English
Related papers

Related papers: Fractional-order Modeling for Nonlinear Soft Actua…

200 papers

L1 adaptive controller has been recognized for having a structure that allows decoupling between robustness and adaption owing to the introduction of a low pass filter with adjustable gain in the feedback loop. The trade-off between…

Systems and Control · Computer Science 2018-09-17 Hashim A. Hashim , Sami El-Ferik , Mohamed A. Abido

Fractional order models have proven to be a very useful tool for the modeling of the mechanical behaviour of viscoelastic materials. Traditional numerical solution methods exhibit various undesired properties due to the non-locality of the…

Numerical Analysis · Mathematics 2023-01-30 Kai Diethelm

Conventional soft pneumatic actuators, typically based on hollow elastomeric chambers, often suffer from small structural support and require costly geometry-specific redesigns for multimodal functionality. Porous materials such as foam,…

Robotics · Computer Science 2025-12-16 Canqi Meng , Weibang Bai

In order to identify complicated systems, more prominent and promising methods are needed among which we may refer to fractional order differential equations. The aim of this paper is to propose a fractional order nonlinear model to predict…

Plasma Physics · Physics 2017-06-20 Z. Aslipour , A. Yazdizadeh

Optimizing the design of spur gears, regarding their mass or failure reduction, leads to reduced costs. The proposed work is aimed at using Particle Swarm Optimization (PSO) to solve single and multiple-objective optimization problems…

Computational Physics · Physics 2024-01-17 Ricardo Fitas , Carlos Fernandes , Carlos Conceição António

Task-driven design of soft robots requires models that are physically accurate and computationally efficient, while remaining transferable across actuator designs and task scenarios. However, existing modeling approaches typically face a…

Robotics · Computer Science 2026-03-23 Yao Yao , David Howard , Perla Maiolino

We study nonparametric estimation in dynamical systems described by ordinary differential equations (ODEs). Specifically, we focus on estimating the unknown function $f \colon \mathbb{R}^d \to \mathbb{R}^d$ that governs the system dynamics…

Statistics Theory · Mathematics 2025-01-06 Christof Schötz

In swarm intelligence, Particle Swarm Optimization (PSO) and Differential Evolution (DE) have been successfully applied in many optimization tasks, and a large number of variants, where novel algorithm operators or components are…

Neural and Evolutionary Computing · Computer Science 2020-06-23 Rick Boks , Hao Wang , Thomas Bäck

Characterizing the long term behavior of dynamical systems given limited measurements is a common challenge throughout the physical and biological sciences. This is a challenging task due to the sparsity and noise inherent to empirical…

Machine Learning · Computer Science 2026-03-10 Roy Friedman , Noa Moriel , Matthew Ricci , Guy Pelc , Yair Weiss , Mor Nitzan

This study presents a framework for estimating the full vibrational state of wind turbine blades from sparse deflection measurements. The identification is performed in a reduced-order space obtained from a Proper Orthogonal Decomposition…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Lorenzo Schena , Wim Munters , Jan Helsen , Miguel A. Mendez

Battery impedance spectroscopy models are given by fractional order (FO) differential equations. In the discrete-time domain, they give rise to state-space models where the latent process is not Markovian. Parameter estimation for these…

Optimization and Control · Mathematics 2016-01-29 Pierre E. Jacob , S. M. Mahdi Alavi , Adam Mahdi , Stephen J. Payne , David A. Howey

This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling dynamic fracture in brittle and quasi-brittle solids. More…

Materials Science · Physics 2020-08-26 Sansit Patnaik , Fabio Semperlotti

Reduced-order models have long been used to understand the behavior of nonlinear partial differential equations (PDEs). Naturally, reduced-order modeling techniques come at the price of computational accuracy for a decrease in computation…

Numerical Analysis · Mathematics 2023-07-26 Jovan Žigić

Reduced order modeling (ROM) techniques are numerical methods that approximate the solution of parametric partial differential equation (PDE) by properly combining the high-fidelity solutions of the problem obtained for several…

Numerical Analysis · Mathematics 2023-08-08 M. Girfoglio , L. Scandurra , F. Ballarin , G. Infantino , F. Nicolò , A. Montalto , G. Rozza , R. Scrofani , M. Comisso , F. Musumeci

This paper develops a fractional stochastic partial differential equation (SPDE) to model the evolution of a random tangent vector field on the unit sphere. The SPDE is governed by a fractional diffusion operator to model the L\'{e}vy-type…

Probability · Mathematics 2024-01-15 Vo V. Anh , Andriy Olenko , Yu Guang Wang

This study presents a fractional-order continuum mechanics approach that allows combining selected characteristics of nonlocal elasticity, typical of classical integral and gradient formulations, under a single frame-invariant framework.…

Numerical Analysis · Mathematics 2020-05-21 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

Soft robots offer unmatched adaptability and safety in unstructured environments, yet their compliant, high-dimensional, and nonlinear dynamics make modeling for control notoriously difficult. Existing data-driven approaches often fail to…

Robotics · Computer Science 2025-11-03 Hehui Zheng , Bhavya Sukhija , Chenhao Li , Klemens Iten , Andreas Krause , Robert K. Katzschmann

Soft actuators offer a safe, adaptable approach to tasks like gentle grasping and dexterous manipulation. Creating accurate models to control such systems however is challenging due to the complex physics of deformable materials. Accurate…

Robotics · Computer Science 2022-07-19 Manu Lahariya , Craig Innes , Chris Develder , Subramanian Ramamoorthy

Modeling and predicting the dynamics of complex multiscale systems remains a significant challenge due to their inherent nonlinearities and sensitivity to initial conditions, as well as limitations of traditional machine learning methods…

Machine Learning · Computer Science 2025-10-23 Elias Al Ghazal , Jad Mounayer , Beatriz Moya , Sebastian Rodriguez , Chady Ghnatios , Francisco Chinesta

The random drift particle swarm optimization (RDPSO) algorithm, inspired by the free electron model in metal conductors placed in an external electric field, is presented, systematically analyzed and empirically studied in this paper. The…

Artificial Intelligence · Computer Science 2013-06-13 Jun Sun , Xiaojun Wu , Vasile Palade , Wei Fang , Yuhui Shi