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Legged robots can traverse a wide variety of terrains, some of which may be challenging for wheeled robots, such as stairs or highly uneven surfaces. However, quadruped robots face stability challenges on slippery surfaces. This can be…

Bipedal walking is one of the most important hallmarks of human that robots have been trying to mimic for many decades. Although previous control methodologies have achieved robot walking on some terrains, there is a need for a framework…

Robotics · Computer Science 2025-12-01 Chrysostomos Karakasis , Ioannis Poulakakis , Panagiotis Artemiadis

In this article, we propose a deep learning framework that provides a unified approach to the problem of leg contact detection in humanoid robot walking gaits. Our formulation accomplishes to accurately and robustly estimate the contact…

Robotics · Computer Science 2022-08-02 Stylianos Piperakis , Michael Maravgakis , Dimitrios Kanoulas , Panos Trahanias

In this paper, we derive a new Kalman filter with probabilistic data association between measurements and states. We formulate a variational inference problem to approximate the posterior density of the state conditioned on the measurement…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Hanwen Cao , George J. Pappas , Nikolay Atanasov

Autonomous mobile robots operating in novel environments depend critically on accurate state estimation, often utilizing visual and inertial measurements. Recent work has shown that an invariant formulation of the extended Kalman filter…

Robotics · Computer Science 2025-10-06 Abdullah Altawaitan , Jason Stanley , Sambaran Ghosal , Thai Duong , Nikolay Atanasov

This paper develops the theoretical framework and the equations of a new robust Generalized Maximum-likelihood-type Unscented Kalman Filter (GM-UKF) that is able to suppress observation and innovation outliers while filtering out…

Statistics Theory · Mathematics 2020-06-02 Junbo Zhao , Lamine Mili

Mathematical modeling and simulation of complex physical systems based on partial differential equations (PDEs) have been widely used in engineering and industrial applications. To enable reliable predictions, it is crucial yet challenging…

Numerical Analysis · Mathematics 2021-07-20 Han Gao , Jian-Xun Wang

This paper presents a formal verification guided approach for a principled design and implementation of robust and resilient learning-enabled systems. We focus on learning-enabled state estimation systems (LE-SESs), which have been widely…

Robotics · Computer Science 2024-04-09 Wei Huang , Yifan Zhou , Gaojie Jin , Youcheng Sun , Jie Meng , Fan Zhang , Xiaowei Huang

The ensemble Kalman filter (EnKF) is a popular technique for performing inference in state-space models (SSMs), particularly when the dynamic process is high-dimensional. Unlike reweighting methods such as sequential Monte Carlo (SMC, i.e.…

Humanoid robots have great potential for a wide range of applications, including industrial and domestic use, healthcare, and search and rescue missions. However, bipedal locomotion in different environments is still a challenge when it…

Robotics · Computer Science 2025-11-21 Lasse Hohmeyer , Mihaela Popescu , Ivan Bergonzani , Dennis Mronga , Frank Kirchner

Estimation of a dynamical system's latent state subject to sensor noise and model inaccuracies remains a critical yet difficult problem in robotics. While Kalman filters provide the optimal solution in the least squared sense for linear and…

Robotics · Computer Science 2022-02-10 Fahira Afzal Maken , Fabio Ramos , Lionel Ott

The heavy-load legged robot has strong load carrying capacity and can adapt to various unstructured terrains. But the large weight results in higher requirements for motion stability and environmental perception ability. In order to utilize…

Robotics · Computer Science 2025-07-31 Ze Fu , Yinghui Li , Weizhong Guo

In this study, we address multi-robot localization issues, with a specific focus on cooperative localization and observability analysis of relative pose estimation. Cooperative localization involves enhancing each robot's information…

Robotics · Computer Science 2024-02-06 Kihoon Shin , Hyunjae Sim , Seungwon Nam , Yonghee Kim , Jae Hu , Kwang-Ki K. Kim

Locomotion on granular slopes such as sand dunes remains a fundamental challenge for legged robots due to reduced shear strength and gravity-induced anisotropic yielding of granular media. Using a hexapedal robot on a tiltable granular bed,…

Robotics · Computer Science 2026-04-06 Xingjue Liao , Feifei Qian

We derive a novel, provably robust, and closed-form Bayesian update rule for online filtering in state-space models in the presence of outliers and misspecified measurement models. Our method combines generalised Bayesian inference with…

Cooperative localization and target tracking are essential for multi-robot systems to implement high-level tasks. To this end, we propose a distributed invariant Kalman filter based on covariance intersection for effective multi-robot pose…

Robotics · Computer Science 2024-09-17 Haoying Li , Qingcheng Zeng , Haoran Li , Yanglin Zhang , Junfeng Wu

This article explores the estimation of parameters and states for linear stochastic systems with deterministic control inputs. It introduces a novel Kalman filtering approach called Kalman Filtering with Correlated Noises Recursive…

Systems and Control · Electrical Eng. & Systems 2025-07-11 Abd El Mageed Hag Elamin Khalid

In the field of gas pipeline location, existing pipeline location methods mostly rely on pipeline location instruments. However, when faced with complex and curved pipeline scenarios, these methods often fail due to problems such as cable…

Robotics · Computer Science 2025-12-29 Yan Gao , Jiliang Wang , Minghan Wang , Xiaohua Chen , Demin Chen , Zhiyong Ren , Tian-Yun Huang

This article presents an up-to-date tutorial review of nonlinear Bayesian estimation. State estimation for nonlinear systems has been a challenge encountered in a wide range of engineering fields, attracting decades of research effort. To…

Systems and Control · Computer Science 2017-12-15 Huazhen Fang , Ning Tian , Yebin Wang , MengChu Zhou , Mulugeta A. Haile

A Kalman filter can be used to determine material parameters using uncertain experimental data. However, starting with inappropriate initial values for material parameters might include false local attractors or even divergence. Also,…

Materials Science · Physics 2015-02-13 Abdallah Shokry , Per Ståhle
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