-based models can be computationally expensive and may suffer…

Robotics · Computer Science 2026-05-20 Branden Frieden , James M. Ferguson , Alan Kuntz , Varun Shankar

Dynamical systems can be used to model a broad class of physical processes, and conservation laws give rise to system properties like passivity or port-Hamiltonian structure. An important problem in practical applications is to steer…

Optimization and Control · Mathematics 2025-10-29 Tobias Breiten , Attila Karsai

This paper presents a model-free adaptive control approach to suppress vibrations in a cantilevered beam excited by an unknown disturbance. The cantilevered beam under harmonic excitation is modeled using a lumped parameter approach. Based…

Systems and Control · Electrical Eng. & Systems 2026-01-12 Juan Augusto Paredes Salazar , Ankit Goel

In this paper we present a new approach for dynamic motion planning for legged robots. We formulate a trajectory optimization problem based on a compact form of the robot dynamics. Such a form is obtained by projecting the rigid body…

Robotics · Computer Science 2015-10-07 Diego Pardo , Michael Neunert , Alexander W. Winkler , Jonas Buchli

This work addresses the problem of kinematic trajectory planning for mobile manipulators with non-holonomic constraints, and holonomic operational-space tracking constraints. We obtain whole-body trajectories and time-varying kinematic…

Robotics · Computer Science 2018-01-17 Markus Giftthaler , Farbod Farshidian , Timothy Sandy , Lukas Stadelmann , Jonas Buchli

In this paper, we propose, discuss, and validate an online Nonlinear Model Predictive Control (NMPC) method for multi-rotor aerial systems with arbitrarily positioned and oriented rotors which simultaneously addresses the local reference…

Robotics · Computer Science 2020-09-11 Davide Bicego , Jacopo Mazzetto , Ruggero Carli , Marcello Farina , Antonio Franchi

This paper presents the modeling, control design, and performance analysis of a Magnetic Ball Suspension System (MBSS), a nonlinear and inherently unstable electromechanical system used in various precision applications. The system's…

Systems and Control · Electrical Eng. & Systems 2026-01-23 Sampson E. Nwachukwu

Smooth autonomous dynamical systems modeled by ordinary differential equations (ODEs) cannot robustly and globally stabilize a point in compact, boundaryless manifolds. This obstruction, which is topological in nature, implies that…

Optimization and Control · Mathematics 2022-12-08 Daniel E. Ochoa , Jorge I. Poveda

When a mobile manipulator's wheel loses contact with the ground, tipping-over may occur, causing material damage, and in the worst case, it can put human lives in danger. The tip-over stability of wheeled mobile manipulators must not be…

Robotics · Computer Science 2022-04-26 Goran R. Petrović , Jouni Mattila

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

We propose a novel and efficient lifting approach for the optimal control of rigid-body systems with contacts to improve the convergence properties of Newton-type methods. To relax the high nonlinearity, we consider the state, acceleration,…

Optimization and Control · Mathematics 2022-10-25 Sotaro Katayama , Toshiyuki Ohtsuka

One of the most challenging issues in adaptive control of robot manipulators with kinematic uncertainties is requirement of the inverse of Jacobian matrix in regressor form. This requirement is inevitable in the case of the control of…

Systems and Control · Electrical Eng. & Systems 2021-02-26 M. Reza J. Harandi , S. A. Khalilpour , Hamid. D. Taghirad , Jose Guadalupe Romero

In order to increase the number of situations in which an intelligent vehicle can operate without human intervention, lateral control is required to accurately guide it in a reference trajectory regardless of the shape of the road or the…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Marcos Moreno-Gonzalez , Antonio Artuñedo , Jorge Villagra , Cédric Join , Michel Fliess

A new model-free setting and the corresponding "intelligent" P and PD controllers are employed for the longitudinal and lateral motions of a vehicle. This new approach has been developed and used in order to ensure simultaneously a best…

Optimization and Control · Mathematics 2015-03-25 Lghani Menhour , Brigitte D'Andréa-Novel , Michel Fliess , Dominique Gruyer , Hugues Mounier

Nonlinear tracking control enabling a dynamical system to track a desired trajectory is fundamental to robotics, serving a wide range of civil and defense applications. In control engineering, designing tracking control requires complete…

Robotics · Computer Science 2023-09-21 Zheng-Meng Zhai , Mohammadamin Moradi , Ling-Wei Kong , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

Dynamic locomotion in rough terrain requires accurate foot placement, collision avoidance, and planning of the underactuated dynamics of the system. Reliably optimizing for such motions and interactions in the presence of imperfect and…

Robotics · Computer Science 2022-08-18 Ruben Grandia , Fabian Jenelten , Shaohui Yang , Farbod Farshidian , Marco Hutter

Model-reference adaptive systems refer to a consortium of techniques that guide plants to track desired reference trajectories. Approaches based on theories like Lyapunov, sliding surfaces, and backstepping are typically employed to advise…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Mohammed Abouheaf , Wail Gueaieb , Davide Spinello , Salah Al-Sharhan

Attaching a heavy payload to the wrist force/moment (F/M) sensor of a manipulator can cause conventional impedance controllers to fail in establishing the desired impedance due to the presence of non-contact forces; namely, the inertial and…

Robotics · Computer Science 2024-09-24 Farhad Aghili