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Multibody dynamics simulations have become widely used tools for vehicle systems analysis and design. As this approach evolves, it becomes able to provide additional information for various types of analyses. One very important direction is…

Computational Engineering, Finance, and Science · Computer Science 2014-11-05 Yitao Zhu , Corina Sandu , Daniel Dopico , Adrian Sandu

Multibody dynamics simulations are currently widely accepted as valuable means for dynamic performance analysis of mechanical systems. The evolution of theoretical and computational aspects of the multibody dynamics discipline make it…

Chaotic Dynamics · Physics 2014-10-31 Yitao Zhu , Daniel Dopico , Corina Sandu , Adrian Sandu

In automotive engineering, designing for optimal vehicle dynamics is challenging due to the complexities involved in analysing the behaviour of a multibody system. Typically, a simplified set of dynamics equations for only the key bodies of…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Hyunmin Cheong , Mehran Ebrahimi , Hesam Salehipour , Adrian Butscher , Alex Tessier

The design space of dynamic multibody systems (MBSs), particularly those with flexible components, is considerably large. Consequently, having a means to efficiently explore this space and find the optimum solution within a feasible…

Optimization and Control · Mathematics 2025-01-08 Mehran Ebrahimi , Adrian Butscher , Hyunmin Cheong , Francesco Iorio

The simulation of multi-body systems with frictional contacts is a fundamental tool for many fields, such as robotics, computer graphics, and mechanics. Hard frictional contacts are particularly troublesome to simulate because they make the…

Robotics · Computer Science 2022-04-19 Bilal Hammoud , Luca Olivieri , Ludovic Righetti , Justin Carpentier , Andrea Del Prete

Sensitivity analysis of multibody systems computes the derivatives of general cost functions that depend on the system solution with respect to parameters or initial conditions. This work develops adjoint sensitivity analysis for hybrid…

Optimization and Control · Mathematics 2018-02-21 Sebastien Corner , Corina Sandu , Adrian Sandu

A novel unified approach to jointly optimize structural design parameters, actuator and sensor precision and controller parameters is presented in this paper. The joint optimization problem is posed as a covariance control problem, where…

Systems and Control · Electrical Eng. & Systems 2021-06-02 Raman Goyal , Manoranjan Majji , Robert E. Skelton

Continuum soft robots are inherently underactuated and subject to intrinsic input constraints, making dynamic control particularly challenging, especially in hybrid rigid-soft robots. While most existing methods focus on quasi-static…

Force modulation of robotic manipulators has been extensively studied for several decades but is not yet commonly used in safety-critical applications due to a lack of accurate interaction contact modeling and weak performance guarantees -…

Robotics · Computer Science 2020-08-06 Lasitha Wijayarathne , Qie Sima , Ziyi Zhou , Ye Zhao , Frank L. Hammond

We introduce a modeling framework for manipulation planning based on the formulation of the dynamics as a projected dynamical system. This method uses implicit signed distance functions and their gradients to formulate an equivalent…

Optimization and Control · Mathematics 2025-01-22 Anton Pozharskiy , Armin Nurkanović , Moritz Diehl

Autonomous systems are composed of several subsystems such as mechanical, propulsion, perception, planning and control. These are traditionally designed separately which makes performance optimization of the integrated system a significant…

Robotics · Computer Science 2022-03-01 Hongrui Zheng , Johannes Betz , Rahul Mangharam

This paper presents a new approach to accurately simulating 3D overhead cranes with friction. Although nonlinear friction dynamics has a significant impact on these systems, accurately modeling this phenomenon in simulations is a…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Jorge Vicente-Martinez , Edgar Ramirez-Laboreo

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

Quantum many-body control is among most challenging problems in quantum science, due to computational complexity of related underlying problems. We propose an efficient approach for solving a class of control problems for many-body quantum…

Quantum Physics · Physics 2024-02-21 I. A. Luchnikov , M. A. Gavreev , A. K. Fedorov

Robust controllers that stabilize dynamical systems even under disturbances and noise are often formulated as solutions of nonsmooth, nonconvex optimization problems. While methods such as gradient sampling can handle the nonconvexity and…

Optimization and Control · Mathematics 2023-05-01 Steffen W. R. Werner , Michael L. Overton , Benjamin Peherstorfer

We present a differentiable dynamics solver that is able to handle frictional contact for rigid and deformable objects within a unified framework. Through a principled mollification of normal and tangential contact forces, our method…

Collisions are common in many dynamical systems with real applications. They can be formulated as hybrid dynamical systems with discontinuities automatically triggered when states transverse certain manifolds. We present an algorithm for…

Optimization and Control · Mathematics 2025-01-20 Wei Hu , Jihao Long , Yaohua Zang , Weinan E , Jiequn Han

We demonstrate the efficiency of a recent exact-gradient optimal control methodology by applying it to a challenging many-body problem, crossing the superfluid to Mott-insulator phase transition in the Bose-Hubbard model. The system size…

Accurate physical simulation is crucial for the development and validation of control algorithms in robotic systems. Recent works in Reinforcement Learning (RL) take notably advantage of extensive simulations to produce efficient robot…

Robotics · Computer Science 2025-11-05 Marc Duclusaud , Grégoire Passault , Vincent Padois , Olivier Ly

Robotic manipulation and locomotion often entail nearly-simultaneous collisions -- such as heel and toe strikes during a foot step -- with outcomes that are extremely sensitive to the order in which impacts occur. Robotic simulators…

Robotics · Computer Science 2023-08-16 Mathew Halm , Michael Posa
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