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A novel approach is presented for computing flexible body dynamics based on conventional structural dynamics models. This approach innovatively captures the rigid body motion component embedded within a flexible body's movement, generates…

Numerical Analysis · Mathematics 2025-10-29 Xiaobo Liu

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

Robust control of complex engineered and biological systems hinges on the integration of feedforward and feedback mechanisms. This is exemplified in neural motor control, where feedforward muscle co-contraction complements sensory-driven…

Optimization and Control · Mathematics 2026-03-06 Bastien Berret , Frédéric Jean

Musculoskeletal models have been widely used for detailed biomechanical analysis to characterise various functional impairments given their ability to estimate movement variables (i.e., muscle forces and joint moment) which cannot be…

Signal Processing · Electrical Eng. & Systems 2022-07-05 Jie Zhang , Yihui Zhao , Fergus Shone , Zhenhong Li , Alejandro F. Frangi , Shengquan Xie , Zhiqiang Zhang

In this paper, we introduce a model-free, real-time, dynamic optimization and control method for a class of rigid body dynamics. Our method is based on a recent extremum seeking control for vibrational stabilization (ESC-VS) approach that…

Optimization and Control · Mathematics 2026-04-21 Rohan Palanikumar , Ahmed A. Elgohary , Simone Martini , Sameh A. Eisa

The embodied learning of human motor control requires whole-body neuro-actuated musculoskeletal dynamics, while the internal muscle-driven processes underlying movement remain inaccessible to direct measurement. Computational modeling…

Robotics · Computer Science 2026-04-01 Yunyue Wei , Chenhui Zuo , Shanning Zhuang , Haixin Gong , Yaming Liu , Yanan Sui

This paper presents a novel contact-implicit trajectory optimization method using an analytically solvable contact model to enable planning of interactions with hard, soft, and slippery environments. Specifically, we propose a novel contact…

Robotics · Computer Science 2020-07-23 Iordanis Chatzinikolaidis , Yangwei You , Zhibin Li

We present a homotopic approach to solving challenging, optimization-based motion planning problems. The approach uses Homotopy Optimization, which, unlike standard continuation methods for solving homotopy problems, solves a sequence of…

Robotics · Computer Science 2024-08-23 Shayan Pardis , Matthew Chignoli , Sangbae Kim

Data-driven methods have become increasingly more prominent for musculoskeletal modelling due to their conceptually intuitive simple and fast implementation. However, the performance of a pre-trained data-driven model using the data from…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Jie Zhang , Yihui Zhao , Tianzhe Bao , Zhenhong Li , Kun Qian , Alejandro F. Frangi , Sheng Quan Xie , Zhi-Qiang Zhang

We present SoftSMPL, a learning-based method to model realistic soft-tissue dynamics as a function of body shape and motion. Datasets to learn such task are scarce and expensive to generate, which makes training models prone to overfitting.…

Computer Vision and Pattern Recognition · Computer Science 2020-12-11 Igor Santesteban , Elena Garces , Miguel A. Otaduy , Dan Casas

We introduce a class of first-order methods for smooth constrained optimization that are based on an analogy to non-smooth dynamical systems. Two distinctive features of our approach are that (i) projections or optimizations over the entire…

Optimization and Control · Mathematics 2025-04-15 Michael Muehlebach , Michael I. Jordan

This article examines a symbolic numerical approach to optimize a vehicle's track for autonomous driving and collision avoidance. The new approach uses the classical cost function definition incorporating the essential aspects of the…

Optimization and Control · Mathematics 2022-10-18 Hazem Fahmy , Mohamed A. Abd El Ghany , Gerd Baumann

In rehabilitation, powered, and teleoperation exoskeletons, connecting the human body to the exoskeleton through binding attachments is a common configuration. However, the uncertainty of the tightness and the donning deviation of the…

Robotics · Computer Science 2025-03-04 Chuang Cheng , Xinglong Zhang , Xieyuanli Chen , Wei Dai , Longwen Chen , Daoxun Zhang , Hui Zhang , Jie Jiang , Huimin Lu

Modern optimal control theory involves adjoining the already known equations of motion of a dynamic system to the objective function using dynamic costates; this is done in order to constrain the optimal control solutions to satisfy the…

Optimization and Control · Mathematics 2026-05-25 Ossama Abdelkhalik , Aimar Negrete

The realization space of geometric constraint systems is given by the vanishing locus of polynomials corresponding to natural geometric constraints. Such geometric constraint systems arise in many real-world scenarios such as structural…

Metric Geometry · Mathematics 2026-04-14 Matthias Adrian-Himmelmann

This work focuses on the optimization of the training trajectory orientation using a robot as an advanced exercise machine (AEM) and muscle activations as biofeedback. Muscle recruitment patterns depend on trajectory parameters of the AEMs…

Robotics · Computer Science 2021-04-26 Humberto De las Casas , Nicholas Chambers , Hanz Richter , Kenneth Sparks

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

Muscle force sharing is typically resolved by minimizing a specific objective function to approximate neural control strategies. An inverse optimal control approach was applied to identify the "best" objective function, among a positive…

Medical Physics · Physics 2025-10-21 Filip Bečanović , Vincent Bonnet , Kosta Jovanović , Samer Mohammed , Raphaël Dumas

In many human-in-the-loop robotic applications such as robot-assisted surgery and remote teleoperation, predicting the intended motion of the human operator may be useful for successful implementation of shared control, guidance virtual…

Robotics · Computer Science 2018-03-28 Arun Kumar Singh , Sigal Berman , Ilana Nisky

In this paper, we present an efficient form of Volterra's equations of motion for both unconstrained and constrained multibody dynamical systems that include ignorable coordinates. The proposed method is applicable for systems with both…

Dynamical Systems · Mathematics 2022-11-01 Mohammad Hussein Yoosefian Nooshabadi , Hossein Nejat Pishkenari