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We propose an efficient retraining strategy for a parameterized Reduced Order Model (ROM) that attains accuracy comparable to full retraining while requiring only a fraction of the computational time and relying solely on sparse…

Machine Learning · Computer Science 2026-02-27 Ismaël Zighed , Andrea Nóvoa , Luca Magri , Taraneh Sayadi

Wheeled-legged robots combine the efficiency of wheeled robots when driving on suitably flat surfaces and versatility of legged robots when stepping over or around obstacles. This paper introduces a planning and control framework to realise…

Robotics · Computer Science 2020-03-10 Songyan Xin , Sethu Vijayakumar

To overcome the obstructions imposed by high-dimensional bipedal models, we embed a stable walking motion in an attractive low-dimensional surface of the system's state space. The process begins with trajectory optimization to design an…

Dynamical Systems · Mathematics 2017-11-08 Xingye Da , Jessy Grizzle

Simplified models are useful to increase the computational efficiency of a motion planning algorithm, but their lack of accuracy have to be managed. We propose two feasibility constraints to be included in a Single Rigid Body Dynamicsbased…

To generate reliable motion for legged robots through trajectory optimization, it is crucial to simultaneously compute the robot's path and contact sequence, as well as accurately consider the dynamics in the problem formulation. In this…

Robotics · Computer Science 2025-10-29 Sangmin Kim , Hajun Kim , Gijeong Kim , Min-Gyu Kim , Hae-Won Park

The process of robot design is a complex task and the majority of design decisions are still based on human intuition or tedious manual tuning. A more informed way of facing this task is computational design methods where design parameters…

Robotics · Computer Science 2022-10-07 Álvaro Belmonte-Baeza , Joonho Lee , Giorgio Valsecchi , Marco Hutter

A nonintrusive model order reduction method for bilinear stochastic differential equations with additive noise is proposed. A reduced order model (ROM) is designed in order to approximate the statistical properties of high-dimensional…

Numerical Analysis · Mathematics 2025-06-11 M. A. Freitag , J. M. Nicolaus , M. Redmann

We present a footstep planning policy for quadrupedal locomotion that is able to directly take into consideration a-priori safety information in its decisions. At its core, a learning process analyzes terrain patches, classifying each…

Robotics · Computer Science 2025-01-30 Shafeef Omar , Lorenzo Amatucci , Victor Barasuol , Giulio Turrisi , Claudio Semini

Model-free reinforcement learning (RL) for legged locomotion commonly relies on a physics simulator that can accurately predict the behaviors of every degree of freedom of the robot. In contrast, approximate reduced-order models are…

Robotics · Computer Science 2022-02-17 Zhaoming Xie , Xingye Da , Buck Babich , Animesh Garg , Michiel van de Panne

Legged robot locomotion on a dynamic rigid surface (i.e., a rigid surface moving in the inertial frame) involves complex full-order dynamics that is high-dimensional, nonlinear, and time-varying. Towards deriving an analytically tractable…

Robotics · Computer Science 2022-02-02 Amir Iqbal , Sushant Veer , Yan Gu

One of the big attractions of low-dimensional models for gait design has been the ability to compute solutions rapidly, whereas one of their drawbacks has been the difficulty in mapping the solutions back to the target robot. This paper…

Robotics · Computer Science 2019-03-18 Ayonga Hereid , Omar Harib , Ross Hartley , Yukai Gong , Jessy W. Grizzle

The current study aims to evaluate and investigate the development of projection-based reduced-order models (ROMs) for efficient and accurate RDE simulations. Specifically, we focus on assessing the projection-based ROM construction…

Fluid Dynamics · Physics 2024-08-29 Ryan Camacho , Cheng Huang

The efficient optimization of actuated soft structures, particularly under complex nonlinear forces, remains a critical challenge in advancing robotics. Simulations of nonlinear structures, such as soft-bodied robots modeled using the…

Robotics · Computer Science 2026-02-17 Mathieu Dubied , Paolo Tiso , Robert K. Katzschmann

The use of Internet of Things (IoT) technologies is becoming a preferred solution for the assessment of tailings dams' safety. Real-time sensor monitoring proves to be a key tool for reducing the risk related to these ever-evolving…

Computational Engineering, Finance, and Science · Computer Science 2021-06-08 Christina Nasikaa , Pedro Diez , Pierre Gerard , Thierry J. Massart , Sergio Zlotnik

Simulating physical systems governed by Lagrangian dynamics often entails solving partial differential equations (PDEs) over high-resolution spatial domains, leading to significant computational expense. Reduced-order modeling (ROM)…

Machine Learning · Computer Science 2026-03-04 Hrishikesh Viswanath , Yue Chang , Aleksey Panas , Julius Berner , Peter Yichen Chen , Aniket Bera

Humanoid robots have great potential for real-world applications due to their ability to operate in environments built for humans, but their deployment is hindered by the challenge of controlling their underlying high-dimensional nonlinear…

Robotics · Computer Science 2025-02-24 Sergio A. Esteban , Vince Kurtz , Adrian B. Ghansah , Aaron D. Ames

State estimation is key to both analyzing physical mechanisms and enabling real-time control of fluid flows. A common estimation approach is to relate sensor measurements to a reduced state governed by a reduced-order model (ROM). (When…

Fluid Dynamics · Physics 2020-06-10 Nirmal J. Nair , Andres Goza

While reduced-order models (ROMs) have been popular for efficiently solving large systems of differential equations, the stability of reduced models over long-time integration is of present challenges. We present a greedy approach for ROM…

Numerical Analysis · Mathematics 2018-03-20 Babak Maboudi Afkham , Jan S. Hesthaven

Reduced-order models (ROMs) are systems of ordinary differential equations (ODEs) designed to approximate the dynamics of partial differential equations (PDEs). In this work, a distinguished hierarchy of ROMs is constructed for Rayleigh's…

Fluid Dynamics · Physics 2022-03-07 Matthew L. Olson , Charles R. Doering

This study concerns the development of a data-based compact model for the prediction of the fluid temperature evolution in district heating (DH) pipeline networks. This so-called "reduced-order model" (ROM) is obtained from reduction of the…

Numerical Analysis · Mathematics 2022-11-28 Mengting Jiang , Michel Speetjens , Camilo Rindt , David Smeulders